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Functions of matrices : theory and computation

Higham, Nicholas J, 1961 · Philadelphia : Society for Industrial and Applied Mathematics, 2008

Publisher
Philadelphia : Society for Industrial and Applied Mathematics, 2008
Physical description
425 pages
ISBN
0898716462 (pbk. : alk. paper);9780898716467 (pbk. : alk. paper)
Dewey classification
512.9434
Language
English

Summary

Summary: "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 The broad content - including f(A)-related facts, tricks, and techniques, historical references, and an appendix of background results - makes it convenient as a general reference in matrix analysis and numerical linear algebra."--BOOK JACKET

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Catalogue record

FieldValue
001Control number20134
003Control number identifierAuCNLKIN
005Date and time of latest transaction19 May 2008, 18:12
008Fixed-length data elements071207s2008 paua b 001 0 eng
010Library of Congress control number2007061811
020International Standard Book Number (ISBN)
  • 0898716462 (pbk. : alk. paper)
  • 9780898716467 (pbk. : alk. paper)
041Language codeeng
082Dewey Decimal call number512.9434 22
100Main entry – personal nameHigham, Nicholas J., 1961-
245Title statementFunctions of matrices : theory and computation / Nicholas J. Higham.
260Publication, distribution, etc. (imprint)Philadelphia : Society for Industrial and Applied Mathematics, 2008
300Physical descriptionxx, 425 p. : ill. ; 26 cm.
504Bibliography, etc. noteIncludes bibliographical references (p. 379-413) and index.
505Formatted contents noteContents: 1. Theory of Matrix Functions -- 2. Applications -- 3. Conditioning -- 4. Techniques for General Functions -- 5. Matrix Sign Function -- 6. Matrix Square Root -- 7. Matrix pth Root -- 8. The Polar Decomposition -- 9. Schur-Parlett Algorithm -- 10. Matrix Exponential -- 11. Matrix Logarithm -- 12. Matrix Cosine and Sine -- 13. Function of Matrix Times Vector: f(A)b -- 14. Miscellany -- A. Notation -- B. Background: Definitions and Useful Facts -- C. Operation Counts -- D. Matrix Function Toolbox -- E. Solutions to Problems.
520Summary, etc.Summary: "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."--BOOK JACKET.
650Subject added entry – topical term
  • Factorization (Mathematics)
  • Functions.
  • Matrices.
999CollectionDownloads