Published November 21, 2004
| Version v1
Journal article
A constructive formula for function of matrix. Alternative to the Lagrange-Sylvester formula
Creators
- 1. Joint Institute for Nuclear Research, Dubna, Moscow Region 141980 (Russian Federation)
Description
Instead of the elegant function (Lagrange-Sylvester formula) depending on badly-defined arguments (eigenvalues) we suggest a cumbersome function (hypergeometrical series) depending on well-defined arguments (matrix invariants). The function of matrix M at implies the sum of any formal finite or infinite power series of M at with arbitrary coefficients
Additional details
Identifiers
- DOI
- 10.1016/j.nima.2004.07.081;
- PII
- S0168-9002(04)01555-4;
Publishing Information
- Journal Title
- Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
- Journal Volume
- 534
- Journal Issue
- 1-2
- Journal Page Range
- p. 319-323
- ISSN
- 0168-9002
- CODEN
- NIMAER
Conference
- Title
- 9. international workshop on advanced computing and analysis techniques in physics research
- Dates
- 1-5 Dec 2003
- Place
- Tsukuba (Japan)
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37028920
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- EIGENVALUES; FUNCTIONS; INTERPOLATION; MATRICES; POWER SERIES
- Descriptors DEC
- MATHEMATICAL SOLUTIONS; NUMERICAL SOLUTION; SERIES EXPANSION
Optional Information
- Copyright
- Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.