TY - JOUR AU - Olga Kostyukova AU - Tatiana Tchemisova AU - Maria Kurdina PY - 2017/06/01 Y2 - 2024/03/29 TI - On Optimal Properties of Special Nonlinear and Semi-infinite Problems Arising in Parametric Optimization JF - Statistics, Optimization & Information Computing JA - Stat., optim. inf. comput. VL - 5 IS - 2 SE - Research Articles DO - 10.19139/soic.v5i2.303 UR - http://iapress.org/index.php/soic/article/view/soic170602 AB - We consider a  special nonlinear Programming problem  depending on integer parameters. For some values of these parameters (the "right'' ones), this problem satisfies certain properties used in study of differential properties of optimal solutions in parametric Semi-Infinite Programming. We deduce the conditions guaranteing the existence of the "right'' parameters values, and propose an algorithm for their determination. The conditions and the algorithm are essentially based on properties of a related linear-quadratic semi-infinite problem. ER -