An exact schur complement method for time-harmonic optimal control problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F22%3A00556767" target="_blank" >RIV/68145535:_____/22:00556767 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27240/22:10252143
Result on the web
<a href="https://link.springer.com/chapter/10.1007/978-3-030-97549-4_10" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-97549-4_10</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-97549-4_10" target="_blank" >10.1007/978-3-030-97549-4_10</a>

Result language
angličtina
Original language name
An exact schur complement method for time-harmonic optimal control problems
Original language description
By use of Fourier time series expansions in an angular frequency variable, time-harmonic optimal control problems constrained by a linear differential equation decouples for the different frequencies. Hence, for the analysis of a solution method one can consider the frequency as a parameter. There are three variables to be determined, the state solution, the control variable, and the adjoint variable. The first order optimality conditions lead to a three-by-three block matrix system where the adjoint optimality variable can be eliminated. For the so arising two-by-two block system, in this paper we study a factorization method involving an exact Schur complement method and illustrate the performance of an inexact version of it
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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