This review proposes a proximal algorithm for difference of two monotone operators in finite dimensional real Hilbert space. Our route begins with reviewing some properties of DC (difference of convex functions) programming and DCA (DC algorithms). Next, we recall some main results about a proximal point algorithm for DC programming.
Ramazannejad, M., Alimohammady, M., Cattani, C., On Algorithms for Difference of Monotone Operators, in Prof. Dr.Nicholas J.Daras And Themistocles M.Rassias From Springe, P. D. J. A. T. M. F. S. (ed.), 154, Springer, Cham 2019: <<SPRINGER OPTIMIZATION AND ITS APPLICATIONS>>, 154 459- 479. 10.1007/978-3-030-31339-5_17 [https://hdl.handle.net/10807/325317]
On Algorithms for Difference of Monotone Operators
Ramazannejad, Maede;
2019
Abstract
This review proposes a proximal algorithm for difference of two monotone operators in finite dimensional real Hilbert space. Our route begins with reviewing some properties of DC (difference of convex functions) programming and DCA (DC algorithms). Next, we recall some main results about a proximal point algorithm for DC programming.
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