Proximal-Like Algorithm Using the Quasi D-Function for Convex Second-Order Cone Programming
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DOI: 10.1007/s10957-008-9380-8
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References listed on IDEAS
- R. T. Rockafellar, 1976. "Augmented Lagrangians and Applications of the Proximal Point Algorithm in Convex Programming," Mathematics of Operations Research, INFORMS, vol. 1(2), pages 97-116, May.
- Marc Teboulle, 1992. "Entropic Proximal Mappings with Applications to Nonlinear Programming," Mathematics of Operations Research, INFORMS, vol. 17(3), pages 670-690, August.
- Jonathan Eckstein, 1993. "Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming," Mathematics of Operations Research, INFORMS, vol. 18(1), pages 202-226, February.
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Keywords
Bregman functions; Quasi D-functions; Proximal-like methods; Convex second-order cone programming;All these keywords.
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