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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 64 (1994), S. 103-122 
    ISSN: 1436-4646
    Keywords: Variational inequality ; Stationary point ; Simplicial algorithm ; Variable dimension algorithm ; Continuous deformation ; Triangulation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A continuous deformation algorithm is proposed for solving a variational inequality problem on a polytopeK. The algorithm embeds the polytopeK intoK× [0, ∞) and starts by applying a variable dimension algorithm onK× {0} until an approximate solution is found onK× {0}. Then by tracing the path of solutions of a system of equations the algorithm virtually follows a path of approximate solution inK× [0, ∞). When the path inK× [0, ∞) returns to level 0, i.e.,K× {0}, the variable dimension algorithm is again used until a new approximate solution is found onK× {0}. The setK× [0, ∞) is triangulated so that the approximate solution on the path improves the accuracy as the level increases. A contrivance for a practical implementation of the algorithm is proposed and tested for some test problems.
    Type of Medium: Electronic Resource
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