Single step iterative method for linear system of equations with complex symmetric positive semi-definite coefficient matrices

作者：

Highlights：

• Linear system of equations with complex symmetric positive semi-definite coefficient matrices is investigated.

• The main idea is based on introducing a new single step iteration scheme for solving this system.

• Convergence analysis is give in detail and optimal parameter for new iterative procedure is obtained.

• The new scheme is compared with some well-known techniques already proposed in the literature.

• Under some conditions, new algorithm converges fast in comparison with CRI, PMHSS and TSCSP methods.

• Test problems taken from the literature are solved and simulation results are reported to observe performance of presented scheme.

摘要

•Linear system of equations with complex symmetric positive semi-definite coefficient matrices is investigated.•The main idea is based on introducing a new single step iteration scheme for solving this system.•Convergence analysis is give in detail and optimal parameter for new iterative procedure is obtained.•The new scheme is compared with some well-known techniques already proposed in the literature.•Under some conditions, new algorithm converges fast in comparison with CRI, PMHSS and TSCSP methods.•Test problems taken from the literature are solved and simulation results are reported to observe performance of presented scheme.

论文关键词：Single step iterative method,Optimal parameter,Complex matrix,Symmetric positive semi-definite matrix,Convergence

论文评审过程：Received 27 June 2021, Revised 26 December 2021, Accepted 19 March 2022, Available online 17 April 2022, Version of Record 17 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127111