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| On the Necessary and Sufficient Condition of the Local Optimal Solution ofQuadratic Programming |
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Citation： |
Liu Jiaquan,Song Tiantai,Du Dingzhu.On the Necessary and Sufficient Condition of the Local Optimal Solution ofQuadratic Programming[J].Chinese Annals of Mathematics B,1982,3(5):625~630 |
| Page view： 810
Net amount： 971 |
Authors： |
Liu Jiaquan; Song Tiantai;Du Dingzhu |
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| Abstract： |
In this paper a necessary and sufficient aptimality condition of quadratic programming
is giver. The main result is Theorem 3.1. It is shown that a point x_0 is local
optimal solution of quadratic programming (1, l)if and only if x_0 is a Kuhn-Tu
cker point and h^Tch is non-negative for every point im{h|a^T_jh=0,j\in J^*,a^T_jh \leq 0,j\in J_1\J^*}. |
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