Matrices, moments, and quadrature with applications /

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This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Golub, Gene H. (Gene Howard), 1932-2007
Other Authors: Meurant, Gérard A.
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. ; Oxford : Princeton University Press, [2010]
Series:Princeton series in applied mathematics.
Subjects:
Matrices.
Numerical analysis.
Analyse numérique.
MATHEMATICS > Matrices.
MATHEMATICS > Applied.
Matrices
Numerical analysis
Algorithmus
Bilinearform
Matrix > Mathematik
Numerisches Verfahren
Orthogonale Polynome
Matrix > (Math.) > Numerische Mathematik.
Numerische Mathematik > Matrix (Math.)
Online Access:Texto completo
Table of 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.

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