О ПРИМЕНЕНИИ МЕТОДА НЕВЯЗКИ ДЛЯ КОРРЕКЦИИ ПРОТИВОРЕЧИВЫХ ЗАДАЧ ВЫПУКЛОГО ПРОГРАММИРОВАНИЯ

Resultado de la investigación: Article

Resumen

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.
Título traducido de la contribuciónOn the application of the residual method for the correction of inconsistent problems of convex programming
Idioma originalRussian
Páginas (desde-hasta)268-276
Número de páginas9
PublicaciónТруды института математики и механики УрО РАН
Volumen20
N.º2
EstadoPublished - 2014

GRNTI

  • 27.00.00 MATHEMATICS

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  • VAK List

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