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An Inexact Spingarn’s Partial Inverse Method with Applications to Operator Splitting and Composite Optimization
ALAVES, Maicon Marques - Personal Name
LIMA, Samara Costa - Personal Name
We propose and study the iteration-complexity of an inexact version of the Spingarn’s partial inverse method. Its complexity analysis is performed by viewing it in the framework of the hybrid proximal extragradient method, for which point-wise and ergodic iteration-complexity has been established recently by Monteiro and Svaiter. As applications, we propose and analyze the iteration-complexity of an inex-act operator splitting algorithm—which generalizes the original Spingarn’s splitting method—and of a parallel forward–backward algorithm for multi-term composite convex optimization.
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| EB00000003228K | Available |
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NONE
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Content Type
E-Jurnal
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Subject(s)
Inexact proximal point methods
Partial inverse method
Splitting
Composite optimization
Forward–backward
Parallel
Iteration-complexity
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Statement of Responsibility
Maicon Marques Alves , Samara Costa Lima
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