论文标题

非平滑变量问题中的亚差异下降法

The Subdifferential Descent Method in a Nonsmooth Variational Problem

论文作者

Fominyh, Alexander

论文摘要

该论文专门针对经典的变异问题,其功能的非平滑积分要最小化。整数应该是可分割的。在某些自然条件下,证明了所考虑的功能的细分性。找到亚分差下降的问题正在解决,并应用了亚分化的下降方法来解决原始问题。示例证明了开发的算法。

The paper is devoted to the classical variational problem with a nonsmooth integrand of the functional to be minimized. The integrand is supposed to be subdifferentiable. Under some natural conditions the subdifferentiability of the functional considered is proved. The problem of finding the subdifferential descent is being solved and the subdifferential descent method is applied to solve the original problem. The algorithm developed is demonstrated by examples.

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