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Cococubed.com


Unusual Linear Equation Solver

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Contact: F.X.Timmes
my one page vitae,
full vitae,
research statement, and
teaching statement.

The code gift.f is a program that generates Fortran subroutines for solving a system of linear equations by Gaussian elimination. It is presently setup for a 10x10 tridiagonal matrix. The code check.f shows you how to use the generated subroutines.

Gift-generated routines skip all calculations with matrix elements that are zero; in this sense gift-generated routines are sparse, but the storage of a full matrix is still required. Diagonal dominance is assumed, so no row or column interchanges are performed. The routine writes out the sequence of Gaussian elimination and backsubstitution steps without any do loop constructions over the matrix elements. Thus, gift generated subroutines can be quite large. However, for small matrices the execution speed of the generated subroutines on nuclear reaction networks is faster than any of the dense or sparse packages that I've tested. This version of gift.f is optimized for single processor performance.

 



Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. Offer co-authorship as appropriate.