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About this product
- DescriptionThe only book devoted exclusively to matrix functions, this research mograph 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 canical form, polymial 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Matrices more than just a mograph on matrix functions; its wide-ranging content-including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection-makes it useful as a general reference in numerical linear algebra.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on the Schur decomposition, the block Parlett recurrence, and judicious use of Pade approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB(R) toolbox providing implementations of the key algorithms.
- Author BiographyNicholas J. Higham, FRS, is Richardson Professor of Applied Mathematics at the University of Manchester,UK.
- Author(s)Nicholas J. Higham
- PublisherSociety for Industrial & Applied Mathematics,U.S.
- Date of Publication30/03/2008
- Place of PublicationNew York
- Country of PublicationUnited States
- ImprintSociety for Industrial & Applied Mathematics,U.S.
- Content NoteIllustrations
- Weight930 g
- Width152 mm
- Height229 mm
- Spine23 mm
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