We propose a convergence analysis of a new decomposition method to solve structured optimization problems. The proposed scheme is based on a class of modified Lagrangians combined with the allocation of resources decomposition algorithm. Under mild assumptions, we show that the method generates convergent primal-dual sequences.
机构:
Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Yang, XQ
Huang, XX
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机构:Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
机构:
Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China
Harbin Normal Univ, Sch Math & Sci, Harbin, Peoples R ChinaHarbin Inst Technol, Dept Math, Harbin 150006, Peoples R China
Kan, Chao
Song, Wen
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Harbin Inst Technol, Dept Math, Harbin 150006, Peoples R China
Harbin Normal Univ, Sch Math & Sci, Harbin, Peoples R ChinaHarbin Inst Technol, Dept Math, Harbin 150006, Peoples R China