Extension of Range of MINRES-CN Algorithm

• 作者: Mojtaba Ghasemi Kamalvand
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Conjugate-Normal MATRICES MINRES-CN ALGORITHM MINRES-CN2 ALGORITHM
• 年，卷（期）: 2011,（12）
• 页码范围: 1446-1447
• 页数: 2页
• 分类号: O1

摘要

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.