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Showing 1 to 3 of 3 for “"updating preconditioners"”.
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Reusing and Updating Preconditioners for Sequences of Matrices
… the benefits of both reusing and recycling preconditioners, with special focus on ILUTP and factorized sparse approximate inverses and proposes an update that we refer to as a sparse approximate map or SAM update. Analysis of the residual and eigenvalues of the map will be provided. …
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Recycling Preconditioners for Sequences of Linear Systems and Matrix Reordering
… subspace methods and how to obtain effective preconditioners inexpensively. We first present an application for electronic structure calculation. A sequence of slowly changing linear systems is produced in the simulation. The linear systems change by rank-one updates. Properties of the system …
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Recycling Krylov Subspaces and Preconditioners
… algorithms that recycle Krylov subspaces and preconditioners from one system (or pair of systems) in the sequence to the next, leading to efficient solutions. Besides the benefit of only having to store few Lanczos vectors, using BiConjugate Gradients (BiCG) to solve dual linear systems may …