Design of MA48: a code for the direct solution of sparse unsymmetric linear systems of equations

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Rutherford Appleton Lab, Oxon, United Kingdom [1 ]
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ACM Trans Math Software | / 2卷 / 187-226期
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Algorithms - Codes (symbols) - Computational methods - FORTRAN (programming language) - Iterative methods - Linear algebra - Matrix algebra - Parallel processing systems - Problem solving - User interfaces;
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We describe the design of a new code for the direct solution of sparse unsymmetric linear systems of equations. The new code utilizes a novel restructuring of the symbolic and numerical phases, which increases speed and saves storage without sacrifice of numerical stability. Other features include switching to full-matrix processing in all phases of the computation enabling the use of all three levels of BLAS, treatment of rectangular or rank-deficient matrices, partial factorization, and integrated facilities for iterative refinement and error estimation.
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