Title Matrices, moments, and quadrature with applications / Gene H. Golub and Gérard Meurant

Published Princeton, N.J. ; Oxford : Princeton University Press, [2010] ©2010

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Description 1 online resource (ix, 363 pages) : illustrations Series Princeton series in applied mathematics Princeton series in applied mathematics. 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 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 Bibliography Includes bibliographical references (pages 335-359) and index Notes Print version record Subject Matrices. Numerical analysis. MATHEMATICS -- Matrices. MATHEMATICS -- Applied. Matrices Numerical analysis Algorithmus Bilinearform Matrix Mathematik Numerisches Verfahren Orthogonale Polynome Matrix -- (Math.) -- Numerische Mathematik. Numerische Mathematik -- Matrix (Math.) Form Electronic book Author Meurant, Gérard A ISBN 9781400833887 1400833884 1282458019 9781282458017

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