Numerical validation of solutions of complementarity The nonlinear case |
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Authors: | G.E. Alefeld X. Chen F.A. Potra |
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Affiliation: | Institut für Angewandte Mathematik, Universit?t Karlsruhe, Kaiserstra?e 12, 76128 Karlsruhe, Germany; e-mail: goetz.alefeld@math.uni-Karlsruhe.de, DE Department of Mathematics and Computer Science, Shimane University, Matsue 690-8504, Japan, JP Department of Mathematics and Statistics, University of Maryland Baltimore County, 1000 Hilltop Circle Baltimore, MD 21250, USA, US
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Abstract: | Summary. This paper proposes a validation method for solutions of nonlinear complementarity problems. The validation procedure performs a computational test. If the result of the test is positive, then it is guaranteed that a given multi-dimensional interval either includes a solution or excludes all solutions of the nonlinear complementarity problem. Received September 22, 2000 / Revised version received April 11, 2001 / Published online October 17, 2001 |
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Keywords: | Mathematics Subject Classification (1991): 65K10 |
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