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Matrices, moments, and quadrature with applications

Author: Gene H Golub; Gérard A Meurant
Publisher: Princeton, N.J. ; Oxford : Princeton University Press, ©2010.
Series: Princeton series in applied mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Golub, Gene H. (Gene Howard), 1932-2007.
Matrices, moments, and quadrature with applications.
Princeton, N.J. ; Oxford : Princeton University Press, ©2010
(OCoLC)461270987
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Gene H Golub; Gérard A Meurant
ISBN: 9781400833887 1400833884 1282458019 9781282458017
OCLC Number: 697182001
Description: 1 online resource (ix, 363 pages) : illustrations.
Contents: Preliminaries; Contents; Preface; Chapter 1. Introduction; Chapter 2. Orthogonal Polynomials; Chapter 3. Properties of Tridiagonal Matrices; Chapter 4. The Lanczos and Conjugate Gradient Algorithms; Chapter 5. Computation of the Jacobi Matrices; Chapter 6. Gauss Quadrature; Chapter 7. Bounds for Bilinear Forms uT f(A)v; Chapter 8. Extensions to Nonsymmetric Matrices; Chapter 9. Solving Secular Equations; Chapter 10. Examples of Gauss Quadrature Rules; Chapter 11. Bounds and Estimates for Elements of Functions of Matrices.
Series Title: Princeton series in applied mathematics.
Responsibility: Gene H. Golub and Gérard Meurant.

Abstract:

Describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. This book provides the  Read more...

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