We present an inexact multisplitting method for solving the linear complementarity problems, which is based on the inexact splitting method and the multisplitting method. This new method provides a specific realization for the multisplitting method and generalizes many existing matrix splitting meth
IGAOR and multisplitting IGAOR methods for linear complementarity problems
โ Scribed by Sheng-Guo Li; Hao Jiang; Li-Zhi Cheng; Xiang-Ke Liao
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 264 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we propose an interval version of the generalized accelerated overrelaxation methods, which we refer to as IGAOR, for solving the linear complementarity problems, LCP (M, q), and develop a class of multisplitting IGAOR methods which can be easily implemented in parallel. In addition, in regards to the H-matrix with positive diagonal elements, we prove the convergence of these algorithms and illustrate their efficiency through our numerical results.
๐ SIMILAR VOLUMES
The convergence of the multiplicative multisplitting-type method for solving the linear complementarity problem with an H-matrix is discussed using classical and new results from the theory of splitting. This directly results in a sufficient condition for guaranteeing the convergence of the multipli
Many problems in the areas of scientific computing and engineering applications can lead to the solution of the linear complementarity problem LCP (M, q). It is well known that the matrix multisplitting methods have been found very useful for solving LCP (M, q). In this article, by applying the gene
A new comparison theorem on the monotone convergence rates of the parallel nonlinear multisplitting accelerated overrelaxation (AOR) method for solving the large scale nonlinear complementarity problem is established. Thus, the monotone convergence theory of this class of method is completed.