Golub, Gene H.; Van Loan, Charles F. Matrix computations. 2nd ed. (English) Zbl 0733.65016 Johns Hopkins Series in the Mathematical Sciences, 3. Baltimore etc.: The Johns Hopkins University Press. xix, 642 p. $ 68.50/hbk; $ 34.50/pbk (1989). This is a considerable update and expansion of a text (first edition 1983; Zbl 0559.65011) that has already become a standard reference in the linear algebra community. Two new chapters, on matrix multiplication and parallel matrix computation, give an introduction to this very technical and still fluid subject area. Very detailed algorithms given in a notation very close to MATLAB are given for most of the methods studied. Each chapter contains current and relevant references to the original works, making this an excellent handbook for the researcher and practitioner. Reviewer: A.Ruhe (Göteborg) Cited in 11 ReviewsCited in 1417 Documents MSC: 65Fxx Numerical linear algebra 65Y05 Parallel numerical computation 65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis 15A18 Eigenvalues, singular values, and eigenvectors 15A60 Norms of matrices, numerical range, applications 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 Citations:Zbl 0592.65011; Zbl 0559.65011 Software:Matlab PDF BibTeX XML OpenURL Online Encyclopedia of Integer Sequences: Number of normal n X n matrices with entries {0,1}. Integer part of the greatest eigenvalues of the matrix n X n whose elements are the Fibonacci numbers F(n) (A000045) such that n X n = ((F(0),F(1),...,F(n-1)),(F(n),F(n+1),...,F(2n-1)),...,(F(n(n-1)),F(n(n-1)+1),...,F(n^2-1))), for n=1,2,... Greatest eigenvalues of the form x + y*sqrt(z) of the Fibonacci matrix of the form n X n = [[F(0),F(1),...,F(n-1)],[F(n),F(n+1),...,F(2n-1)],...,[(F(n(n-1)),F(n(n-1)+1),...,F(n^2-1)]] represented by the triples of integers (x, y, z).