Preconditioned GSOR iterative method for a class of complex symmetric\n system of linear equations

2014/10/09 by Davod Hezari, Hezari, Davod, Vahid Edalatpour +3
Computer Science · Engineering · Mathematics · Physics and Astronomy · #65F #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Scattering and Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.1410.2375

openalex publication_date 2014/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we present a preconditioned variant of the generalized\nsuccessive overrelaxation (GSOR) iterative method for solving a broad class of\ncomplex symmetric linear systems. We study conditions under which the spectral\nradius of the iteration matrix of the preconditioned GSOR method is smaller\nthan that of the GSOR method and determine the optimal values of iteration\nparameters. Numerical experiments are given to verify the validity of the\npresented theoretical results and the effectiveness of the preconditioned GSOR\nmethod.\n

Citations

• Modified HSS iteration methods for a class of complex symmetric linear systems

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