NEW OPERATOR AND METHOD FOR SOLVING REAL PRECONDITIONED INTERVAL LINEAR EQUATIONS
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10282489" target="_blank" >RIV/00216208:11320/14:10282489 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1137/130914358" target="_blank" >http://dx.doi.org/10.1137/130914358</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/130914358" target="_blank" >10.1137/130914358</a>
Alternative languages
Result language
angličtina
Original language name
NEW OPERATOR AND METHOD FOR SOLVING REAL PRECONDITIONED INTERVAL LINEAR EQUATIONS
Original language description
We deal with real preconditioned interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel operator. Also, based on the new operator and properties of well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach outperforms some classical methods with respect to both time and sharpness of enclosures.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/GBP202%2F12%2FG061" target="_blank" >GBP202/12/G061: Center of excellence - Institute for theoretical computer science (CE-ITI)</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
SIAM Journal on Numerical Analysis
ISSN
0036-1429
e-ISSN
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Volume of the periodical
52
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
194-206
UT code for WoS article
000333419300011
EID of the result in the Scopus database
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