Response to Comment on Preconditioning of matrices partitioned in 2 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F13%3A00397045" target="_blank" >RIV/68145535:_____/13:00397045 - isvavai.cz</a>
Result on the web
<a href="http://onlinelibrary.wiley.com/doi/10.1002/nla.816/pdf" target="_blank" >http://onlinelibrary.wiley.com/doi/10.1002/nla.816/pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nla.816" target="_blank" >10.1002/nla.816</a>

Result language
angličtina
Original language name
Response to Comment on Preconditioning of matrices partitioned in 2 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM
Original language description
As has been pointed out in a study by Cao, there is an erroneous omission in the study by Axelsson, Corollary 3.2 and Proposition 3.2, and the authors thank Zhi-hao Cao for pointing this out. We mention, however, that these are side results and do not influence the major result of the paper Preconditioning of matrices partitioned in 2 by 2 block form: Eigenvalue estimates and Schwarz DD for mixed FEM?. In this reply, we give a short background to the relations between inverses of saddle point matrices,thereby providing justified references to previous publications of the topic and present a corrected and extended version of Proposition 3.2. This gives an alternative presentation of the statements in the study by Cao, which might be useful for readers.
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
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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