Error Bounds of Constrained Quadratic Functions and Piecewise Affine Inequality Systems |
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| Authors: | KF Ng XY Zheng |
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| Institution: | (1) Department of Mathematics, Chinese University of Hong Kong, Shatin, NT, Hong Kong |
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| Abstract: | We consider the error bounds for a piecewise affine inequality system and present a necessary and sufficient condition for this system to have an error bound, which generalizes the Hoffman result. Moreover, we study the error bounds of the system determined by a quadratic function and an abstract constraint. |
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| Keywords: | Error bounds piecewise affine functions quadratic functions constraints |
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