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Sparse Nonnegative Solution of Underdetermined Linear Equations by Linear Programming
Neighborly Polytopes Cyclic Polytopes
2015/8/21
Consider an underdetermined system of linear equations y = Ax with known d×n matrix
A and known y. We seek the sparsest nonnegative solution, i.e. the nonnegative x with fewest
nonzeros satisfying y...
Robust linear programming and optimal control
Linear programming Convex optimization Model-predictive control
2015/8/11
We describe an efficient method for solving an optimal control problem that arises in robust model-predictive control. The problem is to design the input sequence that minimizes the peak tracking erro...
Extensions of Gauss quadrature via linear programming
Gauss quadrature Semi-infi nite programming Convex optimization
2015/8/7
Gauss quadrature is a well known method for estimating the integral of a continuous function with respect to a given measure as a weighted sum of the function evaluated at a set of node points. Gauss ...
Error Correction via Linear Programming
Linear codes decoding of (random) linear codes sparse solutions to underdetermined systems `1-minimization linear programming restricted orthonormality Gaussian random matrices.
2015/6/17
Suppose we wish to transmit a vector f ∈ Rn reliably. A frequently discussed approach consists in encoding f with an m by n coding matrix A. Assume now that a fraction of the entries of Af are corrupt...
Effectiveness in improving knowledge, practices, and intakes of “key problem nutrients” of a complementary feeding intervention developed by using linear programming: experience in Lombok, Indonesia
complementary feeding recommendation Indonesia infants and young children key problem nutrients linear programming nutrient density
2018/12/24
Background: Complementary feeding recommendations (CFRs) with the use of locally available foods can be developed by using linear programming (LP). Although its potential has been shown for planning p...
Linear Programming Relaxations of Quadratically Constrained Quadratic Programs
Quadratic Programming Semidefinite Programming relaxation Linear Programming
2012/6/29
We investigate the use of linear programming tools for solving semidefinite programming relaxations of quadratically constrained quadratic problems. Classes of valid linear inequalities are presented,...
Calculation of Standard Thermodynamic Potentials for Na-Zeolites with the Use of Linear Programming Problems
Na-Zeolites Standard Thermodynamic Potentials Linear Programming
2013/3/7
Linear programming problems for Na-Al-Si-O-H system have been formulated and solved for calculations of standard enthalpies and Gibbs potentials of zeolites with unknown thermodynamic properties. The ...
A Linear Programming Approach to Weak Reversibility and Linear Conjugacy of Chemical Reaction Networks
chemical kinetics stability theory weak reversibility linear programming dynamical equivalence
2011/8/30
Abstract: A numerically effective procedure for determining weakly reversible chemical reaction networks that are linearly conjugate to a known reaction network is proposed in this paper. The method i...
Controller Synthesis for Robust Invariance of Polynomial Dynamical Systems using Linear Programming
Controller Synthesis Robust Invariance Polynomial Dynamical Systems Linear Programming
2011/8/30
Abstract: In this paper, we consider a control synthesis problem for a class of polynomial dynamical systems subject to bounded disturbances and with input constraints. More precisely, we aim at synth...
Polytopic Invariant Verification and Synthesis for Polynomial Dynamical Systems via Linear Programming
Polytopic Invariant Verification Synthesis for Polynomial Dynamical Systems Linear Programming
2011/1/18
This paper deals with the veri cation and the synthesis of polytopic invariant sets for
polynomial dynamical systems. An invariant set of a dynamical system is a subset of the state
space such that ...
The central curve in linear programming
Linear programming interior point methods matroid Tutte polynomial hyperbolic
2011/2/22
The central curve of a linear program is an algebraic curve speci ed by linear and quadratic constraints arising from complementary slackness. It is the union of the various central paths for minimizi...
Improved linear programming decoding of LDPC codes and bounds on the minimum and fractional distance
Improved linear programming LDPC codes bounds minimum fractional distance
2011/1/19
We examine LDPC codes decoded using linear programming (LP). Four contributions to the LP framework are presented. First, a new method of tightening the LP relaxation,and thus improving the LP decoder...
A new method for solving integer linear programming problems with fuzzy variables
Fuzzy theory Fuzzy variables Integer linear programming
2010/9/21
A new method namely, decomposition method for solving integer linear programming problems with fuzzy variables by using classical integer linear programming has been proposed. In the decomposition met...
A note on the structure of the central path in linear programming
central path crossover events layers
2010/9/26
A note on the structure of the central path in linear programming.
An Iterative Joint Linear-Programming Decoding of LDPC Codes and Finite-State Channels
Iterative Joint Linear-Programming Decoding of LDPC Codes Finite-State Channels
2010/12/10
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...