*Mathematica*. For the latest information, see Matrices and Linear Algebra.

# Linear Algebra in *Mathematica*: References

## Software References

### ARPACK

ARPACK is a collection of Fortran77 subroutines designed to solve large-scale eigenvalue problems. http://www.caam.rice.edu/software/ARPACK

### ATLAS

The ATLAS (Automatically Tuned Linear Algebra Software) project provides C and Fortran77 interfaces to a portable efficient BLAS implementation, as well as a few routines from LAPACK. http://math-atlas.sourceforge.net

### Harwell-Boeing

The Harwell-Boeing matrix format is a popular storage and description format for sparse matrix data, described at http://math.nist.gov/MatrixMarket/formats.html. Many examples of matrices in this format can be found at http://math.nist.gov/MatrixMarket/index.html.

### Matrix Market

The Matrix Market matrix format provides a simple mechanism to facilitate the exchange of sparse and dense matrix data, described at http://math.nist.gov/MatrixMarket/formats.html. Many examples of matrices in this format can be found at http://math.nist.gov/MatrixMarket/index.html.

### METIS

METIS is a family of programs for partitioning unstructured graphs and hypergraphs and computing fill-reducing orderings of sparse matrices. http://www-users.cs.umn.edu/~karypis/metis/index.html

### TAUCS

TAUCS is a library of sparse linear solvers. http://www.tau.ac.il/~stoledo/taucs

### UMFPACK

UMFPACK is a set of routines for solving unsymmetric sparse linear systems, , using the Unsymmetric MultiFrontal method. http://www.cise.ufl.edu/research/sparse/umfpack

## Other References

[1] Weisstein, E. W. *MathWorld* 2007. http://mathworld.wolfram.com

[2] Anderson, E., Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen. *LAPACK Users' Guide*, 3rd ed. Society for Industrial and Applied Mathematics, 1999.

[3] Golub, G. H. and C. F. van Loan. *Matrix Computations*, 3rd ed. The Johns Hopkins University Press, 1996.

[4] Meyer, C. D. *Matrix Analysis and Applied Linear Algebra*, 1st ed. The Society for Industrial and Applied Mathematics, 2000.