Search
Search Results
-
New Constraint Qualifications for Mathematical Programs with Second-Order Cone Complementarity Constraints
In this paper, we propose several new constraint qualifications for mathematical programs with second-order cone complementarity constraints...
-
Minimizing a complex quadratic fractional optimization problem with two second-order cone constraints
One of the problematic research areas in optimization is determining a global optimum for non-convex quadratic fractional optimization problems as a...
-
Optimization Problems with Cone Constraints in Groups and Semigroups: An Approach Based on Image Space Analysis
In this paper, a class of optimization problems with cone constraints in groups and semigroups is investigated by exploiting the image space...
-
Approximation hierarchies for copositive cone over symmetric cone and their comparison
We first provide an inner-approximation hierarchy described by a sum-of-squares (SOS) constraint for the copositive (COP) cone over a general...
-
Convergence of an augmented Lagrange algorithm for nonlinear optimizations with second-order cone constraints
An augmented Lagrange algorithm for nonlinear optimizations with second-order cone constraints is proposed based on a Löwner operator associated with...
-
The Homogenization Cone: Polar Cone and Projection
Let C be a closed convex subset of a real Hilbert space containing the origin, and assume that K is the homogenization cone of C , i.e., the smallest...
-
Optimality Conditions for Nonlinear Second-Order Cone Programming and Symmetric Cone Programming
Nonlinear symmetric cone programming (NSCP) generalizes important optimization problems such as nonlinear programming, nonlinear semi-definite...
-
Scaled constraint qualifications and necessary optimality conditions for nonsmooth mathematical programs with second-order cone complementarity constraints
In this paper, a nonsmooth mathematical program with second-order cone complementarity constraints (SOCMPCC) is studied. First scaled and strong...
-
Second-order Optimality Conditions for Mathematical Program with Semidefinite Cone Complementarity Constraints and Applications
This paper is concerned with second-order optimality conditions for the mathematical program with semidefinite cone complementarity constraints. To...
-
Higher Order Variational Symmetric Duality Over Cone Constraints
The prime objective of our discussions moves around the higher order variational symmetric dual pairs for which constraints are defined over cones...
-
Computing the recession cone of a convex upper image via convex projection
It is possible to solve unbounded convex vector optimization problems (CVOPs) in two phases: (1) computing or approximating the recession cone of the...
-
-
Directional Compactness, Approximations and Efficiency Conditions for Nonsmooth Vector Equilibrium Problems with Constraints
In this article, we introduce and study a natural version of the directional compactness, which can be viewed as one of the effective tools for...
-
The Nonconvex Second-Order Cone: Algebraic Structure Toward Optimization
This paper explores the nonconvex second-order cone as a nonconvex conic extension of the known convex second-order cone in optimization, as well as...
-
On approximate solutions for robust semi-infinite multi-objective convex symmetric cone optimization
We present approximate solutions for the robust semi-infinite multi-objective convex symmetric cone programming problem. By using the robust...
-
DC Semidefinite programming and cone constrained DC optimization I: theory
In this two-part study, we discuss possible extensions of the main ideas and methods of constrained DC optimization to the case of nonlinear...
-
Singular Value Analysis of Linear Maps Under Conic Constraints
We have recently introduced and studied the concept of singular value of a rectangular matrix relative to a pair of closed convex cones. Such cones...
-
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints
We consider optimization problems with manifold-valued constraints. These generalize classical equality and inequality constraints to a setting in...
-
DC semidefinite programming and cone constrained DC optimization II: local search methods
The second part of our study is devoted to a detailed convergence analysis of two extensions of the well-known DCA method for solving DC (Difference...
