Factorized Approximate Inverses With Adaptive Dropping

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00456004" target="_blank" >RIV/67985807:_____/16:00456004 - isvavai.cz</a>
Alternative codes found
RIV/46747885:24220/16:00003924 RIV/00216208:11320/16:10331031
Result on the web
<a href="http://dx.doi.org/10.1137/15M1030315" target="_blank" >http://dx.doi.org/10.1137/15M1030315</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/15M1030315" target="_blank" >10.1137/15M1030315</a>

Result language
angličtina
Original language name
Factorized Approximate Inverses With Adaptive Dropping
Original language description
This paper presents a new approach to constructing factorized approximate inverses for a symmetric and positive definite matrix $A$. The proposed strategy is based on adaptive dropping that reflects the quality of preserving the relation $UZ = I$ between the direct factor $U$ and the inverse factor $Z$ satisfying $A = U^TU$ and $A^{-1}=ZZ^T$. An important part of the approach is column pivoting, used to minimize the growth of the condition number of leading principal submatrices of $U$ that occurs explicitly in the dropping criterion. Numerical experiments demonstrate that the resulting approximate inverse factorization is robust as a preconditioner for solving large and sparse systems of linear equations.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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