We introduce a class of preconditioners for general sparse matrices based on the Birkhoff-von Neumann decomposition of doubly stochastic matrices. These preconditioners are aimed primarily at solving challenging linear systems with highly unstructured and indefinite coefficient matrices. We present some theoretical results and numerical experiments on linear systems from a variety of applications.

Preconditioning Techniques Based on the Birkhoff-von Neumann Decomposition

Benzi, Michele;
2017

Abstract

We introduce a class of preconditioners for general sparse matrices based on the Birkhoff-von Neumann decomposition of doubly stochastic matrices. These preconditioners are aimed primarily at solving challenging linear systems with highly unstructured and indefinite coefficient matrices. We present some theoretical results and numerical experiments on linear systems from a variety of applications.
2017
Settore MAT/08 - Analisi Numerica
Bipartite Graphs; Birkhoff-von Neumann Decomposition; Doubly Stochastic Matrix; Parallel Computing; Preconditioning; Numerical Analysis; Computational Mathematics; Applied Mathematics
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/75236
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