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OL
2007
133views more  OL 2007»
14 years 11 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»
14 years 11 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»
14 years 10 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»
14 years 10 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»
14 years 10 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