A new kind of modulus-based matrix splitting methods for vertical linear complementarity problems

A new kind of modulus-based matrix splitting methods is proposed to solve the vertical linear complementarity problems in a direct way. This kind of methods is different from the existing modulus-based formulation which based on an equivalent form of the problem. Convergence of the new methods is proved under certain conditions. Numerical experiments are given to show that the efficiency of the new methods is better than existing ones. (C) 2022 Published by Elsevier Ltd.

Automated summary

A new kind of modulus-based matrix splitting methods is proposed in this paper to solve the vertical linear complementarity problems directly. The methods are different from existing formulations and their convergence is proven under certain conditions. Numerical experiments demonstrate the efficiency of the new methods.