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83
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SIAMJO
2010
112views more  SIAMJO 2010»
14 years 6 months ago
A Semidefinite Relaxation Scheme for Multivariate Quartic Polynomial Optimization with Quadratic Constraints
We present a general semidefinite relaxation scheme for general n-variate quartic polynomial optimization under homogeneous quadratic constraints. Unlike the existing sum-of-squar...
Zhi-Quan Luo, Shuzhong Zhang
105
Voted
SIAMJO
2010
110views more  SIAMJO 2010»
14 years 6 months ago
Estimating Bounds for Quadratic Assignment Problems Associated with Hamming and Manhattan Distance Matrices Based on Semidefinit
Quadratic assignment problems (QAPs) with a Hamming distance matrix for a hypercube or a Manhattan distance matrix for a rectangular grid arise frequently from communications and ...
Hans D. Mittelmann, Jiming Peng
MP
2008
81views more  MP 2008»
14 years 11 months ago
An inexact primal-dual path following algorithm for convex quadratic SDP
Abstract We propose primal-dual path-following Mehrotra-type predictorcorrector methods for solving convex quadratic semidefinite programming (QSDP) problems of the form: minX{1 2 ...
Kim-Chuan Toh
108
Voted
JSAT
2006
114views more  JSAT 2006»
14 years 11 months ago
Semidefinite Optimization Approaches for Satisfiability and Maximum-Satisfiability Problems
Semidefinite optimization, commonly referred to as semidefinite programming, has been a remarkably active area of research in optimization during the last decade. For combinatoria...
Miguel F. Anjos
96
Voted
JSAT
2008
79views more  JSAT 2008»
14 years 11 months ago
An Extended Semidefinite Relaxation for Satisfiability
This paper proposes a new semidefinite programming relaxation for the satisfiability problem. This relaxation is an extension of previous relaxations arising from the paradigm of ...
Miguel F. Anjos