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LAPACK Users' Guide, Third Edition

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by E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen


1999 / xxii + 407 pages / Softcover / ISBN: 978-0-898714-47-0 / List Price $74.50 / SIAM Member Price $52.15 / Order Code SE09

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:

  • a faster singular value decomposition computed by divide-and-conquer
  • faster routines for solving rank-deficient least squares problems: Using QR with column pivoting using the SVD based on divide-and-conquer
  • 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
  • faster routine for the symmetric eigenproblem using "relatively robust eigenvector algorithm"
  • new simple and expert drivers for the generalized nonsymmetric eigenproblem, including error bounds
  • solver for generalized Sylvester equation, used in the above,
  • computational routines used in the above.

Each Users' Guide comes with a "Quick Reference Guide" card.

Preface to the Third Edition; Preface to the Second Edition; Part 1: Guide. Chapter 1: Essentials; Chapter 2: Contents of LAPACK; Chapter 3: Performance of LAPACK; Chapter 4: Accuracy and Stability; Chapter 5: Documentation and Software Conventions; Chapter 6: Installing LAPACK Routines; Chapter 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.

Royalties from the sale of this book are contributed to the SIAM Student Travel fund.

ISBN: 9780898714470

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