Computing Enclosures of Overdetermined Interval Linear Systems
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F13%3A10173087" target="_blank" >RIV/00216208:11320/13:10173087 - isvavai.cz</a>
Result on the web
<a href="http://interval.louisiana.edu/reliable-computing-journal/volume-19/reliable-computing-19-pp-142-155.pdf" target="_blank" >http://interval.louisiana.edu/reliable-computing-journal/volume-19/reliable-computing-19-pp-142-155.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Computing Enclosures of Overdetermined Interval Linear Systems
Original language description
This work considers special types of interval linear systems - overdetermined systems, systems consisting of more equations than variables. The solution set of an interval linear system is a collection of all solutions of all instances of an interval system. By the instance, we mean a point real system that emerges when we independently choose a real number from each interval coefficient of the interval system. Enclosing the solution set of these systems is in some ways more difficult than for square systems. This work presents various methods for computing enclosures of overdetermined interval linear systems. We would like to present them in an understandable way even for nonspecialists in the field of linear systems. The second goal is a numerical comparison of all mentioned methods on random interval linear systems regarding tightness of enclosures, computation times, and other special properties of methods.
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
BD - Information theory
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Reliable Computing [online]
ISSN
1573-1340
e-ISSN
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Volume of the periodical
19
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
14
Pages from-to
142-155
UT code for WoS article
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EID of the result in the Scopus database
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