Functions of Matrices - Theory and Computation (Hardcover, New)

The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author's elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an emphasis on results of practical interest and an extensive collection of problems and solutions. Functions of Matrices more than just a monograph on matrix functions; its wide-ranging content-including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection-makes it useful as a general reference in numerical linear algebra. Other key features of the book include development of the theory of conditioning and properties of the Frechet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Pade approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB(R) toolbox providing implementations of the key algorithms.

General

Imprint:	Society For Industrial & Applied Mathematics,U.S.
Country of origin:	United States
Release date:	February 2010
First published:	September 2008
Authors:	Nicholas J. Higham
Dimensions:	258 x 182 x 23mm (L x W x T)
Format:	Hardcover
Pages:	425
Edition:	New
ISBN-13:	978-0-89871-646-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General
LSN:	0-89871-646-2
Barcode:	9780898716467

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