Single-step triangular splitting iteration method for a class of complex symmetric linear system

2020/05/20 by Xian Li, Wu, Jie, Li, Xi'an
Computer Science · Mathematics · #65F10 #65F50 #Advanced Optimization Algorithms Research #FOS: Mathematics #Iterative Methods for Nonlinear Equations #Matrix Theory and Algorithms #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2005.09835

openalex publication_date 2020/05/20 · openalex created_date 2020/05/29 · openalex updated_date 2026/07/28

Abstract

For solving a class of block two-by-two real linear system, a new single-step iteration method based on triangular splitting scheme is proposed in this paper. Then the convergence properties of this method are carefully investigated. In addition, we determine its optimal iteration parameters and give the corresponding optimal convergence factor. It is worth mentioning that the SSTS iteration method is robust and superior to SBTS and PSBTS iteration methods under suitable conditions. Finally, some numerical experiments are carried out to validate the theoretical results and evaluate this new method.

Citations

• Optical tomography in medical imaging
• Modified HSS iteration methods for a class of complex symmetric linear systems

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