Condition numbers and error bounds in convex programming |
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Authors: | A Coulibaly J -P Crouzeix |
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Institution: | 1. UFR Math.-Info., Université de Cocody, BP 582, Abidjan, 22, Ivory Coast 2. LIMOS, Université Blaise Pascal, 63174, Aubière, France
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Abstract: | After a brief survey on condition numbers for linear systems of equalities, we analyse error bounds for convex functions and convex sets. The canonical representation of a convex set is defined. Other representations of a convex set by a convex function are compared with the canonical representation. Then, condition numbers are introduced for convex sets and their convex representations. |
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