基于变分原理选择法的一种改进

An Improvement Based on Variational Principle Selection Method

在反问题的第一类算子方程中,为了解决应用变分原理选择法在解空间不连续性,未能逆算子在解空间连续的这一问题,提出了一种基于泛函延拓定理、应用其稠密子集来对逆算子连续定理进行改进,并给出其理论的证明。一个例子说明了这种方法的有效性。

In order to solve the problem that the convergence rate of the variational principle selection method is not high and the exact bound of the convergence field can not be reached in the inverse operator of the first kind of operator equations,a functional extension theorem is proposed to apply Dense subsets to improve the inverse operator continuous theorem,and give its proof of the theory.One example illustrates the effectiveness of this method.