An interior point method for solving systems of linear equations and inequalities

نویسندگان

  • Markku Kallio
  • Seppo Salo
چکیده

A simple interior point method is proposed for solving a system of linear equations subject to nonnegativity constraints. The direction of update is de ned by projection of the current solution on a linear manifold de ned by the equations. Infeasibility is discussed and extension for free and bounded variables is presented. As an application, we consider linear programming problems and a comparison with a state-of-the-art primal–dual infeasible interior point code is presented. c © 2000 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • Oper. Res. Lett.

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2000