On the Necessary and Sufficient Condition of the Local Optimal Solution ofQuadratic Programming |
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| Authors: | Liu Jiaquan Song Tiantai Du Dingzhu |
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| Affiliation: | Graduate School,University of Science and Technology of China,Graduate School,University of Science and Technology of China and Graduate School,University of Science and Technology of China |
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| Abstract: | In this paper a necessary and sufficient aptimality condition of quadratic programmingis giver. The main result is Theorem 3.1. It is shown that a point x_0 is localoptimal solution of quadratic programming (1, l)if and only if x_0 is a Kuhn-Tucker point and h^Tch is non-negative for every point im{h|a^T_jh=0,jin J^*,a^T_jh leq 0,jin J_1J^*}. |
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