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., Springer Optimization and Its Applications, in Rassias, T., Pardalos, P. (ed.), Mathematical Analysis and Applications, Springer, New York 2020: <<SPRINGER OPTIMIZATION AND ITS APPLICATIONS>>, 159 381- 401. 10.1007/978-3-030-44625-3_21 [http://hdl.handle.net/10807/201642]
Springer Optimization and Its Applications
Ramazannejad, Maede;
2020
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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