caa a22 4500 475750497 CHVBK 20180406123522.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1023/A:1026598214921 doi (NATIONALLICENCE)springer-10.1023/A:1026598214921 Merit Functions for Complementarity and Related Problems: A Survey [Elektronische Daten] [Andreas Fischer, Houyuan Jiang] Merit functions have become important tools for solving various mathematical problems arising from engineering sciences and economic systems. In this paper, we are surveying basic principles and properties of merit functions and some of their applications. As a particular case we will consider the nonlinear complementarity problem (NCP) and present a collection of different merit functions. We will also introduce and study a class of smooth merit functions for the NCP. Kluwer Academic Publishers, 2000 merit function nationallicence complementarity problem nationallicence variational inequality problem nationallicence equation-based reformulation nationallicence Fischer Andreas Department of Mathematics, University of Dortmund, D-44221, Dortmund, Germany aut Jiang Houyuan CSIRO Mathematical and Information Sciences, GPO Box 664, 2601, Canberra, ACT, Australia aut Computational Optimization and Applications Kluwer Academic Publishers 17/2-3(2000-12-01), 159-182 0926-6003 17:2-3<159 2000 17 10589 https://doi.org/10.1023/A:1026598214921 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026598214921 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fischer Andreas Department of Mathematics, University of Dortmund, D-44221, Dortmund, Germany aut NATIONALLICENCE 700 1- Jiang Houyuan CSIRO Mathematical and Information Sciences, GPO Box 664, 2601, Canberra, ACT, Australia aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 17/2-3(2000-12-01), 159-182 0926-6003 17:2-3<159 2000 17 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer