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Functions of Matrices

Functions of Matrices Theory and Computation

Hardback (30 Mar 2008)

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Publisher's Synopsis

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the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms.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.

Book information

ISBN: 9780898716467
Publisher: SIAM - Society for Industrial and Applied Mathematics
Imprint: Society for Industrial and Applied Mathematics
Pub date:
DEWEY: 512.9434
DEWEY edition: 22
Language: English
Number of pages: 425
Weight: 93g
Height: 263mm
Width: 188mm
Spine width: 27mm