О ПРИМЕНЕНИИ МЕТОДА НЕВЯЗКИ ДЛЯ КОРРЕКЦИИ ПРОТИВОРЕЧИВЫХ ЗАДАЧ ВЫПУКЛОГО ПРОГРАММИРОВАНИЯ

科研成果: Article

摘要

For the correction of a convex programming problem with potentially inconsistent constraint system (an improper problem), we apply the residual method, which is a standard regularization procedure for ill-posed optimization models. Further, a problem statement typical for the residual method is reduced to the minimization problem for an appropriate penalty function. We apply two classical penalty functions: the quadratic penalty function and the Eremin-Zangwill exact penalty function. For each of the approaches, we establish convergence conditions and estimates for the approximation error.
投稿的翻译标题On the application of the residual method for the correction of inconsistent problems of convex programming
源语言Russian
页(从-至)268-276
页数9
期刊Труды института математики и механики УрО РАН
20
2
Published - 2014

GRNTI

  • 27.00.00 MATHEMATICS

Level of Research Output

  • VAK List

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