大规模优化及其在上限定理有限元中的应用
Large-scale optimization and its application to upper bound theorem using kinematical element method
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摘要: 通过引进变量将原问题变为标准的内点法问题 ,将原问题的可行域仿射为单位球体区域 ,在仿射后的区域内向目标函数减少最快的方向移动 ,寻求问题的最优解 ,最后进行逆变换 ,将得到的解换回到原可行域。Abstract: This paper transforms the original problem into standard form adopted for interior point approach using slack variables. Then feasible range of original problem is converted to unit spheroid range, and converted optimal solution is obtained by moving converted objective function along first order decent direction in converted range. Finally, inverse conversion is employed to obtain optimal result.