A primal-dual method of partial inverses for composite inclusions

A primal-dual method of partial inverses for composite inclusions

Spingarn’s method of partial inverses has found many applications in nonlinear analysis and in optimization. We show that it can be employed to solve composite monotone inclusions in duality, thus opening a new range of applications for the partial inverse formalism. The versatility of the resulting...

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Veröffentlicht in:Optimization letters 2014-12, Vol.8 (8), p.2271-2284
Hauptverfasser: Alghamdi, Maryam A., Alotaibi, Abdullah, Combettes, Patrick L., Shahzad, Naseer
Format: Artikel
Sprache:eng
Schlagworte:
Computational Intelligence
Mathematics
Mathematics and Statistics
Numerical and Computational Physics
Operations Research/Decision Theory
Optimization
Original Paper
Simulation
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Zusammenfassung:Spingarn’s method of partial inverses has found many applications in nonlinear analysis and in optimization. We show that it can be employed to solve composite monotone inclusions in duality, thus opening a new range of applications for the partial inverse formalism. The versatility of the resulting primal-dual splitting algorithm is illustrated through applications to structured monotone inclusions and optimization.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-014-0734-x