Abadie's Constraint Qualification, Hoffman's Error Bounds, and Hausdorff Strong Unicity

✍ Scribed by M Bartelt; W Li

• Book ID: 102579439
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 148 KB
• Volume: 97
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1997.3243

✦ Synopsis

The main goal of this paper is to show the connection between optimization and best approximation when studying vector-valued functions defined on a finite set. For example, Hausdorff strong unicity for best approximation is shown to be equivalent to Abadie's constraint qualification for the associated convex quadratic feasibility problem.