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arXiv · 2006.04860

Resolvents and Yosida approximations of displacement mappings of isometries

Salihah Alwadani·Heinz H. Bauschke·Julian P. Revalski·Xianfu Wang
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Abstract

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.

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Salihah Alwadani, Heinz H. Bauschke, Julian P. Revalski, Xianfu Wang. 2020-06-08. Resolvents and Yosida approximations of displacement mappings of isometries. https://arxiv.org/abs/2006.04860

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