Optimization of Finite-Dimensional Systems

Algebraic solution of the problems of nonconvex quadratic programming

O. V. Khamisov

L. A. Melentiev Energy Systems Institute, Siberian Branch of the Russian Academy of Sciences

Abstract: An algebraic approach founded on the Gröbner bases coupled with the necessary optimality conditions of the first order was used to solve the problem of nonconvex quadratic programming. Illustrative numerical examples were presented.

Presented by the member of Editorial Board: A. I. Kibzun

Received: 27.06.2003

 English version: Automation and Remote Control, 2004, 65:2, 218–226

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