4.6 Article

A new relaxed acceleration two-sweep modulus-based matrix splitting iteration method for solving linear complementarity problems

Journal

AIMS MATHEMATICS
Volume 8, Issue 6, Pages 13368-13389

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2023677

Keywords

linear complementarity problem; relaxation; acceleration; modulus-based matrix splitting iteration method; convergence analysis

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A new relaxed acceleration two-sweep modulus-based matrix splitting (NRATMMS) iteration method is developed for solving linear complementarity problems. The convergence of the NRATMMS method is established with the system matrix A being an H+-matrix. Numerical experiments show that the proposed method is superior to some existing algorithms under appropriate conditions.
A new relaxed acceleration two-sweep modulus-based matrix splitting (NRATMMS) iteration method is developed to solve linear complementarity problems. The convergence of the NRATMMS method is established with the system matrix A being an H+-matrix. Numerical experiments show that the proposed method is superior to some existing algorithms under appropriate conditions.

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