A complex homographic best approximation problem. Application to Optimized Robin-Schwarz algorithms, and optimal control problems - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

A complex homographic best approximation problem. Application to Optimized Robin-Schwarz algorithms, and optimal control problems

Résumé

Homographic complex best approximation has emerged in the last years, as an essential tool for the design of new, performant domain decomposition Robin-Schwarz algorithms. We present and analyse a fully complex problem, introducing a new alternation property. We give operational formulas for the solution, and apply them to a control problem.
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Dates et versions

hal-02554807 , version 1 (26-04-2020)
hal-02554807 , version 2 (30-04-2021)

Identifiants

  • HAL Id : hal-02554807 , version 2

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Bérangère Delourme, Laurence Halpern. A complex homographic best approximation problem. Application to Optimized Robin-Schwarz algorithms, and optimal control problems. 2021. ⟨hal-02554807v2⟩
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