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arxiv: 1303.5692 · v1 · pith:LH5OK6QEnew · submitted 2013-03-21 · 🧮 math.NA

Deflation and augmentation techniques in Krylov subspace methods for the solution of linear systems

Olivier Coulaud (INRIA Bordeaux - Sud-Ouest) , Luc Giraud (INRIA Bordeaux - Sud-Ouest) , Pierre Ramet (INRIA Bordeaux - Sud-Ouest) , Xavier Vasseur (INRIA Bordeaux - Sud-Ouest) This is my paper
classification 🧮 math.NA
keywords linearsystemsaugmentationdeflationkrylovmethodssolutionsubspace
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In this paper we present deflation and augmentation techniques that have been designed to accelerate the convergence of Krylov subspace methods for the solution of linear systems of equations. We review numerical approaches both for linear systems with a non-Hermitian coefficient matrix, mainly within the Arnoldi framework, and for Hermitian positive definite problems with the conjugate gradient method.

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