Comparison And Improvement Of Algorithms For Linear Variational Inequalities

In this paper, we try to solve the following linear monotone variational inequality prob-lems: First, we offer some examples to show the disadvantages of the self-adaptive algo-rithms [5,11]. Secondly, we search for a particularβto improve the classical projec-tion and contraction method [2,3].The new algorithm is more efficient and effective than self-adaptive algorithm[5,11]for symmetric and asymmetric linear variational in-equality problems.The proof of convergence and uniqueness of our algorithm will be provided in chapter 5, and the results of our experiment will be shown in Chapter 4 and Chapter 6.