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A dual exact penalty formulation for the linear complementarity problem - MaRDI portal

A dual exact penalty formulation for the linear complementarity problem (Q1093553)

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scientific article; zbMATH DE number 4023047
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A dual exact penalty formulation for the linear complementarity problem
scientific article; zbMATH DE number 4023047

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    A dual exact penalty formulation for the linear complementarity problem (English)
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    1988
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    We consider a dual exact penalty formulation for the monotone linear complementarity problem. Tihonov regularization is then used to reduce the solution of the problem to the solution of a sequence of positive- definite, symmetric quadratic programs. A modified form of an SOR method due to Mangasarian is proposed to solve these quadratic programs. We also indicate how to obtain approximation solutions to predefined tolerance by solving a single quadratic program, in special cases.
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    successive overrelaxation methods
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    dual exact penalty formulation
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    monotone linear complementarity
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    Tihonov regularization
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    approximation solutions
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