Matrix computations / Gene H. Golub, Charles F. Van Loan
Type de document : MonographieCollection : Johns Hopkins studies in the mathematical sciencesLangue : anglais.Pays: Etats Unis.Mention d'édition: 3rd editionÉditeur : Baltimore, MA : John Hopkins University Press, 1996Description : 1 vol. (XXVII-694 p.) : ill. ; 24 cmISBN: 9780801854149.Bibliographie : Bibliogr. p. 637-686. Index.Sujet MSC : 65Fxx, Numerical analysis - Numerical linear algebra65Y05, Numerical analysis, Parallel numerical computation
65-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
15A18, Basic linear algebra, Eigenvalues, singular values, and eigenvectors
15A60, Basic linear algebra, Norms of matrices, numerical range, applications of functional analysis to matrix theoryEn-ligne : Zentralblatt
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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. E. Anderson, Z. Bai and 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. (Zentralblatt)
Bibliogr. p. 637-686. Index
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