Claude Brezinski

Biorthogonality and its Applications to Numerical Analysis (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 184
• Erscheinungstermin: 11. August 2020
• Englisch
• ISBN-13: 9781000104738
• Artikelnr.: 59895495

Autorenporträt

Claude Brezinski

Inhaltsangabe

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