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Biorthogonality and its Applications to Numerical Analysis de Claude Brezinski

Biorthogonality and its Applications to Numerical Analysis: Chapman & Hall/CRC Pure and Applied Mathematics

Autor Claude Brezinski
en Limba Engleză Hardback – 27 noi 1991
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.
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Specificații

ISBN-13: 9780824786168
ISBN-10: 0824786165
Pagini: 184
Dimensiuni: 156 x 234 x 17 mm
Greutate: 0.45 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Chapman & Hall/CRC Pure and Applied Mathematics

Locul publicării:Boca Raton, United States

Public țintă

Professional

Cuprins

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

Descriere

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.