The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F15%3A00430466" target="_blank" >RIV/67985807:_____/15:00430466 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11160/15:10312543
Result on the web
<a href="http://dx.doi.org/10.1007/s11075-014-9891-3" target="_blank" >http://dx.doi.org/10.1007/s11075-014-9891-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11075-014-9891-3" target="_blank" >10.1007/s11075-014-9891-3</a>

Result language
angličtina
Original language name
The Role Eigenvalues Play in Forming GMRES Residual Norms with Non-Normal Matrices
Original language description
In this paper we give explicit expressions for the norms of the residual vectors generated by the GMRES algorithm applied to a non-normal matrix. They involve the right-hand side of the linear system, the eigenvalues, the eigenvectors and, in the non-diagonalizable case, the principal vectors. They give a complete description of how eigenvalues contribute in forming residual norms and offer insight in what quantities can prevent GMRES from being governed by eigenvalues.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GA13-06684S" target="_blank" >GA13-06684S: Iterative Methods in Computational Mathematics: Analysis, Preconditioning, and Applications</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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