Open Mathematics (Dec 2021)

On the convergence of two-step modulus-based matrix splitting iteration method

  • Fang Ximing,
  • Fu Shouzhong,
  • Gu Ze

DOI
https://doi.org/10.1515/math-2021-0132
Journal volume & issue
Vol. 19, no. 1
pp. 1461 – 1475

Abstract

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In this paper, based on the relationship between the linear complementarity problem and its reformulated fixed-point equation, we discuss the conditions of the modulus-based type iteration methods. Moreover, we present some convergence results on the two-step modulus-based matrix splitting iteration method with an H+{H}_{+}-matrix. Finally, we give the numerical experiments.

Keywords