Published February 2004
| Version v1
Journal article
Approximation theory for matrices
Creators
Description
We review the theory of optimal polynomial and rational Chebyshev approximations, and Zolotarev's formula for the sign function over the range ε < vertical bar z vertical bar < 1. We explain how rational approximations can be applied to large sparse matrices efficiently by making use of partial fraction expansions and multi-shift Krylov space solvers
Additional details
Identifiers
- PII
- S0920563203024666;
Publishing Information
- Journal Title
- Nuclear Physics. B, Proceedings Supplements
- Journal Volume
- 128
- Journal Issue
- 3
- Journal Page Range
- p. 107-116
- ISSN
- 0920-5632
- CODEN
- NPBSE7
Conference
- Title
- 2. Cairns topical workshop on lattice hadron physics
- Dates
- 22-30 Jul 2003
- Place
- Cairns (Australia)
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35059917
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- CALCULATION METHODS; COMPUTERIZED SIMULATION; LATTICE FIELD THEORY; MATRICES; POLYNOMIALS; REVIEWS
- Descriptors DEC
- CONSTRUCTIVE FIELD THEORY; DOCUMENT TYPES; FIELD THEORIES; FUNCTIONS; QUANTUM FIELD THEORY; SIMULATION
Optional Information
- Copyright
- Copyright (c) 2004 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.