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

Abstract : 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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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-02554807
Contributor : Laurence Halpern <>
Submitted on : Friday, April 30, 2021 - 6:58:07 PM
Last modification on : Wednesday, June 2, 2021 - 3:28:29 AM

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  • 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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