INIS Repository Search - Results for the query - DEI:"MATRICES"
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http://inis.iaea.org/Search/search.aspx?orig_q=RN:17052384
On the simultaneous diagonalizability of matricesGrimus, W.; Ecker, G.</br>Vienna Univ. (Austria). Inst. fuer Theoretische Physik</br>We prove two theorems on the simultaneous diagonalizability of a set of complex square matrices by a biunitary transformation. (Author)
http://inis.iaea.org/Search/search.aspx?orig_q=RN:6215904
On the eigenvalue with highest real part in a type of matricesDelattre, Pierre (CEA Centre d'Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Groupe d'Etudes des Effets des Rayonnements sur les Structures Moleculaires)</br>There are many theorems concerning the eigenvalues of matrices with dominant main diagonal, but very few when this condition is not satisfied. The theorem here proposed belongs to this second category
http://inis.iaea.org/Search/search.aspx?orig_q=RN:21088318
Matrix orderings and their associated skew fieldsMahdavi-Hezavehi, M.</br>International Centre for Theoretical Physics, Trieste (Italy)</br>Matrix orderings on rings are investigated. It is shown that in the commutative case they are essentially positive cones. This is proved by reducing it to the field case; similarly one can show that on a skew field, matrix positive...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:16058823
Existence and Computation of LU-factorization with small pivotsChan, T.F. (Santa Barbara Research Center, Goleta, California 93117)</br>Let A be an n by n matrix which may be singular with a one-dimensional null space, and consider the LU-factorization of A. When A is exactly singular, we show conditions under which a pivoting strategy will produce a zero nth pivot....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51026843
Random antagonistic matricesCicuta, Giovanni M (Dip. Fisica, Univ. Parma, Parco Area delle Scienze 7A, I-43100 Parma (Italy)); Molinari, Luca Guido (Physics Department, Università degli Studi di Milano and I.N.F.N. sez. Milano, Via Celoria 16, I-20133 Milano...</br>The ensemble of antagonistic matrices is introduced and studied. In antagonistic matrices the entries <math xmlns="http://www.w3.org/1998/Math/MathML"><msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD">...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40076134
Eigenvalue estimates for Hankel matricesZamarashkin, N L; Tyrtyshnikov, E E (Institute of Computational Mathematics of the Russian Academy of Sciences, Moscow (Russian Federation))</br>Positive-definite Hankel matrices have an important property: the ratio of the largest and the smallest eigenvalues (the spectral condition number) has as a lower bound an increasing exponential of the order of the matrix that is...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:25045352
Jacobson radicals in matrix near ringsAbbasi, S.J.</br>International Centre for Theoretical Physics, Trieste (Italy)</br>This paper was motivated by the question: Does, like the ring case, the process of taking Jacobson Radicals and constructing matrix near rings coincide? We present here, for the class of weakly distributive d.g. near rings, a conditionally...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50017141
On the Determinantal Range of Matrix ProductsGuterman, A. (Lomonosov Moscow State University (Russian Federation)); Soares, G. (Mathematics Center CMAT, Pole CMAT-UTAD, Universidade de Trás-os-Montes e Alto Douro, UTAD, Escola das Ciências e Tecnologia (Portugal)), E-mail: guterman@list.ru,...</br>Let matrices <i>A</i>,<i>C</i> ∈ <i>M</i><sub><i>n</i></sub> have eigenvalues <i>α</i><sub>1</sub>, . . ., <i>α</i><sub><i>n</i></sub> and <i>γ</i><sub>1</sub>, . . . , <i>γ</i><sub><i>n</i></sub>, respectively....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:26002776
On commutativity of right s-unital rings with some polynomial constraintsKhan, M.A.</br>International Centre for Theoretical Physics, Trieste (Italy)</br>We study the commutativity of certain class of rings, namely rings with unity 1 and right s-unital rings under each of the following properties [yx<sup>m</sup> - x<sup>n</sup> f(y)x<sup>p</sup>,x]=0, [yx<sup>m</sup>+x<sup>n</sup>f(y)x<sup>p</sup>,x]=0,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51084849
Towards the Reverse Decomposition of UnipotentsVavilov, N. A. (St. Petersburg State University (Russian Federation)), E-mail: nikolai-vavilov@yandex.ru</br>Decomposition of unipotents gives short polynomial expressions of the conjugates of elementary generators as products of elementaries. It turns out that with some minor twist the decomposition of unipotents can be read backwards to...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50012582
On semi-convergence and inexact iteration of the GSS iteration method for nonsymmetric singular saddle point problemsHuang, Zhuo-Hong (Chongqing University of Technology, School of Science (China)); Huang, Ting-Zhu (University of Electronic Science and Technology of China, School of Mathematical Sciences (China)), E-mail: zhuohonghuang@cqut.edu.cn</br>In this paper, the generalized shift-splitting (GSS) iteration method is used to solve nonsymmetric singular saddle point systems with the positive real (1, 1)-block sub-matrix. By a careful analysis of the spectral properties of...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41012088
Maps preserving invertibility of matrices over semiringsPshenitsyna, Olga A (M. V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:5125454
Algorithm for the exact reduction of a matrix to Frobenius form using modular arithmetic. IIHowell, J.A. (Los Alamos Scientific Lab., NM)</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44080807
Thévenin equivalents for inhomogeneous ladder networks of generatorsHong, Seok-In (Department of Science Education, Gyeongin National University of Education, Anyang 430-739 (Korea, Republic of)); Choi, Je-Young (Department of Embedded Software, Youngdong University, Youngdong, Chungbuk 370-701 (Korea,...</br>We find general formulas for Thévenin equivalents (equivalent voltage and equivalent impedance) for inhomogeneous ladder networks of generators defined as a voltage source and an impedance in series. In the projective matrix representation,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47049487
More on rotations as spin matrix polynomialsCurtright, Thomas L. (Department of Physics, University of Miami, Coral Gables, Florida 33124-8046 (United States))</br>Any nonsingular function of spin j matrices always reduces to a matrix polynomial of order 2j. The challenge is to find a convenient form for the coefficients of the matrix polynomial. The theory of biorthogonal systems is a useful...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49001698
Quantum walled Brauer algebra: commuting families, Baxterization, and representationsSemikhatov, A M; Yu Tipunin, I (Lebedev Physics Institute, Moscow 119991 (Russian Federation)), E-mail: asemikha@gmail.com, E-mail: tipunin@gmail.com</br>For the quantum walled Brauer algebra, we construct its Specht modules and (for generic parameters of the algebra) seminormal modules. The latter construction yields the spectrum of a commuting family of Jucys–Murphy elements. We...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51077146
A decomposition of Laplace stretch with applications in inelasticityFreed, Alan D. (Texas A&M University, Department of Mechanical Engineering (United States)); Graverend, Jean-Briac le (Texas A&M University, Department of Aerospace Engineering (United States)); Rajagopal, K. R. (Texas A&M University,...</br>The kinematics of an inelastic solid established in terms of Laplace stretch and its rate are decomposed into one stretch that describes an elastic response, another stretch that describes an inelastic response, and their rates. These...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:52052327
Minimal entropy production rate of interacting systemsWolpert, David H (Santa Fe Institute, Santa Fe, New Mexico (United States)), E-mail: david.h.wolpert@gmail.com</br>Many systems are composed of multiple, interacting subsystems, where the dynamics of each subsystem only depends on the states of a subset of the other subsystems, rather than on all of them. I analyze how such constraints on the...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50014567
Determinants of Generalized Matrices of Order 2Krylov, P. A. (Tomsk State University (Russian Federation)), E-mail: krylov@math.tsu.ru</br>The concept of the determinant of a generalized matrix of order 2 is introduced, and some properties of such determinants are presented.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51026952
Product states and Schmidt rank of mutually unbiased bases in dimension sixChen, Lin (School of Mathematics and Systems Science, Beihang University, Beijing 100191 (China)); Yu, Li (Department of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 310036 (China)), E-mail: linchen@buaa.edu.cn, E-mail:...</br>We show that if a set of four mutually unbiased bases (MUBs) in <math xmlns="http://www.w3.org/1998/Math/MathML"><msup> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="double-struck">C</mi> </mrow> <mn>6</mn></msup></math> exists...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:14756501
The modified Gauss diagonalization of polynomial matricesSaeed, K.</br>International Centre for Theoretical Physics, Trieste (Italy)</br>The Gauss algorithm for diagonalization of constant matrices is modified for application to polynomial matrices. Due to this modification the diagonal elements become pure polynomials rather than rational functions. (author)
http://inis.iaea.org/Search/search.aspx?orig_q=RN:17041315
Minimal realizations of matrix fraction descriptionsZhang, S.Y.</br>Brookhaven National Lab., Upton, NY (USA)</br>In this paper, we present the systematic realizations for general matrix fraction description G = PQ<sup>-1</sup>R, and for the matrix fraction PQ<sup>-1</sup> and Q<sup>-1</sup>R. The realizations are based on the Kalman-Fuhrmann...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:27046056
A realisation of q-deformed of U(1)-Kac Moody and Virasoro algebras through the a-bar<sub>∞</sub> algebraEl Hassouni, A.; Zakkari, M. (Laboratoire de Physique Theorique (L.P.T.-I.C.A.C.), Rabat (Morocco). Dept. de Physique); Hassouni, Y.; Tahri, E.H. (International Centre for Theoretical Physics, Trieste (Italy))</br>International Centre for Theoretical Physics, Trieste (Italy)</br>A representation of one parameter deformation of U(1)-Kac Moody and Virasoro algebras is obtained through the infinite matrix algebra a-bar<sub>∞</sub>. Their central extensions are also investigated. (author). 19 refs
http://inis.iaea.org/Search/search.aspx?orig_q=RN:24051540
Distributively generated matrix near ringsAbbasi, S.J.</br>International Centre for Theoretical Physics, Trieste (Italy)</br>It is known that if R is a near ring with identity then (I,+) is abelian if (I<sup>+</sup>,+) is abelian and (I,+) is abelian if (I*,+) is abelian [S.J. Abbasi, J.D.P. Meldrum, 1991]. This paper extends these results. We show that...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:52003628
Compressed sensing reconstruction of synthetic transmit aperture dataset for volumetric diverging wave imagingChen, Yinran; Liu, Jing; Luo, Jianwen (Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing (China)); Grondin, Julien; Konofagou, Elisa E (Department of Biomedical Engineering, Columbia University,...</br>A high volume rate and high performance ultrasound imaging method based on a matrix array is proposed by using compressed sensing (CS) to reconstruct the complete dataset of synthetic transmit aperture (STA) from three-dimensional...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:5128091
Algorithm for the exact reduction of a matrix to Frobenius form using modular arithmetic. IHowell, J.A. (Los Alamos Scientific Lab., NM)</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39104869
Block Toeplitz operators with rational symbols (II)Hwang, In Sung (Department of Mathematics, Sungkyunkwan University, Suwon 440-746 (Korea, Republic of)); Lee, Woo Young (Department of Mathematics, Seoul National University, Seoul 151-742 (Korea, Republic of)), E-mail: ishwang@skku.edu,...</br>In this paper we derive a formula for the rank of the self-commutator of hyponormal block Toeplitz operators T<sub>Φ</sub> with matrix-valued rational symbols Φ in L<sup>∞</sup>(C<sup>nxn</sup>) via the classical Hermite-Fejer interpolation...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46018343
Hua measures on the space of p-adic matrices and inverse limits of GrassmanniansNeretin, Yu A (Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow (Russian Federation))</br>We construct p-adic analogues of Hua measures on inverse limits of p-adic Grassmannians and describe natural groups of symmetries of such measures
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49084477
Speckle noise reduction for optical coherence tomography images via non-local weighted group low-rank representationTang, Chang (School of Computer Science, China University of Geosciences, Wuhan 430074 (China)); Cao, Lijuan (Institute of Cardiovascular Disease Research, Huai’an Second People’s Hospital Affiliated to Xuzhou Medical College, 223002...</br>In this work, a non-local weighted group low-rank representation (WGLRR) model is proposed for speckle noise reduction in optical coherence tomography (OCT) images. It is based on the observation that the similarity between patches...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40107389
Lepton-flavor mixing and K → πν(bar ν) decaysGrossman, Yuval; Isidori, Gino; Murayama, Hitoshi</br>Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (United States). Funding organisation: Physics Division (United States)</br>The impact of possible sources of lepton-flavor mixing on K → πν(bar ν) decays is analyzed. At the one-loop level lepton-flavor mixing originated from non-diagonal lepton mass matrices cannot generate a CP-conserving K<sub>L</sub>...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41012085
Kernel estimators for the long-run covariance matrix of a random fieldKryzhanovskaya, Natal'ya Yu (M. V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41016415
Uniform distribution and Voronoi convergenceKozlov, Valerii V (V.A. Steklov Mathematical Institute, Russian Academy of Sciences, Moscow (Russian Federation)); Madsen, T</br>There is a broad generalization of a uniformly distributed sequence according to Weyl where the frequency of elements of this sequence falling into an interval is defined by using a matrix summation method of a general form. In the...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51048197
From Faddeev–Kulish to LSZ. Towards a non-perturbative description of colliding electronsDybalski, Wojciech (Zentrum Mathematik, Technische Universität München (Germany); Fakultät für Mathematik, Ludwig-Maximilians-Universität München (Germany)), E-mail: dybalski@ma.tum.de</br>In a low energy approximation of the massless Yukawa theory (Nelson model) we derive a Faddeev–Kulish type formula for the scattering matrix of N electrons and reformulate it in LSZ terms. To this end, we perform a decomposition of...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40074857
Spectra of random Gram matrices of increasing dimensionSerdobol'skii, V I (Moscow State Institute of Electronics and Mathematics (Technical University), Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41016490
Support of the extremal measure in a vector equilibrium problemLapik, M A (M.V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Moscow (Russian Federation))</br>A generalization of the Mhaskar-Saff functional is obtained for a vector equilibrium problem with an external field. As an application, the supports of the equilibrium measures are found in a special vector equilibrium problem with...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:29019907
Matrix representation of hypercomplex numbers and of analytical functions of hypercomplex variableCatoni, Francesco (ENEA, Centro Ricerche Casaccia, Rome (Italy). Dipt. Energia); Cannata, Roberto (ENEA, Centro Ricerche Casaccia, Rome (Italy). Funzione Centrale INFO); Nichelatti, Enrico (ENEA, Centro Ricerche Casaccia, Rome (Italy)....</br>ENEA, Centro Ricerche Casaccia, Rome (Italy). Dipt. Energia</br>Systems of hypercomplex numbers, which had been studied and developed at the end of the last century, are nowadays quite unknown to the scientific community. It is believed that study of their applications ended just before one of...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46035987
Dispersionless DKP hierarchy and the elliptic Löwner equationAkhmedova, V; Zabrodin, A (National Research University Higher School of Economics, International Laboratory of Representation Theory and Mathematical Physics, 20 Myasnitskaya Ulitsa, Moscow 101000 (Russian Federation)), E-mail: valeria-58@yandex.ru,...</br>We show that the dispersionless DKP hierarchy (the dispersionless limit of the Pfaff lattice) admits a suggestive reformulation through elliptic functions. We also consider one-variable reductions of the dispersionless DKP hierarchy...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49073683
Mono-2-ethylhexyl phthalate inhibits human extravillous trophoblast invasion via the PPARγ pathwayGao, Fumei; Hu, Wenxin; Li, Yu (Laboratory for Earth Surface Processes, College of Urban and Environmental Sciences, Peking University, Beijing 100871 (China)); Shen, Huan (Reproductive Medical Center, Peking University People's Hospital,...</br>Concerns over the adverse reproductive outcomes in human have been raised, more evidence including the underlying mechanism are required. Since extravillous trophoblast (EVT) invasion is an important physiological step during early...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40005007
The matrix Euler-Fermat theoremArnol'd, Vladimir I (Steklov Mathematical Institute, Russian Academy of Sciences (Russian Federation))</br>We prove many congruences for binomial and multinomial coefficients as well as for the coefficients of the Girard-Newton formula in the theory of symmetric functions. These congruences also imply congruences (modulo powers of primes)...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50017138
The CMV Matrix and the Generalized Lanczos ProcessIkramov, Kh. D. (Moscow Lomonosov State University (Russian Federation)), E-mail: ikramov@cs.msu.su</br>The CMV matrix is the five-diagonal matrix that represents the operator of multiplication by the independent variable in a special basis formed of Laurent polynomials orthogonal on the unit circle C. The article by Cantero, Moral,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40077537
On the length of the algebra of upper-triangular matricesMarkova, O V (M.V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41016526
Monotone matrix transformations defined by the group inverse and simultaneous diagonalizabilityBogdanov, I I; Guterman, A E (M.V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>Bijective linear transformations of the matrix algebra over an arbitrary field that preserve simultaneous diagonalizability are characterized. This result is used for the characterization of bijective linear monotone transformations...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:15047519
The algebra of two-component spinorsUrbantke, H. (Vienna Univ. (Austria). Inst. fuer Theoretische Physik)</br>Vienna Univ. (Austria)</br>An overview of the algebra of two-component spinors and of four-component spinors based on abstract linear algebra is given. The role of spinors for the complex Lorentz group and for all of its real forms is worked out. (G.Q.)
http://inis.iaea.org/Search/search.aspx?orig_q=RN:30022414
Matrix membranes and integrabilityZachos, C. (Argonne National Lab., IL (United States)); Fairlie, D. (University of Durham (United Kingdom). Dept. of Mathematical Sciences); Curtright, T. (University of Miami, Coral Gables, FL (United States). Dept. of Physics)</br>Argonne National Lab., IL (United States). Funding organisation: USDOE Office of Energy Research, Washington, DC (United States)</br>This is a pedagogical digest of results reported in Curtright, Fairlie, ampersand Zachos 1997, and an explicit implementation of Euler's construction for the solution of the Poisson Bracket dual Nahm equation. But it does not cover...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40073259
On the homotopy equivalence of simple AI-algebrasAristov, O Yu (Obninsk State Technical University for Nuclear Power Engineering, Obninsk, Kaluga Region (Russian Federation))</br>Let A and B be simple unital AI-algebras (an AI-algebra is an inductive limit of C*-algebras of the form BigOplus<sub>i</sub><sup>k</sup>C([0,1],M<sub>N<sub>i</sub></sub>). It is proved that two arbitrary unital homomorphisms from...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41013377
On transformations strongly preserving the zeros of matrix polynomialsGuterman, Alexander E (M. V. Lomonosov Moscow State University, Moscow (Russian Federation)); Kuzma, Bojan (Institute of Mathematics, Physics and Mechanics, Lyublyana (Slovenia))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41014382
A note on biorthogonality of the scaling functions with arbitrary matrix dilation factorSun Lei (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000 (China)); Zhang Xiaozhong (School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000 (China)),...</br>Biorthogonal wavelets can be constructed from the biorthogonal scaling functions. In this note, we consider a inverse proposition in high dimension wavelet with arbitrary matrix dilation factor and prove that if the wavelets are biorthogonal,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:45072700
Universality for a global property of the eigenvectors of Wigner matricesBao, Zhigang (Department of Mathematics, Zhejiang University (China)); Pan, Guangming (Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore 637371 (Singapore));...</br>Let M<sub>n</sub> be an n×n real (resp. complex) Wigner matrix and U<sub>n</sub>Λ<sub>n</sub>U<sub>n</sub><sup>*</sup> be its spectral decomposition. Set (y<sub>1</sub>,y<sub>2</sub>⋯,y<sub>n</sub>)<sup>T</sup>=U<sub>n</sub><sup>*</sup>x,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40073344
Balanced systems of primitive idempotents in matrix algebrasIvanov, D N (M.V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>The article develops the concept of balanced t-systems of idempotents in associative semisimple finite-dimensional algebras over the field of complex numbers C this was introduced by the author as a generalization of the concept of...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:46123697
Gonadotropin-releasing hormone type II (GnRH-II) agonist regulates the invasiveness of endometrial cancer cells through the GnRH-I receptor and mitogen-activated protein kinase (MAPK)-dependent activation of matrix metalloproteinase (MMP)-2Wu, Hsien-Ming; Wang, Hsin-Shih; Huang, Hong-Yuan; Lai, Chyong-Huey; Lee, Chyi-Long; Soong, Yung-Kuei (Department of Obstetrics and Gynecology, Chang Gung Memorial Hospital Linkou Medical Center, Chang Gung University School of Medicine,...</br>More than 25% of patients diagnosed with endometrial carcinoma have an invasive primary cancer accompanied by metastases. Gonadotropin-releasing hormone (GnRH) plays an important role in reproduction. In mammals, expression of GnRH-II...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:45071997
On boundary fusion and functional relations in the Baxterized affine Hecke algebraBabichenko, A. (Department of Mathematics, University of York, York YO10 5DD (United Kingdom)); Regelskis, V. (Department of Mathematics, University of Surrey, Guildford GU2 7XH (United Kingdom)), E-mail: babichen@weizmann.ac.il,...</br>We construct boundary type operators satisfying fused reflection equation for arbitrary representations of the Baxterized affine Hecke algebra. These operators are analogues of the fused reflection matrices in solvable half-line spin...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47117934
2-Local derivations on matrix algebras over semi-prime Banach algebras and on AW*-algebrasAyupov, Shavkat (Dormon yoli 29, Institute of Mathematics, National University of Uzbekistan, 100125 Tashkent (Uzbekistan)); Kudaybergenov, Karimbergen (Ch. Abdirov 1, Department of Mathematics, Karakalpak state university, Nukus...</br>The paper is devoted to 2-local derivations on matrix algebras over unital semi-prime Banach algebras. For a unital semi-prime Banach algebra A with the inner derivation property we prove that any 2-local derivation on the algebra...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49090423
Supereigenvalue models and topological recursionBouchard, Vincent (Department of Mathematical & Statistical Sciences,University of Alberta, 632 CAB, Edmonton, Alberta T6G 2G1 (Canada)); Osuga, Kento (Department of Physics,University of Alberta, 4-181 CCIS, Edmonton, Alberta, T6G...</br>Funding organisation: SCOAP3, CERN, Geneva (Switzerland)</br>We show that the Eynard-Orantin topological recursion, in conjunction with simple auxiliary equations, can be used to calculate all correlation functions of supereigenvalue models.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:49091327
Improving risk characterisations in practical situations by highlighting knowledge aspects, with applications to risk matricesAven, Terje, E-mail: terje.aven@uis.no</br>Highlights: • The paper presents a general framework for describing or characterising risk • The characterisations highlight knowledge aspects of risk, including potential surprises • Practical methods are reviewed and discussed,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50077318
The three-loop splitting functions Pqg(2) and Pgg(2,NF)Ablinger, J. (Research Institute for Symbolic Computation (RISC), Johannes Kepler University, Altenbergerstraße 69, A-4040, Linz (Austria)); Behring, A. (Deutsches Elektronen-Synchrotron, DESY, Platanenallee 6, D-15738 Zeuthen (Germany);...</br>We calculate the unpolarized twist-2 three-loop splitting functions <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup is="true"><mrow is="true"><mi is="true">P</mi></mrow><mrow is="true"><mi is="true">q</mi><mi...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50074180
Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable modelsHutsalyuk, A. (Moscow Institute of Physics and Technology, Dolgoprudny, Moscow reg. (Russian Federation)); Liashyk, A. (Bogoliubov Institute for Theoretical Physics, NAS of Ukraine, Kiev (Ukraine); National Research University Higher...</br>We study integrable models solvable by the nested algebraic Bethe ansatz and described by <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow is="true"><mi mathvariant="fraktur" is="true">gl</mi></mrow><mo stretchy="false"...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:44095801
Open set condition and post-critically finite self-similar setsDeng Qirong (Department of Mathematics, Fujian Normal University, Fuzhou, 350007 (China)); Lau, Ka-Sing (Department of Mathematics, The Chinese University of Hong Kong, Hong Kong (Hong Kong)), E-mail: dengfractal@126.com, E-mail:...</br>We prove that for a contractive self-similar iterated function systems, if the matrices are commensurable, then the post-critically finite property implies the open set condition
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40076233
Tests for the similarity of all minimal passive realizations of a fixed transfer function (scattering or resistance matrix)Arov, D Z; Nudel'man, Mark A (South Ukrainian State K.D.Ushynsky Pedagogical University, Odessa (Ukraine))</br>Necessary and sufficient conditions for the transfer function of a passive linear stationary scattering (or resistance) system are found ensuring that minimal systems in this class are determined by their transfer functions up to...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39048261
Construction and properties of orthogonal matrix-valued wavelets and wavelet packetsChen Qingjiang (School of Science, Xi'an University of Architecture and Technology, P.O. 14, Xi'an 710055 (China) and Faculty of Science, Xi'an Jiaotong University, Xi'an 710049 (China)); Shi Zhi (School of Science, Xi'an University...</br>In this paper, we introduce matrix-valued multiresolution analysis and orthogonal matrix-valued wavelets with arbitrary integer dilation factor m. A necessary and sufficient condition on the existence of orthogonal matrix-valued wavelets...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:13657689
Methods of finite element in hydrogeologySukardi (Bandung Inst. of Tech. (Indonesia). Physics Dept.)</br>Element structures have relationship with the element structure in finite difference. Aquifer analysis is differentiated by Galerkin method. (author tr.)
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50037599
Minimal representations of Lie algebras with non-trivial Levi decompositionGhanam, Ryad (Virginia Commonwealth University in Qatar, Department of Mathematics (Qatar)); Lamichhane, Manoj (Western Kentucky University, Department of Mathematics (United States)); Thompson, Gerard (University of Toledo, Department...</br>We obtain minimal dimension matrix representations for each of the Lie algebras of dimensions five, six, seven and eight obtained by Turkowski that have a non-trivial Levi decomposition. The key technique involves using the invariant...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:8325757
Riemann matrices with many polarizationsMartens, H.H. (Institutt for Matematikk, Norges Teknisk-Hoegskole, Trondheim)</br>Riemann matrices occur naturally as period matrices of closed Riemann surfaces and of multiply periodic meromorphic functions. In this expository paper some of the basic properties of such matrices are reviewed in order to point out...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:45071896
On boundary fusion and functional relations in the Baxterized affine Hecke algebraBabichenko, A. (Department of Mathematics, University of York, York YO10 5DD (United Kingdom)); Regelskis, V. (Department of Mathematics, University of Surrey, Guildford GU2 7XH (United Kingdom)), E-mail: babichen@weizmann.ac.il,...</br>We construct boundary type operators satisfying fused reflection equation for arbitrary representations of the Baxterized affine Hecke algebra. These operators are analogues of the fused reflection matrices in solvable half-line spin...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39081574
Rotationally Invariant Rank 1 Convex FunctionsSilhavy, M. (Mathematical Institute of the AV CR, Zitna 25, 115 67 Prague 1 (Czech Republic)), E-mail: silhavy@math.cas.cz</br>Let f be a function on the set M<sup>n</sup>xn of all n by n real matrices. If f is rotationally invariant with respect to the proper orthogonal group, it has a representation f-tilde through the signed singular values of the matrix...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41013733
Rationality of generating functions of cycle rook polynomials and cycle permanents of Kronecker products of Toeplitz matrices and circulants with the matrix J<sub>k</sub>, and their computationKamenetskii, A M</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47067975
Soliton fay identities: II. Bright soliton caseVekslerchik, V E (Usikov Institute for Radiophysics and Electronics 12, Proskura st., Kharkov, 61085 (Ukraine)), E-mail: vekslerchik@yahoo.com</br>We present a set of bilinear matrix identities that generalize the ones that have been used to construct the bright soliton solutions for various models. As an example of an application of these identities, we present a simple derivation...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:43122084
On self-complementarity relations of neutrino mixingZhang Xinyi (School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871 (China)); Ma Boqiang (School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking...</br>With the latest results of a large mixing angle θ<sub>13</sub> for neutrinos by the T2K, MINOS and Double Chooz experiments, we find that the self-complementarity (SC) relations agree with the data in some angle-phase parametrizations...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:40073221
On the groups proposed by Sidel'nikovKazarin, L S (Yaroslavl State Technical University, Yaroslavl (Russian Federation))</br>This is a study of the matrix groups discovered by V. M. Sidel'nikov, which are close to the symplectic and the orthogonal groups. Results are obtained about the structure of the Sidel'nikov groups. They can be useful for constructing...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:12589530
Computation of eigenvalues and eigenvectors of real matricesKarsono.</br>Gama Research Centre, Jogyakarta (Indonesia)</br>Some computational methods for the evaluation of eigenvalues and eigenvectors of (square) real matrices are briefly described. The methods of Jacobi, Given and Householder are used for real-symmetric matrices while Lanczos's method,...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41016443
Geometry of operator cross ratioZelikin, M I (M.V. Lomonosov Moscow State University, Moscow (Russian Federation))</br>The operator cross ratio, which is meaningful, in particular, for the infinite-dimensional Sato Grassmannian is defined and investigated. Its homological interpretation is presented. A matrix and operator analogue of the Schwartzian...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38072882
On level spacing distributions for 2D non-normal Gaussian random matricesGrossmann, Siegfried (Fachbereich Physik der Philipps-Universitaet, Renthof 6, D-35032 Marburg (Germany)); Robnik, Marko (CAMTP-Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, SI-2000 Maribor...</br>The level spacing distribution of general, non-normal, Gaussian random 2D matrices is derived. In particular, tridiagonal matrices have no level repulsion and show a halfsided Gaussian distribution. General non-normal matrices show...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:4044776
Foundations of S-matrix theory. I. Theory and measurementStapp, H.P.</br>California Univ., Berkeley. Lawrence Berkeley Lab</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:52037908
Entanglement-assisted quantum codes from matrix-product codesLiu, Xiusheng; Liu, Hualu; Yu, Long (Hubei Polytechnic University, School of Mathematics and Physics (China)), E-mail: lxs6682@163.com, E-mail: hwlulu@aliyun.com, E-mail: longyuhbpu@163.com</br>Entanglement-assisted quantum codes are studied from classical matrix-product codes point of view. Four methods to construct Entanglement-assisted quantum codes from matrix-product codes are provided. These constructions are applied...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:3025146
Resonant states and poles of the scattering matrix for perturbation of -ΔShenk, N.; Thoe, D.</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:21029098
A rapid algorithm for calculating the Dirac matrix tracesIl'in, V.A.; Kryukov, A.P.; Rodionov, A.Ya.; Taranov, A.Yu.</br>A rapid algorithm for calculating γ-matrix traces in frames of analytical calculation system REDUCE is described. Algorithms consist in sequential application of Firtz identities. As a result from a graph representing initial trace...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47067956
Exact evaluations of some Meijer G-functions and probability of all eigenvalues real for the product of two Gaussian matricesKumar, Santosh (Department of Physics, Shiv Nadar University, Gautam Buddha Nagar, Uttar Pradesh-201314 (India)), E-mail: skumar.physics@gmail.com</br>We provide a proof to a recent conjecture by Forrester (2014 J. Phys. A: Math. Theor. 47 065202) regarding the algebraic and arithmetic structure of Meijer G-functions which appear in the expression for probability of all eigenvalues...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39005767
Construction of a class of compactly supported orthogonal vector-valued waveletsSun Lei (School of Sciences, Xi'an Jiaotong University, Xi'an, 710049 (China)); Cheng Zhengxing (School of Sciences, Xi'an Jiaotong University, Xi'an, 710049 (China)), E-mail: sunlei97@163.com</br>In this paper, first we introduce vector-valued multiresolution analysis with dilation factor α ≥ 2 and orthogonal vector-valued wavelet. A necessary and sufficient condition on the existence of orthogonal vector-valued wavelet is...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:45072103
Aspects of the inverse problem for the Toda chainKozlowski, K. K. (Institut de Mathématiques de Bourgogne, Université de Bourgogne, UMR 5584 du CNRS, Dijon (France)), E-mail: karol.kozlowski@u-bourgogne.fr</br>We generalize Babelon's approach to equations in dual variables so as to be able to treat new types of operators which we build out of the sub-constituents of the model's monodromy matrix. Further, we also apply Sklyanin's recent...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41020525
Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: An LMI approachXing Shengyan (Department of Automation, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai 200240 (China)); Lu Junguo (Department of Automation, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai 200240 (China)),...</br>This paper investigates the stability and stabilization problem of fractional-order linear systems with nonlinear uncertain parameters, which allow second-order uncertain parameters. The uncertainty in the fractional-order model appears...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41008804
On the splitting trick and wavelets packets with arbitrary dilation matrix of L<sup>2</sup>(R<sup>s</sup>)Han Jincang (Faculty of Science, Xi'an Jiaotong University, Xi'an 710049 (China) and Information Engineering School, Lanzhou Commercial College, Lanzhou 730020 (China)); Cheng Zhengxing (Faculty of Science, Xi'an Jiaotong University,...</br>Wavelet packets possess excellent characteristics in differentiations of space and spectrum. In this paper, The splitting trick coined by Daubechies is used to construct wavelet packets with an arbitrary dilation matrix A. Different...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41009003
The generalized Pell (p, i)-numbers and their Binet formulas, combinatorial representations, sumsKilic, Emrah (TOBB University of Economics and Technology, Mathematics Department, 06560 Sogutozu, Ankara (Turkey)), E-mail: ekilic@etu.edu.tr</br>The theory of generalized Pell p-numbers was introduced by Stakhov and then have been studied by several authors. In this paper, we consider the usual Pell numbers and as similar to the Fibonacci p-numbers, we give fair generalization...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41013219
The Volterra system and the topology of the isospectral variety of zero-diagonal Jacobi matricesPenskoi, A V (N.E. Bauman Moscow State Technical University, Moscow (Russian Federation))</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:21088364
Matrix pseudo-valuations on rings and their associated skew fieldsMahdavi-Hezavehi, M.</br>International Centre for Theoretical Physics, Trieste (Italy)</br>Matrix pseudo-valuations on rings are investigated. It is proved that on a field K, each matrix pseudo-valuation is uniquely determined by its restriction to K. It is also shown how matrix valuations may be obtained from matrix pseudo-valuations...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:15042311
Method of inversion of a special class of block matricesOdintsov, V.G.</br>Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Nuclear Problems</br>The method and effective algorithms of inversion of block quasidiagonal outline symmetric matrices are presented. The theorem about the existense of matrices opposite to the mentioned is proved and their concrete representation is...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39016637
Some relations between rank, chromatic number and energy of graphsAkbari, S. (Institute for Studies in Theoretical Physics and Mathematics, Tehran (Iran, Islamic Republic of) and Department of Mathematical Sciences, Sharif University of Technology, Tehran (Iran, Islamic Republic of) and Abdus Salam...</br>Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)</br>The energy of a graph G is defined as the sum of the absolute values of all eigenvalues of G and denoted by E(G). Let G be a graph and rank(G) be the rank of the adjacency matrix of G. In this paper we characterize all the graphs...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:51123607
Brute force (or not so brute) digital simulation in electrochemistry revisitedMartínez-Ortiz, Francisco (Departamento de Química Física, Facultad de Química, Regional Campus of International Excellence “Campus Mare Nostrum”, Universidad de Murcia, 30100 Murcia (Spain)); Zoroa, Noemí (Departamento de Estadística...</br>Highlights: • Very high-order spatial discretisations in electrochemical simulations are tested. • Asymmetric 4-to7-point approximations enable to use grids with less than 15 points. • Brute force resolution of the resulting problem...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:52022912
Spin generalization of the Calogero–Moser hierarchy and the matrix KP hierarchyPashkov, V (Skolkovo Institute of Science and Technology, 143026 Moscow (Russian Federation)); Zabrodin, A (National Research University Higher School of Economics, 20 Myasnitskaya Ulitsa, Moscow 101000 (Russian Federation)), E-mail:...</br>We establish a correspondence between rational solutions to the matrix KP hierarchy and the spin generalization of the Calogero–Moser system on the level of hierarchies. Namely, it is shown that the rational solutions to the matrix...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:24057587
Generation of covariance data among values from a single set of experimentsSmith, D.L. (Argonne National Lab., IL (United States). Physics Div.)</br>Modern nuclear data evaluation methods demand detailed uncertainty information for all input results to be considered. It can be shown from basic statistical principles that provision of a covariance matrix for a set of data provides...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39083424
A Matrix Model Description of a Null SingularityRobbins, D. (Department of Physics, University of Texas, Austin, TX 78712 (United States); Enrico Fermi Institute, University of Chicago, Chicago, IL 60637 (United States))</br>We briefly sketch the motivations and results of (hep-th/0509204) and (hep-th/0603104)
http://inis.iaea.org/Search/search.aspx?orig_q=RN:38069102
A new Q-matrix in the eight-vertex modelFabricius, Klaus (Physics Department, University of Wuppertal, 42097 Wuppertal (Germany))</br>We construct a Q-matrix for the eight-vertex model at roots of unity for crossing parameter η = 2mK/L with odd L, a case for which the existing constructions do not work. The new Q-matrix Q-hat depends on the spectral parameter v...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:41011304
An analogue of Wagner's theorem for decompositions of matrix algebrasIvanov, D N (Tver' State University, Tver' (Russian Federation))</br>Wagner's celebrated theorem states that a finite affine plane whose collineation group is transitive on lines is a translation plane. The notion of an orthogonal decomposition (OD) of a classically semisimple associative algebra introduced...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:39115293
Deformations of quadratic Diophantine systemsZhuravlev, V G (Vladimir State Pedagogical University, Vladimir (Russian Federation))</br>We consider specializations of quadratic matrix equations preserving the invariant type of the equation and the weight formula for representations of the quadratic form by a genus of positive definite forms. We apply our results to...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:4059181
Analysis and control of multiregion reactors via Kronecker products of matricesSuda, N.</br>No abstract available.
http://inis.iaea.org/Search/search.aspx?orig_q=RN:47040228
Double seesaw mechanism and lepton mixingGrimus, W. (Faculty of Physics, University of Vienna,Boltzmanngasse 5, A-1090 Wien (Austria)); Lavoura, L. (Instituto Superior Técnico, CFTP, Universidade de Lisboa,1049-001 Lisboa (Portugal))</br>Funding organisation: SCOAP3, CERN, Geneva (Switzerland)</br>We present a general framework for models in which the lepton mixing matrix is the product of the maximal mixing matrix U_ω times a matrix constrained by a well-defined ℤ_2 symmetry. Our framework relies on neither supersymmetry nor...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:45060034
Consensus of second-order multi-agent dynamic systems with quantized dataGuan, Zhi-Hong (Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074 (China)); Meng, Cheng (Department of Control Science and Engineering, Huazhong University of Science and Technology,...</br>The consensus problem of second-order multi-agent systems with quantized link is investigated in this Letter. Some conditions are derived for the quantized consensus of the second-order multi-agent systems by the stability theory....
http://inis.iaea.org/Search/search.aspx?orig_q=RN:42005680
Quantifying entanglement with covariance matricesGittsovich, Oleg (Institut fuer Quantenoptik und Quanteninformation, Oesterreichische Akademie der Wissenschaften, Otto-Hittmair-Platz 1, A-6020 Innsbruck (Austria)); Guehne, Otfried (Institut fuer Quantenoptik und Quanteninformation,...</br>Covariance matrices are a useful tool for investigating correlations and entanglement in quantum systems. They are widely used in continuous-variable systems, but recently also for finite-dimensional systems powerful entanglement...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50018198
Maximal and Minimal Triangular MatricesSłowik, Roksana (Silesian University of Technology, Institute of Mathematics (Poland)), E-mail: roksana.slowik@gmail.com</br>We call a nonscalar matrix maximal (or minimal) if its centralizer is maximal (respectively minimal) in the poset of all centralizers of matrices. We discuss the form of maximal and minimal matrices in the algebra of upper triangular...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:50017062
Homomorphisms of Lie GroupsGolubchik, I. Z. (M. Akmullah Bashkir State Pedagogical University (Russian Federation)); Murseeva, A. I. (Ufa Polytechnical College (Russian Federation)), E-mail: mgolubchik@mail.ru, E-mail: mAlsou@mail.ru</br>In this paper, the authors describe homomorphisms of Lie groups into the groups <i>u</i>(<i>R</i>) of invertible elements of rings <i>R</i> for a large class of rings <i>R</i>, which contains, in particular, subrings of matrix rings...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:17042276
Left-right symmetric model with ultralight Dirac neutrinosOliensis, J.; Albright, C.H.</br>Argonne National Lab., IL (USA); Northern Illinois Univ., Dekalb (USA); Fermi National Accelerator Lab., Batavia, IL (USA)</br>A low energy, left-right symmetri gauge model incorporating mirror fermions and a discrete symmetry yields a skewed Dirac neutrino mass matrix. Some of the Dirac neutrinos can be made ultralight, since a ratio of Higgs vacuum expectation...
http://inis.iaea.org/Search/search.aspx?orig_q=RN:27003032
Generalized Pauli operatorsSchmeing, N.C. (Atomic Energy of Canada Ltd., Chalk River, ON (Canada). Chalk River Nuclear Labs.)</br>Atomic Energy of Canada Ltd., Chalk River, ON (Canada). Chalk River Nuclear Labs</br>A new description of the Lie algebras A<sub>n</sub> generalizes the Pauli matrix representation of A<sub>1</sub>. Properties analogous to the Lie algebraic and group properties of the Pauli matrices are retained by matrices representing...