Package Name LAPACK
Author(s) Anderson E., Bai Z., Bischof C., Blackford S., Demmel J., Dongarra J., Du Croz J., Greenbaum A., Hammarling S., McKenney A., Sorensen D.
Version 3.0
Date June 30 1999, updated May 31 2000
Language Fortran 77, C++ wrappers available
Platform(s) any
References 4.2 for Hermitian Eigenvalue Problems
5.3 for Generalized Hermitian Eigenvalue Problems
6.2 for Singular Value Decomposition
7.3 for Non-Hermitian Eigenvalue Problems
8.2 for Generalized Non-Hermitian Eigenvalue Problems
Functionality LAPACK provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated matrix factorizations (LU, Cholesky, QR, SVD, Schur, generalized Schur) are also provided, as are related computations such as reordering of the Schur factorizations and estimating condition numbers. Dense and banded matrices are handled, but not general sparse matrices. In all areas, similar functionality is provided for real and complex matrices, in both single and double precision. LAPACK routines are written so that as much as possible of the computation is performed by calls to the Basic Linear Algebra Subprograms (BLAS). Highly efficient machine-specific implementations of the BLAS are available for many modern high-performance computers.

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