LAPACK Users' Guide / Edition 3by E. Anderson, D. Sorensen, A. Greenbaum, A. McKenney
Pub. Date: 01/28/1999
LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors. Release 3.0 of LAPACK introduces new routines and extends the functionality of existing routines. The most significant new routines and functions include: 1. a faster singular value decomposition computed by divide-and-conquer 2. faster routines for solving rank-deficient least squares problems: Using QR with column pivoting using the SVD based on divide-and-conquer 3. new routines for the generalized symmetric eigenproblem: faster routines based on divide-and-conquer routines based on bisection/inverse iteration, for computing part of the spectrum 4. faster routine for the symmetric eigenproblem using "relatively robust eigenvector algorithm" 5. new simple and expert drivers for the generalized nonsymmetric eigenproblem, including error bounds 6. solver for generalized Sylvester equation, used in 5 7.computational routines used in 5 Each Users' Guide comes with a 'Quick Reference Guide' card.
Table of ContentsPreface to the third edition; Preface to the secondedition; Part 1. Guide. 1. Essentials; 2. Contents of LAPACK; 3. Performance of LAPACK; 4. Accuracy and Stability; 5. Documentation and Software Conventions; 6. Installing LAPACK Routines; 7. Troubleshooting; Appendix A. Index of Driver and Computational Routines; Appendix B. Index of Auxiliary Routines; Appendix C. Quick Reference Guide to the BLAS; Appendix D. Converting from LINPACK or EISPACK; Appendix E. LAPACK Working Notes; Part 2. Specifications of Routines. Bibliography; Index by Keyword; Index by Routine Name.
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