Matrices, Moments and Quadrature with Applications /

Afficher d'autres versions (2)

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

Détails bibliographiques
Auteur principal: Golub, Gene H. (Gene Howard), 1932-2007
Autres auteurs: Meurant, Gerard A.
Format: Électronique eBook
Langue:Inglés
Publié: Oxford : Princeton University Press, [2010]
Collection:Book collections on Project MUSE.
Sujets:
Numerische Mathematik > Matrix (Math.)
Matrix > (Math.) > Numerische Mathematik.
Orthogonale Polynome
Numerisches Verfahren
Matrix > Mathematik
Bilinearform
Algorithmus
Numerical analysis.
Matrices.
MATHEMATICS > Applied.
MATHEMATICS > Matrices.
Analyse numerique.
Electronic books.
Accès en ligne:Texto completo
Table des matières:
  • 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.

Documents similaires