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A METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS WHOSE COEFFICIENT MATRICES ARE NORMAL AND SPECIAL.

Publish Year: 1386
Type: Conference paper
Language: English
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AIMC38_218

Index date: 18 August 2008

A METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS WHOSE COEFFICIENT MATRICES ARE NORMAL AND SPECIAL. abstract

A minimal residual method, called MINRES-N2 that is based on the use of unconventional Krylov subspaces was previously proposed by the authors for solving a system of linear equations Ax=b with a normal conefficient matrix whose spectrum belongs to an algebriac second-degree curve Γ. However, the computational scheme of this method dose not cover matrices of the from A=αU+βI, where U is an arbitrary unitary matrix; for such matrices, Γ. is a circle.

A METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS WHOSE COEFFICIENT MATRICES ARE NORMAL AND SPECIAL. Keywords:

linear polynomials in unitary matrices- minimal residual method modifuction of the MINRES-N2 algorithm

A METHOD FOR SOLVING SYSTEMS OF LINEAR EQUATIONS WHOSE COEFFICIENT MATRICES ARE NORMAL AND SPECIAL. authors

M DANA

Department of Mathematics, kurdestan University, Sanandaj, Iran