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Semidefinite programming in combinatorial optimization
We discuss the use of semidefinite programming for combinatorial optimization problems. The main topics covered include (i) the Lovász theta function and its applications to stable sets, perfect graphs, and coding theory, (ii) the automatic generation of
Goemans, Michel X.
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Affine scaling algorithm fails for semidefinite programming [PDF]
In this paper, we introduce an affine scaling algorithm for semidefine programming (SDP), and give an example of a semidefinite program such that the affine scaling algorithm converges to a non-optimal point.
Muramatsu, Masakazu
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Semidefinite programming and matrix scaling over the semidefinite cone
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LINEAR AND NONLINEAR SEMIDEFINITE PROGRAMMING
This paper provides a short introduction to optimization problems with semidefinite constraints. Basic duality and optimality conditions are presented.
Gómez,Juan A., Bofill,Walter Gómez
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Due to its many applications in control theory, robust optimization, combinatorial optimization and eigenvalue optimization, semidefinite programming had been in wide spread use even before the development of efficient algorithms brought it into the ...
Helmberg, Christoph
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In semidefinite programming one minimizes a linear function subject to the constraint that an affine combination of symmetric matrices is positive semidefinite. Such a constraint is nonlinear and nonsmooth, but convex, so semidefinite programs are convex
Lieven Vandenberghe, Stephen Boyd
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In this article, we consider using time-of-arrival (TOA) measurements from a single moving receiver to locate a moving target at constant velocity that emits a periodic signal with unknown signal period.
Yanbin Zou, Jingna Fan, Zekai Zhang
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On Semidefinite Programming Relaxations of Association Schemes With Application to Combinatorial Optimization Problems [PDF]
AMS classification: 90C22, 20Cxx, 70-08traveling salesman problem;maximum bisection;semidefinite programming;association ...
Klerk, E. de, Pasechnik, D.V.
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Semidefinite Programming and Constraint Programming [PDF]
Recently, semidefinite programming relaxations have been applied in constraint programming to take advantage of the high-quality bounds and precise heuristic guidance during the search for a solution. The purpose of this chapter is to present an overview of these developments, and to provide future research prospects.
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On Semidefinite Programming Relaxations of the Travelling Salesman Problem (Replaced by DP 2008-96) [PDF]
AMS classification: 90C22, 20Cxx, 70-08traveling salesman problem;semidefinite programming;quadratic as- signment ...
Klerk, E. de +2 more
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