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Numer. Math. (2002) 92: 1-16 Digital Object Identifier (DOI) 10.1007/s002ll 0100351 Numerische

Summary: Numer. Math. (2002) 92: 1-16
Digital Object Identifier (DOI) 10.1007/s002ll 0100351 Numerische
Numerical validation of solutions
of complementarity problems: The nonlinear case
G.E. Alefeldl, x. Chen2, RA. Potra3
1 Institut für Angewandte Mathematik, Universität Karlsruhe, Kaiserstraße 12,
76128 Karlsruhe, Germany; e-mail: goetz.a1efeld@math.uni-Karlsruhe.de
2 Department ofMathematics and Computer Science, Shimane University,
Matsue 690-8504, Japan
3 Department of Mathematics and Statistics, University of Maryland BaItimore County,
1000 Hilltop Circle BaItimore, MD 21250, USA
Received September 22, 2000 / Revised version received April 11, 2001 /
Published online Oetober 17, 2001 - @ Springer-Verlag 200 I
Summary. Thispaper proposes avalidationmethod for solutions of nonlin-
ear complementarity problems. The validation procedure performs a com-
putational 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.
Mathematics Subject Classification (1991): 65KIO


Source: Alefeld, Götz - Institut für Angewandte und Numerische Mathematik & Fakultät für Mathematik, Universität Karlsruhe


Collections: Mathematics