A new iterative method for solving complex symmetric linear systems

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• 作者：Jianhua Zhang ; ^a ; ^{zhangjhnuaa@163.com} ; Hua Dai^b ; ^{hdai@nuaa.edu.cn}
• 关键词：SQMR ; PMHSS ; Complex symmetric linear systems ; Preconditioning
• 刊名：Applied Mathematics and Computation
• 出版年：2017
• 出版时间：1 June 2017
• 年：2017
• 卷：302
• 期：Complete
• 页码：9-20
• 全文大小：562 K
• 卷排序：302

文摘

Based on implementation of the quasi-minimal residual (QMR) and biconjugate A-orthogonal residual (BiCOR) method, a new Krylov subspace method is presented for solving complex symmetric linear systems. The new method can be combined with arbitrary symmetric preconditioners. The preconditioned modified Hermitian and Skew-Hermitian splitting (PMHSS) preconditioner is used to accelerate the convergence rate of this method. Numerical experiments indicate that the proposed method and its preconditioned version are efficient and robust, in comparison with other Krylov subspace methods.