Jennings, Alan; McKeown, J. J. Matrix computation. 2nd ed. (English) Zbl 0808.65015 Chichester: Wiley. xvi, 427 p. (1992). [For the first edition (1977) see Zbl 0355.65018.]The second edition has been revised and expanded to incorporate new material. There are new chapters on nonlinear equations and on parallel and vector computing. As in the first edition, the style of the book is descriptive and many explanations are given in the form of examples. A large number of algorithms are described in FORTRAN.Contents: (1) Basic algebraic and numerical concepts; (2) Some matrix problems; (3) Computer implementation; (4) Elimination methods for linear equations; (5) Sparse matrix elimination; (6) Some matrix eigenvalue problems; (7) Transformation methods for eigenvalue problems; (8) Sturm sequence methods; (9) Vector iterative methods for partial eigensolutions; (10) Orthogonalization and re-solution techniques for linear equations; (11) Iterative methods for linear equations; (12) Nonlinear equations; (13) Parallel and vector computing. Cited in 25 Documents MSC: 65Fxx Numerical linear algebra 65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis 65H10 Numerical computation of solutions to systems of equations 65Y05 Parallel numerical computation Keywords:computer implementation; elimination methods; sparse matrix; vector iterative methods; orthogonalization; iterative methods; matrix computation; nonlinear equations; parallel and vector computing; algorithms; FORTRAN; eigenvalue; Sturm sequence methods Citations:Zbl 0355.65018 PDFBibTeX XMLCite \textit{A. Jennings} and \textit{J. J. McKeown}, Matrix computation. 2nd ed. Chichester: Wiley (1992; Zbl 0808.65015)