Improving the Stability and Robustness of Incomplete Symmetric Indefinite Factorization Preconditioners

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F17%3A00474267" target="_blank" >RIV/67985807:_____/17:00474267 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/17:10331042

Result on the web

<a href="http://dx.doi.org/10.1002/nla.2099" target="_blank" >http://dx.doi.org/10.1002/nla.2099</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/nla.2099" target="_blank" >10.1002/nla.2099</a>

Result language

angličtina

Original language name

Improving the Stability and Robustness of Incomplete Symmetric Indefinite Factorization Preconditioners

Original language description

Sparse symmetric indefinite linear systems of equations arise in numerous practical applications. In many situations, an iterative method is the method of choice but a preconditioner is normally required for it to be effective. In this paper, the focus is on a class of incomplete factorization algorithms that can be used to compute preconditioners for symmetric indefinite systems. A limited memory approach is employed that incorporates a number of new ideas with the goal of improving the stability, robustness, and efficiency of the preconditioner. These include the monitoring of stability as the factorization proceeds and the incorporation of pivot modifications when potential instability is observed. Numerical experiments involving test problems arising from a range of real-world applications demonstrate the effectiveness of our approach.

Czech name

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Czech description

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Type

J_imp - 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

<a href="/en/project/GC17-04150J" target="_blank" >GC17-04150J: Reliable two-scale Fourier/finite element-based simulations: Error-control, model reduction, and stochastics</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Numerical Linear Algebra with Applications

ISSN

1070-5325

e-ISSN

—

Volume of the periodical

24

Issue of the periodical within the volume

5

Country of publishing house

GB - UNITED KINGDOM

Number of pages

18

Pages from-to

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UT code for WoS article

000409315100006

EID of the result in the Scopus database

2-s2.0-85017351104