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H. Fassbender and Kh. D. Ikramov, “Some Observations on the Youla Form and Conjugate-Normal Matrices,” Linear Algebra and its Applications, Vol. 422, No. 1, 2007, pp. 29-38. doi:10.1016/j.laa.2006.09.004

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• 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.