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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 The broad content - including f(A)-related facts, tricks, and techniques, historical references, and an appendix of background results - makes it convenient as a general reference in matrix analysis and numerical linear algebra."--BOOK JACKET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
| Field | Value |
|---|---|
| 001Control number | 20134 |
| 003Control number identifier | AuCNLKIN |
| 005Date and time of latest transaction | 19 May 2008, 18:12 |
| 008Fixed-length data elements | 071207s2008 paua b 001 0 eng |
| 010Library of Congress control number | 2007061811 |
| 020International Standard Book Number (ISBN) |
|
| 041Language code | eng |
| 082Dewey Decimal call number | 512.9434 22 |
| 100Main entry – personal name | Higham, Nicholas J., 1961- |
| 245Title statement | Functions of matrices : theory and computation / Nicholas J. Higham. |
| 260Publication, distribution, etc. (imprint) | Philadelphia : Society for Industrial and Applied Mathematics, 2008 |
| 300Physical description | xx, 425 p. : ill. ; 26 cm. |
| 504Bibliography, etc. note | Includes bibliographical references (p. 379-413) and index. |
| 505Formatted contents note | Contents: 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 |
|
| 999Collection | Downloads |
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