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SIAMJO
2010
112views more  SIAMJO 2010»
13 years 1 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
SIAMJO
2010
110views more  SIAMJO 2010»
13 years 1 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»
13 years 6 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
JSAT
2006
114views more  JSAT 2006»
13 years 6 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
JSAT
2008
79views more  JSAT 2008»
13 years 6 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