论文标题
异分析位移映射的分解和Yosida近似
Resolvents and Yosida approximations of displacement mappings of isometries
论文作者
论文摘要
最大单调操作员是现代优化的基本对象。单调运算符的主要类别是分差操作员和矩阵，其矩阵具有阳性的半芬矿对称零件。在本文中，我们研究了一类不错的单调操作员：有限顺序的异构体的位移映射。我们为分解，Yosida近似值以及（set值和摩尔肾上腺）的反相提供了明确的公式。我们通过考虑某些理性旋转器和循环转移算子来说明结果。
Maximally monotone operators are fundamental objects in modern optimization. The main classes of monotone operators are subdifferential operators and matrices with a positive semidefinite symmetric part. In this paper, we study a nice class of monotone operators: displacement mappings of isometries of finite order. We derive explicit formulas for resolvents, Yosida approximations, and (set-valued and MoorePenrose) inverses. We illustrate our results by considering certain rational rotators and circular shift operators.
