Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365247" target="_blank" >RIV/00216208:11320/17:10365247 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.apm.2017.05.010" target="_blank" >http://dx.doi.org/10.1016/j.apm.2017.05.010</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.apm.2017.05.010" target="_blank" >10.1016/j.apm.2017.05.010</a>
Alternative languages
Result language
angličtina
Original language name
Formal solution of an interval system of linear equations with an application in static responses of structures with interval forces
Original language description
We are concerned with the so called formal solution of an interval system of linear equations. We focus on the case where the coefficient matrix is deterministic (real) and the right-hand side is an interval vector. We show that the set of formal solutions represents a convex polyhedral set. We propose new properties of the formal solution related to its existence, uniqueness and robustness. As particular classes of problems we investigate also the situation where the coefficient matrix is an M-matrix or H-matrix. Example problems related to the structures, such as 6-bar truss and a rectangular sheet, are solved to illustrate the computational aspects of the methods.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA13-10660S" target="_blank" >GA13-10660S: Interval methods for optimization problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematical Modelling
ISSN
0307-904X
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
October
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
105-117
UT code for WoS article
000411534700007
EID of the result in the Scopus database
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