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• W1982355466 abstract "The supernodal method for sparse Cholesky factorization represents the factor L as a set of supernodes, each consisting of a contiguous set of columns of L with identical nonzero pattern. A conventional supernode is stored as a dense submatrix. While this is suitable for sparse Cholesky factorization where the nonzero pattern of L does not change, it is not suitable for methods that modify a sparse Cholesky factorization after a low-rank change to A (an update/downdate, Ā = A ± WW T ). Supernodes merge and split apart during an update/downdate. Dynamic supernodes are introduced which allow a sparse Cholesky update/downdate to obtain performance competitive with conventional supernodal methods. A dynamic supernodal solver is shown to exceed the performance of the conventional (BLAS-based) supernodal method for solving triangular systems. These methods are incorporated into CHOLMOD, a sparse Cholesky factorization and update/downdate package which forms the basis of x = Ab MATLAB when A is sparse and symmetric positive definite." @default.
• W1982355466 created "2016-06-24" @default.
• W1982355466 creator A5002362913 @default.
• W1982355466 creator A5069178025 @default.
• W1982355466 date "2009-02-01" @default.
• W1982355466 modified "2023-10-01" @default.
• W1982355466 title "Dynamic Supernodes in Sparse Cholesky Update/Downdate and Triangular Solves" @default.
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• W1982355466 doi "https://doi.org/10.1145/1462173.1462176" @default.
• W1982355466 hasPublicationYear "2009" @default.
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