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Extension of Range of MINRES-CN Algorithm
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Applied Mathematics·Volume 02 (2011)·Pages 1446–1447·Published 5 December 2011·DOI10.4236/am.2011.212205
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Abstract
MINRES-CN is an iterative method for solving systems of linear equations with conjugate-normal coefficient matrices whose conspectra are located on algebraic curves of a low degree. This method was proposed in a previous publication of author and KH. D. Ikramov. In this paper, the range of applicability of MINRES-CN is extended in new direction. These are conjugate normal matrices that are low rank perturbations of Symmetric matrices. Examples are given that demonstrate a higher efficiency of MINRES-CN for this class of systems compared to the well-known algorithm GMRES.
KeywordsConjugate-Normal MatricesMINRES-CN AlgorithmMINRES-CN2 Algorithm
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