论文标题
无限尺寸空间上的最小二乘问题
Total least squares problems on infinite dimensional spaces
论文作者
论文摘要
在这项工作中，我们研究了无限尺寸空间上的加权总和正方形问题。我们表明，在大多数情况下，此问题不接受解决方案（在琐碎的情况下除外），然后我们考虑对该问题进行正则化。我们提出了正规化问题的必要条件。我们还表明，通过将正则最小化问题限制为特殊子集，可以确保解决方案的存在。
In this work we study weighted total least squares problems on infinite dimensional spaces. We show that in most cases this problem does not admit a solution (except in the trivial case) and then, we consider a regularization on the problem. We present necessary conditions for the regularized problem to have a solution. We also show that, by restricting the regularized minimization problem to special subsets, the existence of a solution may be assured.
