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A sharp lower bound on the probability of a set defined by quadratic inequalities, given the first two moments of the distribution, can be efficiently computed using convex optimization. This result g...
This paper introduces an interval valued linear fractional programming problem (IVLFP). An IVLFP is a linear fractional programming problem with interval coefficients in the objective function. It is ...
Abstract: In the index coding problem, introduced by Birk and Kol (INFOCOM, 1998), the goal is to broadcast an n bit word to n receivers (one bit per receiver), where the receivers have side informati...
In this paper, we introduce an efficient method for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the a...
Given a universe N containing n elements and a collection of multisets or sets over N, the multiset multicover (MSMC) problem or the set multicover (SMC) problem is to cover all elements at least a nu...
EXPECTED NUMBER OF ITERATIONS OF INTERIOR-POINT ALGORITHMS FOR LINEAR PROGRAMMING          font style='font-size:12px;'> 2007/12/12
We study the behavior of some polynomial interior-point algorithms for solving random linear programming (LP) problems. We show that the expected and anticipated number of iterations of these algorith...
A NEW FILLED FUNCTION METHOD FOR INTEGER PROGRAMMING          font style='font-size:12px;'> 2007/12/12
The Filled Function Method is a class of effective algorithms for continuous global optimization. In this paper, a new filled function method is introduced and used to solve integer programming. Fi...
PREDICTOR-CORRECTOR ALGORITHM FOR CONVEX QUADRATIC PROGRAMMING WITH UPPER BOUNDS          font style='font-size:12px;'> 2007/12/11
Predictor-corrector algorithm for linear programming, proposed by Mizuno et al.$^{[1]}$, becomes the best well known in the interior point methods. The purpose of this paper is to extend these resu...
Mathematical Methods of Programming Group     Mathematica  数学  computing  计算       font style='font-size:12px;'> 2007/12/19
The Mathematical Methods of Programming Group research concentrates on the mathematical foundations of computing. The techniques used include: logics, category theory, logics and theory of institution...
An interior-point trust-region algorithm is proposed for minimization of a convex quadratic objective function over a general convex set. The algorithm uses a trust-region model to ensure descent on a...
An interior-point trust-region algorithm is proposed for minimization of general (perhaps, non-convex) quadratic objective function over the domain obtained as the intersection of a symmetric cone wit...

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