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• W2057980100 abstract "This paper describes and tests a parallel message-passing code for constructing sparse approximate inverse preconditioners using Frobenius norm minimization. The sparsity patterns of the preconditioners are chosen as patterns of powers of sparsified matrices. Sparsification is necessary when powers of a matrix have a large number of nonzeros, making the approximate inverse computation expensive. For our test problems, the minimum solution time is achieved with approximate inverses with less than twice the number of nonzeros of the original matrix. Additional accuracy is not compensated by the increased cost per iteration. The results lead to further understanding of how to use these methods and how well these methods work in practice. In addition, this paper describes programming techniques required for high performance, including one-sided communication, local coordinate numbering, and load repartitioning." @default.
• W2057980100 created "2016-06-24" @default.
• W2057980100 creator A5039834058 @default.
• W2057980100 date "2001-02-01" @default.
• W2057980100 modified "2023-09-26" @default.
• W2057980100 title "Parallel Implementation and Practical Use of Sparse Approximate Inverse Preconditioners with a Priori Sparsity Patterns" @default.
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• W2057980100 doi "https://doi.org/10.1177/109434200101500106" @default.
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