Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems

Chengyi Zhang; Guangyan Miao; Yan Zhu

doi:10.1186/s13660-016-1100-6

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Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems

Chengyi Zhang Guangyan Miao Yan Zhu

Year: 2016 Journal: Journal of Inequalities and Applications Vol: 2016 (1) Publisher: Springer Science+Business Media

DOI: 10.1186/s13660-016-1100-6

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Abstract

Abstract Some convergence conditions on successive over-relaxed (SOR) iterative method and symmetric SOR (SSOR) iterative method are proposed for non-Hermitian positive definite linear systems. Some examples are given to demonstrate the results obtained.

Keywords:

Positive-definite matrix Mathematics Hermitian matrix Convergence (economics) Iterative method Applied mathematics Linear system Mathematical analysis Mathematical optimization Eigenvalues and eigenvectors Pure mathematics

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Matrix Theory and Algorithms

Physical Sciences → Computer Science → Computational Theory and Mathematics

Iterative Methods for Nonlinear Equations

Physical Sciences → Mathematics → Numerical Analysis

Advanced Optimization Algorithms Research

Physical Sciences → Mathematics → Numerical Analysis

Convergence on successive over-relaxed iterative methods for non-Hermitian positive definite linear systems

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