ENGLISH

Biorthogonality and its applications to numerical analysis

By Claude , Brezinski

Book information

Publisher
CRC Press
Year
2020
ISBN
9781003066811, 9781000104738, 1000104737, 9781000130300, 1000130304, 9781000147940, 1000147940, 100306681X
Language
english
Format
PDF
Filesize
5 MB (4784481 bytes)
Series
Monographs and textbooks in pure and applied mathematics 155
Pages
(184 pages) : illustrations\181
Time added
2020-10-11 07:46:37
Approximation theory;Biorthogonal systems;MATHEMAT

Description

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.;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

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