TITLE:
Extension of Range of MINRES-CN Algorithm
AUTHORS:
Mojtaba Ghasemi Kamalvand
KEYWORDS:
Conjugate-Normal Matrices, MINRES-CN Algorithm, MINRES-CN2 Algorithm
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.12,
December
27,
2011
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.