%0 Report
%D 1995
%T An Iterative Method for Solving Linear Inequalities
%A Stewart, G.W.
%K Technical Report
%X This paper describes and analyzes a method for finding nontrivialsolutions of the inequality $Ax \geq 0$, where $A$ is an $m \times n$ matrix of rank $n$. The method is based on the observation that a certain function $f$ has a unique minimum if and only if the inequality {\it fails to have} a nontrivial solution. Moreover, if there is a solution, an attempt to minimize $f$ will produce a sequence that will diverge in a direction that converges to a solution of the inequality. The technique can also be used to solve inhomogeneous inequalities and hence linear programming problems, although no claims are made about competitiveness with existing methods.
%I Department of Computer Science, University of Maryland, College Park
%V CS-TR-1833
%8 1995/02/06/
%G eng
%U http://drum.lib.umd.edu/handle/1903/355