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A Proximal Multiplier Method for Convex Separable Symmetric Cone Optimization

Published: 08 July 2020 Publication History

Abstract

This work is devoted to the study of a proximal decomposition algorithm for solving convex symmetric cone optimization with separable structures. The algorithm considered is based on a decomposition method and proximal distances. Under suitable assumptions, we prove that each limit point of the primal-dual sequences generated by the algorithm solves the problem. Finally, the global convergence is established.

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O. Sarmiento, E. A. Papa Quiroz, P. R. Oliveira, Optimization, 66, 20 (2017)
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Cited By

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  • (2022)Interior quasi-subgradient method with non-Euclidean distances for constrained quasi-convex optimization problems in hilbert spacesJournal of Global Optimization10.1007/s10898-021-01110-283:2(249-271)Online publication date: 1-Jun-2022

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  1. A Proximal Multiplier Method for Convex Separable Symmetric Cone Optimization

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    ICMSSP '20: Proceedings of the 2020 5th International Conference on Multimedia Systems and Signal Processing
    May 2020
    112 pages
    ISBN:9781450377485
    DOI:10.1145/3404716
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    • Shenzhen University: Shenzhen University

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 08 July 2020

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    Author Tags

    1. Descomposition method
    2. Euclidean Jordan algebra
    3. Proximal distance
    4. Symmetric cone optimization

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    • (2022)Interior quasi-subgradient method with non-Euclidean distances for constrained quasi-convex optimization problems in hilbert spacesJournal of Global Optimization10.1007/s10898-021-01110-283:2(249-271)Online publication date: 1-Jun-2022

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