Computational Research on Complementarity Problems and Variational Inequalities

工程、经济和科学领域的持续增长和广泛应用极大地增加了对高级计算方法的需求，以解决一些高度复杂的非线性互补问题和变分不等式。 拟议的调查将集中在几个主要方面：（a）基础-收敛性能和后验误差分析的新的和现有的解决方案的方法，（B）数值-计算机实现和测试和软件开发的新算法，和（c）实际-有效的解决方案的重要类别的工程和经济问题。 也将研究具有平衡约束的数学规划类。 ***

The continued growth and expanded applications in engineering, economics, and sciences have greatly increased the need for advanced computational methods for solving some highly complex nonlinear complementary problems and variational inequalities. The proposed investigation will focus on several major aspects: (a) foundational---convergence properties and posteriori error analysis of new and existing solution methods, (b) numerical--- computer implementation and testing and software development of new algorithms, and (c) practical---the efficient solution of important classes of engineering and economics problems. The class of mathematical programs with equilibrium constraints will also be investigated. ***