Biorthogonality and its Applications to Numerical Analysis

AvClaude Brezinski

Inbunden, Engelska, 1991

Del i serien Chapman & Hall/CRC Pure and Applied Mathematics

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Beskrivning

This book explores the use of the concept of biorthogonality and discusses the various recurrence relations for the generalizations of the method of moments, the method of Lanczos, and the biconjugate gradient method. It is helpful for researchers in numerical analysis and approximation theory.

Produktinformation

Utgivningsdatum:1991-11-27
Mått:156 x 234 x 15 mm
Vikt:453 g
Format:Inbunden
Språk:Engelska
Serie:Chapman & Hall/CRC Pure and Applied Mathematics
Antal sidor:184
Förlag:Taylor & Francis Inc
ISBN:9780824786168

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Innehållsförteckning

Introduction Preliminaries Biorthogonality and Applications Orthogonality for Polynomials Interpolation and Projection Kernel The Interpolation Operator The Method of Moments Lanczos' Method The Bi-conjugate Gradient Method Fredholm Equation and Padé-Type Approximants Adjacent Biorthogonal Families One-Step Forumlas Multistep Formulas Applications Sequence Transformations Linear Multistep Methods Approximation of Series Biorthogonal Polynomials Statistics and Least Squares Appendix 1: A Direct Proof of the Christoffel-Darboux Identity and a Consequence Appendix 2: Duality in Padé-Type Approximation Appendix 3: Sylvester's and Schweins' Identities in a Vector Space References