Document Type
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BL
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Record Number
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998116
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Doc. No
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b752486
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Main Entry
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Higham, Nicholas J.,1961-
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Title & Author
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Functions of matrices : : theory and computation /\ Nicholas J. Higham.
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Publication Statement
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Philadelphia :: Society for Industrial and Applied Mathematics,, ©2008.
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Page. NO
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xx, 425 pages :: illustrations ;; 26 cm
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ISBN
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0898716462
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: 9780898716467
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Bibliographies/Indexes
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Includes bibliographical references (pages 379-413) and index.
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Contents
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Theory of matrix function -- Applications -- Conditioning -- Techniques for general functions -- Matrix sign function -- Matrix square root -- Matrix pth root -- The polar decomposition -- Schur-Parlett algorithm -- Matrix exponential -- Matrix logarithm -- Matrix cosine and sine -- Function of matrix times vector: f (A)b -- Miscellany.
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Abstract
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"Functions of Matrices: Theory and Computation gives a thorough treatment of the theory of matrix functions and numerical methods for computing them, as well as an overview of applications. The book is useful for advanced courses and is well-suited to self-study. The broad content - including f(A)-related facts, tricks, and techniques, historical references, and an appendix of background results - makes it convenient as a general reference in matrix analysis and numerical linear algebra."--Jacket.
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Subject
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Factorization (Mathematics)
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Subject
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Functions.
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Subject
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Matrices.
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Subject
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Factorization (Mathematics)
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Subject
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Factorization (Mathematics)-- Data processing.
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Subject
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Functions.
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Subject
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Matrices-- Data processing.
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Subject
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Matrices.
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Subject
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Matrices.
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Dewey Classification
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512.9/434
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LC Classification
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QA188.H53 2008
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NLM classification
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15-0165Fxxmsc
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