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OL
2007
133views more  OL 2007»
13 years 9 months ago
An SQP-type algorithm for nonlinear second-order cone programs
We propose an SQP-type algorithm for solving nonlinear second-order cone programming (NSOCP) problems. At every iteration, the algorithm solves a convex SOCP subproblem in which th...
Hirokazu Kato, Masao Fukushima
OL
2007
121views more  OL 2007»
13 years 9 months ago
Global optimization by continuous grasp
We introduce a novel global optimization method called Continuous GRASP (C-GRASP) which extends Feo and Resende’s greedy randomized adaptive search procedure (GRASP) from the dom...
Michael J. Hirsch, Cláudio Nogueira de Mene...
OL
2010
77views more  OL 2010»
13 years 8 months ago
A note on Burer's copositive representation of mixed-binary QPs
In an important paper, Burer [2] recently showed how to reformulate general mixed-binary quadratic optimization problems (QPs) into copositive programs where a linear functional i...
Immanuel M. Bomze, Florian Jarre
OL
2010
104views more  OL 2010»
13 years 8 months ago
On representations of the feasible set in convex optimization
We consider the convex optimization problem minx{f(x) : gj(x) ≤ 0, j = 1, . . . , m} where f is convex, the feasible set K is convex and Slater’s condition holds, but the funct...
Jean B. Lasserre
OL
2010
87views more  OL 2010»
13 years 8 months ago
Uniqueness of integer solution of linear equations
Abstract. We consider the system of m linear equations in n integer variables Ax = d and give sufficient conditions for the uniqueness of its integer solution x ∈ {−1,1}n by r...
O. L. Mangasarian, Michael C. Ferris