Pınar, M. Ç.2016-02-082016-02-0819980377-2217http://hdl.handle.net/11693/25445We describe a modified Newton type algorithm for the solution of linear inequality systems in the sense of minimizing the ℓ2 norm of infeasibilities. Finite termination is proved, and numerical results are given. © 1998 Elsevier Science B.V.EnglishFinitenessLinear inequalitiesNewton's methodPiecewise-quadratic functionsAlgorithmsFinite element methodFunctionsNumerical methodsTheorem provingLinear inequality systemsNewton's methodsPiecewise quadratic functionsOptimizationArticle10.1016/S0377-2217(97)00178-1