Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F18%3A00495405" target="_blank" >RIV/68145535:_____/18:00495405 - isvavai.cz</a>
Result on the web
<a href="https://www.tandfonline.com/doi/full/10.1080/01630563.2018.1431928?scroll=top&needAccess=true" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/01630563.2018.1431928?scroll=top&needAccess=true</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/01630563.2018.1431928" target="_blank" >10.1080/01630563.2018.1431928</a>

Result language
angličtina
Original language name
Superlinear Convergence of the GMRES for PDE-Constrained Optimization Problems
Original language description
Optimal control problems for PDEs arise in many important applications. A main step in the solution process is the solution of the arising linear system, where the crucial point is usually finding a proper preconditioner. We propose both proper block diagonal and more involved preconditioners, and derive mesh independent superlinear convergence of the preconditioned GMRES iterations based on a compact perturbation property of the underlying operators.
Czech name
—
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
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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