Applied Mathematics

Volume 2, Issue 12 (December 2011)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.76  Citations  

Extension of Range of MINRES-CN Algorithm

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DOI: 10.4236/am.2011.212205    3,609 Downloads   6,207 Views  

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.

Cite this paper

M. Kamalvand, "Extension of Range of MINRES-CN Algorithm," Applied Mathematics, Vol. 2 No. 12, 2011, pp. 1446-1447. doi: 10.4236/am.2011.212205.

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