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The convex and monotone functions associated with second-order cone
Like the matrix-valued functions used in solutions methods for semidefinite programs (SDPs) and semidefinite complementarity problems (SDCPs), the vector-valued functions associated with second-orderExpand
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Properties of circular cone and spectral factorization associated with circular cone
Circular cone includes second-order cone as a special case when the rotation angle is 45 degree. This paper gives an insight on circular cone, in which we describe the tangent cone, normal cone,Expand
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A proximal-like algorithm for a class of nonconvex programming
In this paper, we study a proximal-like algorithm for minimizing a closed proper function f(x) subject to x ‚ 0, based on the iterative scheme: x k 2 argminff(x)+ "kd(x;x ki1 )g, where d(¢;¢) is anExpand
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A survey on SOC complementarity functions and solution methods for SOCPs and SOCCPs
This paper makes a survey on SOC complementarity functions and related solution methods for the second-order cone programming (SOCP) and second-order cone complementarity problem (SOCCP).Expand
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A one-parametric class of merit functions for the symmetric cone complementarity problem
Abstract In this paper, we extend the one-parametric class of merit functions proposed by Kanzow and Kleinmichel [C. Kanzow, H. Kleinmichel, A new class of semismooth Newton-type methods forExpand
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A Damped Gauss-Newton Method for the Second-Order Cone Complementarity Problem
We investigate some properties related to the generalized Newton method for the Fischer-Burmeister (FB) function over second-order cones, which allows us to reformulate the second-order coneExpand
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Properties of a family of generalized NCP-functions and a derivative free algorithm for complementarity problems
In this paper, we propose a new family of NCP-functions and the corresponding merit functions, which are the generalization of some popular NCP-functions and the related merit functions. We show thatExpand
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A new merit function and its related properties for the second-order cone complementarity problem
Recently, J.-S. Chen and P. Tseng extended two merit functions for the non- linear complementarity problem (NCP) and the semideflnite complementarity problem (SDCP) to the second-order coneExpand
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A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for P0-NCPs
We consider a regularization method for nonlinear complementarity problems with F being a P"0-function which replaces the original problem with a sequence of the regularized complementarity problems.Expand
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What is the generalization of natural residual function for NCP
It is well known that the generalized Fischer-Burmeister is a natural extension of the popular Fischer-Burmeister function NCP-function, in which the 2-norm is replaced by general p-norm. As forExpand
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