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• W2104968628 abstract "SummaryWe study sweeping preconditioners for symmetric and positive definite block tridiagonal systems of linear equations. The algorithm provides an approximate inverse that can be used directly or in a preconditioned iterative scheme. These algorithms are based on replacing the Schur complements appearing in a block Gaussian elimination direct solve by hierarchical matrix approximations with reduced off-diagonal ranks. This involves developing low rank hierarchical approximations to inverses. We first provide a convergence analysis for the algorithm for reduced rank hierarchical inverse approximation. These results are then used to prove convergence and preconditioning estimates for the resulting sweeping preconditioner. Copyright © 2014 John Wiley & Sons, Ltd." @default.
• W2104968628 created "2016-06-24" @default.
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• W2104968628 date "2014-11-11" @default.
• W2104968628 modified "2023-09-24" @default.
• W2104968628 title "A convergence analysis for a sweeping preconditioner for block tridiagonal systems of linear equations" @default.
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• W2104968628 doi "https://doi.org/10.1002/nla.1961" @default.
• W2104968628 hasPublicationYear "2014" @default.
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