Theory of Error Bounds with Applications
Date/Time: Sunday 10:30-12:00
Cluster: Nonlinear Programming
Room: Colonnade E
Chair: Zhi-Quan Luo
Chair Address: McMaster Univ., Dept. of Elect. & Comp. Eng., Comm. Res. Lab., Rm. 225, Hamilton, Ontario, L8S 4K1 , Canada
On the Extension of Frank-Wolfe Theorem to the Quadratically Constrained Quadratic Program Shuzhong Zhang, Zhi-Quan Luo --- Erasmus Univer. Rotterdam, Econometric Inst., PO Box 1738, Rotterdam, 3000 DR , The Netherlands (firstname.lastname@example.org)
- We study the continuity of the feasible set defined by convex¨ quadratic inequalities and show that if a convex quadratic function¨ is bounded below over such set then its infimum is always attained.¨ We also present some results on the nonconvex case.
New Characterizations of the Existence of an Error Bound for a Convex Inequality System Sien Deng --- Northern IL Univ., Dept. of Math., DeKalb, IL 60625 , (email@example.com)
- We discuss various new characterizations of the existence of a¨ global/local error bound for a convex inequality system as well as¨ their applications.
Global Error Bounds & Metric Regularity in Optimization Wu Li --- Old Dominion Univ., Dept. of Math. & Stats., Norfolk, VA 23529 , (firstname.lastname@example.org)
- Metric regularity can be considered as a special form of local error¨ bounds. However, under certain conditions metric regularity is¨ equivalent to global error bounds. We establish a relation between¨ weak Slater condition and an estimate of the distance from a point¨ to the intersection of finitely many convex sets.
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