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Linear algebraic equation polyalgorithm for the CDC 6600 and 7600. A user's guide for LEQSOL(). [For solving systems of equations]

Technical Report ·
DOI:https://doi.org/10.2172/7293949· OSTI ID:7293949
A guide for persons who must compute numerical solutions of linear algebraic systems of equations is presented. Subprogram usage instructions are presented. Five often-occurring FORTRAN program examples arising from linear algebraic equations are listed. These are the following: solving Ax = b, computing matrix products A/sup -1/D or EA/sup -1/, iterative refinement, and determinant evaluation. A final example illustrates an analysis of a poorly conditioned problem. Some discussion of how to deal with constraint requirements on the solution should this occur is also presented. The subprogram for solving the systems is LEQSOL( ). The code has additional features beyond those of its Sandia Math Library counterpart SAXB( ). One feature is to provide an estimate of the accuracy of the computed solution. The subprogram LEQSOL( ) is considerably more efficient than SAXB( ) for large values of N. 3 figures, 1 table.
Research Organization:
Sandia Labs., Albuquerque, N.Mex. (USA)
DOE Contract Number:
EY-76-C-04-0789
OSTI ID:
7293949
Report Number(s):
SAND-77-0871
Country of Publication:
United States
Language:
English