An Algorithm for Splitting Parallel Sums of Linearly Composed Monotone Operators, with Applications to Signal Recovery
type: Dataset
description: We present a new primal-dual splitting algorithm for structured monotone inclusions in Hilbert spaces and analyze its asymptotic behavior. A novelty of our framework, which is motivated by image recovery applications, is to consider inclusions that combine a variety of monotonicity-preserving operations such as sums, linear compositions, parallel sums, and a new notion of parallel composition. The special case of minimization problems is studied in detail, and applications to signal recovery are discussed. Numerical simulations are provided to illustrate the implementation of the algorithm.
landing page: https://hal.science/hal-00825885
keyword: duality
keyword: image-recovery
keyword: infimal-convolution
keyword: infoeu-reposemanticsreport
keyword: mathmath-ocmathematics-mathoptimization-and-control-mathoc
keyword: monotone-operator
keyword: msc-47h05-65k05-90c2
keyword: parallel-composition
keyword: parallel-sum
keyword: proximity-operator
keyword: reports
keyword: splitting-algorithm
issued: 2026-05-11T00:40:15.972911
modified: 2026-05-11T00:40:15.972916
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

An Algorithm for Splitting Parallel Sums of Linearly Composed Monotone Operators, with Applications to Signal Recovery
type: Distribution
format: HTML
access URL: https://hal.science/hal-00825885
issued: 2026-05-11T00:40:15.988982
modified: 2026-05-11T00:40:15.958164