Golub, Gene H.  1932-2007. <br/><br/>
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. .
<br/><br/>Includes bibliographical references (pages 335-359) and index. 
<br/><br/>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. 
<br/><br/> This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms. 
<br/><br/><label>ISBN: </label>9781400833887 1400833884 1282458019 9781282458017 
<br/><br/><label>Standard No.: </label>9786612458019 
<br/><br/><label>Source: </label>245801  MIL 22573/cttvzfj  JSTOR 9452341  IEEE 
<br/><br/><label>Nat. Bib. Agency Control No.: </label>015402531  Uk 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Matrices.<br/>Numerical analysis.<br/>Matrices.<br/>Analyse num�erique.<br/>MATHEMATICS--Matrices.<br/>MATHEMATICS--Applied.<br/>Matrices.<br/>Numerical analysis.<br/>Algorithmus<br/>Bilinearform<br/>Matrix<br/>Numerisches Verfahren<br/>Orthogonale Polynome<br/>Matrix--(Math.)--Numerische Mathematik.<br/>Numerische Mathematik--Matrix (Math.)
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA188  / .G65 2010eb 
<br/><br/><label>Dewey Class. No.: </label>512.9434