A preconditioned SSOR iteration method for solving complex symmetric system of linear equations | Zendy

Tahereh Salimi Siahkolaei | Zendy; Davod Khojasteh Salkuyeh | Zendy

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A preconditioned SSOR iteration method for solving complex symmetric system of linear equations

Author(s) -

Tahereh Salimi Siahkolaei,

Davod Khojasteh Salkuyeh

Publication year - 2019

Publication title -

numerical algebra control and optimization

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.303

H-Index - 20

eISSN - 2155-3289

pISSN - 2155-3297

DOI - 10.3934/naco.2019033

Subject(s) - spectral radius , mathematics , convergence (economics) , iterative method , linear system , matrix (chemical analysis) , system of linear equations , mathematical analysis , eigenvalues and eigenvectors , algorithm , physics , composite material , quantum mechanics , economics , economic growth , materials science

We present a preconditioned version of the symmetric successive overrelaxation (SSOR) iteration method for a class of complex symmetric linear systems. The convergence results of the proposed method are established and conditions under which the spectral radius of the iteration matrix of the method is smaller than that of the SSOR method are analyzed. Numerical experiments illustrate the theoretical results and depict the efficiency of the new iteration method.

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