Biorthogonality and its Applications to Numerical Analysis

1st Edition

Claude Brezinski

CRC Press
Published November 27, 1991
Reference - 184 Pages
ISBN 9780824786168 - CAT# DK4509
Series: Chapman & Hall/CRC Pure and Applied Mathematics

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Table of Contents

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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