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Global convergence of descent processes for solving non strictly monotone variational inequalities
Authors:P Marcotte  D Zhu
Institution:(1) DIRO and CRT, University of Montreal, H3C 3J7 Montreal, Quebec, Canada;(2) CRT, University of Montreal, H3C 3J7 Montreal, Quebec, Canada
Abstract:This paper addresses the question of global convergence of descent processes for solving monotone variational inequalities defined on compact subsets ofR n . The approach applies to a large class of methods that includes Newton, Jacobi and linearized Jacobi methods as special cases. Furthermore, strict monotonicity of the cost mapping is not required.Research supported by NSERC grant A5789.
Keywords:descent methods  variational inequalities  global convergence
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