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A dual-parameter double-step splitting iteration method for solving complex symmetric linear equations

Beibei Li; Jingjing Cui; Zhengge Huang; Xiaofeng Xie — 2024

Applications of Mathematics

We multiply both sides of the complex symmetric linear system $A x = b$ by $1 - i ω$ to obtain a new equivalent linear system, then a dual-parameter double-step splitting (DDSS) method is established for solving the new linear system. In addition, we present an upper bound for the spectral radius of iteration matrix of the DDSS method and obtain its quasi-optimal parameter. Theoretical analyses demonstrate that the new method is convergent when some conditions are satisfied. Some tested examples are given to illustrate...

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