Barker, V. A.; Blackford, L. S.; Dongarra, J.; Du Croz, J.; Hammarling, S.; Marinova, M.; Waśniewski, J.; Yalamov, P. LAPACK95 user’s guide. (English) Zbl 0992.65013 Software - Environments - Tools. 13. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xviii, 258 p. (2001). The book presents LAPACK95 that is a Fortran 95 interface to the Fortran 77 LAPACK library. It is extremely useful to scientists, engineers and programmers who develop Fortran 95 codes and need reliable numerical software for linear algebra. LAPACK95 user’s guide represents an excellent companion to the third edition of LAPACK user’s guide published by E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKeeny and D. Sorensen (1999; Zbl 0934.65030), to which the authors of this new volume frequently refer throughout the text.The material is organized in three parts and ten chapters: Part I – General information (1. Essentials, 2. Contents of LAPACK95, 3. Documentation design and program examples, 4. Performance and troubleshooting), Part II – Driver routines (5. Driver routines for linear systems, 6. Driver routines for least squares problems, 7. Driver routines for standard eigenvalue problem, 8. Driver routines for generalized eigenvalue problems, 9. Driver routines for singular value problems) and Part III – Computational routines (10. Computational routines).The book also includes a list of relevant bibliographic references, a comprehensive index by keywords and an index by routine names. Reviewer: Octavian Pastravanu (Iaşi) Cited in 14 Documents MSC: 65Fxx Numerical linear algebra 65Y15 Packaged methods for numerical algorithms 65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis 15-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra 15-04 Software, source code, etc. for problems pertaining to linear algebra 68-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to computer science 68N20 Theory of compilers and interpreters Keywords:bisection; inverse iteration; LAPACK software; library of Fortran 77 subroutines; singular value decomposition; divide-and-conquer; least squares problems; symmetric eigenproblem; nonsymmetric eigenproblem; error bounds; Sylvester equation Citations:Zbl 0934.65030 Software:LAPACK; LAPACK95 PDFBibTeX XMLCite \textit{V. A. Barker} et al., LAPACK95 user's guide. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics (2001; Zbl 0992.65013) Full Text: DOI