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세미나/워크샵 게시글의 상세 화면
제목 160830_15:00_Error bounds for parametric polynomial systems and applications.
분류 세미나
작성자 빅데이터수리해석양성사업단 등록일 2016-08-28 조회수 471

아래와 같이 빅데이터 관련 특강을 개최하오니 많은 참석 부탁드립니다.


일시: 8월 30일 화요일 오후 3시~4시


장소: 32356A


연사:  Pham Tien Son




+ The second talk:

Title: Error bounds for parametric polynomial systems and applications.

Abstract: In this talk we address parametric inequality systems described by polynomial functions in finite dimensions, where state-dependent infinite parameter sets are given by finitely many polynomial inequalities and equalities. Such systems can be viewed, in particular, as solution sets to problems of generalized semi-infinite programming with polynomial data. Exploiting the imposed polynomial structure together with powerful tools of variational analysis and semialgebraic geometry, we establish a far-going extension of the \L ojasiewicz gradient inequality to the general nonsmooth class of supremum marginal functions as well as higher-order (H\"older type) local error bounds results with explicitly calculated exponents. The obtained results are applied to higher-order quantitative stability analysis for various classes of optimization problems including generalized semi-infinite programming with polynomial data, optimization of real polynomials under polynomial matrix inequality constraints. We also provide explicit convergence rate estimates for the asymptotic convergence of trajectories of subgradient dynamical systems in semialgebraic settings.

세미나/워크샵 게시판의 이전글 다음글
이전글 이전 글이 없습니다.
다음글 160830_11:00_Newton polyhedra, non-degeneracy conditions, and polynomial optimization