Biorthogonality and its applications to numerical analysis
Author(s)
Bibliographic Information
Biorthogonality and its applications to numerical analysis
(Monographs and textbooks in pure and applied mathematics, 156)
M. Dekker, c1992
Available at / 54 libraries
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Kobe University General Library / Library for Intercultural Studies
410-8-P5//156S061000112172*
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC20:515/B7592070220746
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Note
Bibliography: p. 144-163
Includes index
Description and Table of Contents
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.
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 Pade-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 Pade-Type Approximation Appendix 3: Sylvester's and Schweins' Identities in a Vector Space References
by "Nielsen BookData"