On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem
Copyright policy )On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem
It has been an open question whether the family of merit functionsψp (p>1)\psi _p\ (p>1), the generalized Fischer-Burmeister (FB) merit function, associated to the second-order cone is smooth or not. In this paper we answer it partly, and show thatψp\psi _pis smooth forp∈(1,4)p\in (1,4), and we provide the condition for its coerciveness. Numerical results are reported to illustrate the influence ofppon the performance of the merit function method based onψp\psi _p.
- National Taiwan Normal University Taiwan
- Sungkyul University Korea (Republic of)
- Sungkyunkwan University Korea (Republic of)
- South China University of Technology China (People's Republic of)
- Chungbuk National University Korea (Republic of)
generalized FB merit function, complementarity problem, nonlinear complementarity problem, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), second-order cones
generalized FB merit function, complementarity problem, nonlinear complementarity problem, Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming), second-order cones
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).8 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!