An Exact and Approximate 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_____%2F25%3A00605609" target="_blank" >RIV/68145535:_____/25:00605609 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/nla.70004" target="_blank" >https://doi.org/10.1002/nla.70004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.70004" target="_blank" >10.1002/nla.70004</a>

Result language
angličtina
Original language name
An Exact and Approximate Schur Complement Method for Time-Harmonic Optimal Control Problems
Original language description
Time-harmonic control problems, constrained by a linear differential equation, can be solved efficiently by utilizing a Fourier time series expansion in the angular frequency variable. Then the optimal solution consists of a series of complex variable space discretization equations, which are uncoupled with respect to the different frequencies. Hence, it suffices to consider a single equation with the angular frequency as a parameter. We consider here methods to solve the so-arising linear system of equations and describe, analyze and test the performance of two novel approaches based on its exact and approximate Schur complement. The performance of the methods is tested and compared with another existing method.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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