Golub, Gene H. 1932-2007.
Matrices, moments, and quadrature with applications / Gene H. Golub and G�erard Meurant. - 1 online resource (ix, 363 pages) : illustrations - Princeton series in applied mathematics . - Princeton series in applied mathematics. .
Includes bibliographical references (pages 335-359) and index.
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.
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.
9781400833887 1400833884 1282458019 9781282458017
9786612458019
245801 MIL 22573/cttvzfj JSTOR 9452341 IEEE
015402531 Uk
Matrices.
Numerical analysis.
Matrices.
Analyse num�erique.
MATHEMATICS--Matrices.
MATHEMATICS--Applied.
Matrices.
Numerical analysis.
Algorithmus
Bilinearform
Matrix
Numerisches Verfahren
Orthogonale Polynome
Matrix--(Math.)--Numerische Mathematik.
Numerische Mathematik--Matrix (Math.)
Electronic books.
QA188 / .G65 2010eb
512.9434
Matrices, moments, and quadrature with applications / Gene H. Golub and G�erard Meurant. - 1 online resource (ix, 363 pages) : illustrations - Princeton series in applied mathematics . - Princeton series in applied mathematics. .
Includes bibliographical references (pages 335-359) and index.
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.
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.
9781400833887 1400833884 1282458019 9781282458017
9786612458019
245801 MIL 22573/cttvzfj JSTOR 9452341 IEEE
015402531 Uk
Matrices.
Numerical analysis.
Matrices.
Analyse num�erique.
MATHEMATICS--Matrices.
MATHEMATICS--Applied.
Matrices.
Numerical analysis.
Algorithmus
Bilinearform
Matrix
Numerisches Verfahren
Orthogonale Polynome
Matrix--(Math.)--Numerische Mathematik.
Numerische Mathematik--Matrix (Math.)
Electronic books.
QA188 / .G65 2010eb
512.9434