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Zbl 0865.65009
Golub, Gene; Van Loan, Charles F.
Matrix computations. 3rd ed. (English)
[B] Baltimore, MD: The Johns Hopkins Univ. Press. xxvii, 694 p. \$ 36.00/pbk; \$ 78.00/hbk (1996). ISBN 0-8018-5414-8/pbk; ISBN 0-8018-5413-X

[For the first edition (1983) see Zbl 0559.65011; for the second edition (1989) see Zbl 0733.65016.]\par In this third edition, the authors have added to, as well as subtracted from, what there was in the previous edition, resulting in a slightly heavier (50 pages added) volume, which very well covers what is happening in this very active research area. Now, the emphasis on computations is stronger, each chapter is started with a list of the names of LAPACK routines [cf. {\it E. Anderson}, {\it Z. Bai} and {\it C. Bischof}, LAPACK users' guide (1992; Zbl 0755.65028)] to call for the respective algorithms described, and reference is also given to appropriate parts of the Matlab program system. Consideration is also given to implementation issues, such as the intricacies of floating point number systems, and cache and memory hierarchies. A systematic division into subsections makes the text eminently usable as a handbook, and there is a very thorough list of references to original works, as well as to textbooks suitable for a student that meets numerical matrix computations for the first time.
[A.Ruhe (Göteborg)]

MSC 2000:: *65Fxx Numerical linear algebra
65-01 Textbooks (numerical analysis)
65Y05 Parallel computation (numerical methods)
15A18 Eigenvalues of matrices, etc.
15A60 Appl. of functional analysis to matrix theory

Keywords: matrix computations; matrix algebra; Gaussian elimination; orthogonalization; least squares methods; eigenvalue problem; Lanczos methods; iterative methods; functions of matrices; matrix multiplication; parallel matrix computation; MATLAB; LAPACK routines

Citations: Zbl 0592.65011; Zbl 0559.65011; Zbl 0733.65016; Zbl 0755.65028

Cited in: Zbl pre06159604 Zbl 1239.01111 Zbl 1184.35126 Zbl 1118.65316 Zbl 1105.15009 Zbl 1086.65043 Zbl 1034.15005 Zbl 1071.65500 Zbl 0981.15004 Zbl 0888.15007

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