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The penalty method is a popular method for solving constrained optimization problems,which can change the constrained optimization to the unconstrained optimization.With the integral-level set method,a new approach was proposed,which i sbriefer than the penalty method,to achivev the unconstrained optimization and a nonlinear equality.By studying the properties of the function.a level-value estimate algorithm and an implementation algorithm were given by means of the uniform distribution of the good point set. 相似文献
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俞武扬 《上海大学学报(英文版)》2010,14(6):437-441
It is shown that a convex body has minimal dual p-surface area among its affine transformations of the same volume if and only if its dual p-surface area measure is isotropic. A double-sided estimate for the (n-1)-dimensional volume of the intersection of a dual p-surface isotropic convex body in terms of its affine invariant dual p-surface quantity is given. Furthermore, the dual p-isopermetric inequality is obtained. 相似文献
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