Functions of Matrices: Theory and Computation (Other Titles in Applied Mathematics)

Nicholas J. Higham

ISBN 10: 0898716462 / ISBN 13: 9780898716467

Editore: Society for Industrial & Applied, 2008

Riguardo questo articolo

illustrated edition. 445 pages. 10.00x7.00x1.00 inches. In Stock. Codice articolo __0898716462

Dati bibliografici

Titolo: Functions of Matrices: Theory and ...

Casa editrice: Society for Industrial & Applied

Data di pubblicazione: 2008

Legatura: Hardcover

Condizione: Brand New

Descrizione articolo

Riassunto:

A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fréchet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.

Descrizione del libro:

A thorough treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference.