Matrices, moments, and quadrature with applications / Gene H. Golub and G�erard Meurant.
By: Golub, Gene H. (Gene Howard)
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Contributor(s): Meurant, G�erard A.
Material type: 
BookSeries: Princeton series in applied mathematics: Publisher: Princeton, N.J. ; Oxford : Princeton University Press, [2010]Copyright date: �2010Description: 1 online resource (ix, 363 pages) : illustrations.Content type: text Media type: computer Carrier type: online resourceISBN: 9781400833887; 1400833884; 1282458019; 9781282458017.Subject(s): Matrices | Numerical analysis | Matrices | Analyse num�erique | MATHEMATICS -- Matrices | MATHEMATICS -- Applied | Matrices | Numerical analysis | Algorithmus | Bilinearform | Matrix Mathematik | Numerisches Verfahren | Orthogonale Polynome | Matrix -- (Math.) -- Numerische Mathematik | Numerische Mathematik -- Matrix (Math.)Genre/Form: Electronic books.Additional physical formats: Print version:: Matrices, moments, and quadrature with applications.DDC classification: 512.9434 Other classification: SK 915 Online resources: Click here to access online Includes bibliographical references (pages 335-359) and index.
This computationally oriented work describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and the Lanczos and conjugate gradient algorithms.
Print version record.
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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