| Autor: |
Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu |
| Zdroj: |
Set-Valued & Variational Analysis; Sep2021, Vol. 29 Issue 3, p721-733, 13p |
| Abstrakt: |
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 Moore-Penrose) inverses. We illustrate our results by considering certain rational rotators and circular shift operators. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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