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Applied Numerical Linear Algebra

- J. Demmel
- Computer Science, Mathematics
- 1 September 1997

Preface 1. Introduction 2. Linear equation solving 3. Linear least squares problems 4. Nonsymmetric Eigenvalue problems 5. The symmetric Eigenproblem and singular value decomposition 6. Iterative… Expand

LAPACK Users' Guide, 3rd ed.

- E. Anderson, Z. Bai, +8 authors Danny C. Sorensen
- Computer Science
- 1999

- 922
- 127

An updated set of basic linear algebra subprograms (BLAS)

- S. Blackford, J. Demmel, +10 authors C. Whaley
- Mathematics
- TOMS
- 1 June 2002

L. SUSAN BLACKFORD Myricom, Inc. JAMES DEMMEL University of California, Berkeley JACK DONGARRA The University of Tennessee IAIN DUFF Rutherford Appleton Laboratory and CERFACS SVEN HAMMARLING… Expand

A Supernodal Approach to Sparse Partial Pivoting

- J. Demmel, S. C. Eisenstat, J. Gilbert, X. Li, J. Liu
- Mathematics, Computer Science
- SIAM J. Matrix Anal. Appl.
- 1 May 1999

We investigate several ways to improve the performance of sparse LU factorization with partial pivoting, as used to solve unsymmetric linear systems. We introduce the notion of unsymmetric supernodes… Expand

Benchmarking GPUs to tune dense linear algebra

We present performance results for dense linear algebra using recent NVIDIA GPUs. Our matrix-matrix multiply routine (GEMM) runs up to 60% faster than the vendor's implementation and approaches the… Expand

IEEE Standard for Floating-Point Arithmetic

- D. Zuras, M. Cowlishaw, +89 authors P. Zimmermann
- Computer Science
- 2008

Accurate Singular Values of Bidiagonal Matrices

Computing the singular values of a bidiagonal matrix is the final phase of the standard algorithm for the singular value decomposition of a general matrix. A new algorithm that computes all the sin...

LAPACK Users' Guide, Third Edition

- Ed Anderson, Z. Bai, +8 authors D. Sorensen
- Computer Science
- Software, Environments and Tools
- 1999

Preface 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… Expand

SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems

We present the main algorithmic features in the software package SuperLU_DIST, a distributed-memory sparse direct solver for large sets of linear equations. We give in detail our parallelization… Expand