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Analysis on the smoothing method for the -linear complementarity systems

✍ Scribed by W.H. Yang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
378 KB
Volume
72
Category
Article
ISSN
0362-546X

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✦ Synopsis

A smoothing method for solving the linear complementarity systems (LCS) has been proposed by Zheng in his thesis. In Zheng's algorithm, the LCS is reformulated as a parameterized differential-algebraic equation (DAE). However, the existence of the solution of the parameterized DAE is not proved. The aim of this paper is to establish the existence of the solution of the parameterized DAE and to demonstrate the continuous dependence of the solution on the parameter and the initial value of the parameterized DAE.

πŸ“œ SIMILAR VOLUMES

Superlinear/quadratic smoothing Broyden-
Superlinear/quadratic smoothing Broyden-like method for the generalized nonlinear complementarity problem
✍ Bilian Chen; Changfeng Ma πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 290 KB

In this article, we first reformulate the generalized nonlinear complementarity problem (GNCP) over a polyhedral cone as a smoothing system of equations and then suggest a smoothing Broyden-like method for solving it. The proposed algorithm has to solve only one system of nonhomogeneous linear equat