Biorthogonality and its Applications to Numerical Analysis

Claude Brezinski (Autor)

Buch | Hardcover

184 Seiten

1991
Crc Press Inc (Verlag)
978-0-8247-8616-8 (ISBN)

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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.

Claude Brezinski

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

Erscheint lt. Verlag	27.11.1991
Reihe/Serie	Chapman & Hall/CRC Pure and Applied Mathematics
Verlagsort	Bosa Roca
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-8247-8616-5 / 0824786165
ISBN-13	978-0-8247-8616-8 / 9780824786168
Zustand	Neuware