A Generalised CRI Iteration Method for Complex Symmetric Linear Systems

Authors

  • Guoliang Chen School of Mathematical Sciences, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, Dongchuan RD 500, Shanghai 200241, P.R. China.
  • Yunyin Huang School of Mathematical Sciences, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University, Dongchuan RD 500, Shanghai 200241, P.R. China.

DOI:

https://doi.org/10.4208/eajam.120518.231218%20

Keywords:

Complex linear system, iterative method, convergence, optimal parameters.

Abstract

A generalisation of the combination method of real and imaginary parts for complex symmetric linear systems based on the introduction of an additional parameter is proposed. Sufficient conditions for the convergence of the method are derived. Numerical examples show the efficiency of this algorithm.

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Published

2019-10-09

Issue

Vol. 9 No. 4 (2019)

Section

Articles