A primal-dual method of partial inverses for composite inclusions

作者：Alghamdi Maryam A; Alotaibi Abdullah; Combettes Patrick L^*; Shahzad Naseer

来源：Optimization Letters, 2014, 8(8): 2271-2284.

DOI：10.1007/s11590-014-0734-x

• Convex optimization
• Duality
• Method of partial inverses
• Monotone operator
• Splitting algorithm

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.

• 出版日期2014-12