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.

Detalles Bibliográficos
Autor principal: Golub, Gene H. (Gene Howard), 1932-2007
Otros Autores: Meurant, Gerard A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford : Princeton University Press, [2010]
Colección:Book collections on Project MUSE.
Temas:
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.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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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