Preconditioning Sparse Nonsymmetric Linear Systems with the Sherman--Morrison Formula

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Preconditioning Sparse Nonsymmetric Linear Systems with the Sherman-Morrison Formula

Let Ax = b be a large, sparse, nonsymmetric system of linear equations. A new sparse approximate inverse preconditioning technique for such a class of systems is proposed. We show how the matrix A−1 0 −A−1, where A0 is a nonsingular matrix whose inverse is known or easy to compute, can be factorized in the form UΩV T using the Sherman–Morrison formula. When this factorization process is done in...

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ژورنال

عنوان ژورنال: SIAM Journal on Scientific Computing

سال: 2003

ISSN: 1064-8275,1095-7197

DOI: 10.1137/s1064827502407524