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Approximations to a Quadratic Programming with Quadratic Constraints and Their Applications

机译:具有二次约束的二次规划的逼近及其应用

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Using algebraic transformation, for a quadratic programming with a special form of quadratic constraints, the feasible region of its solutions can be expressed as a bounded closed domain based on the meaning of geometry. Therefore, if the feasible region is appropriately subdivided, the approximation solution can be found by the exhaustive method. When the dimension is 2 and 3, the error estimations have been discussed. We also apply this method to simulate the randomly distributed regions with a large number of ellipses or ellipsoids. Numerical experiments show that the proposed algorithm is efficient and satisfies the practical requirements of engineering computations.
机译:使用代数变换,对于具有特殊形式的二次约束的二次编程,其解的可行区域可以根据几何意义表示为有界封闭域。因此,如果适当地细分可行区域,则可以通过穷举法找到近似解。当尺寸为2和3时,已经讨论了误差估计。我们还应用此方法来模拟具有大量椭圆或椭球的随机分布区域。数值实验表明,该算法是有效的,能够满足工程计算的实际要求。

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