A new method for computing a p-solution to parametric interval linear systems with affine-linear and nonlinear dependencies
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365649" target="_blank" >RIV/00216208:11320/17:10365649 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10543-017-0679-4" target="_blank" >http://dx.doi.org/10.1007/s10543-017-0679-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10543-017-0679-4" target="_blank" >10.1007/s10543-017-0679-4</a>
Alternative languages
Result language
angličtina
Original language name
A new method for computing a p-solution to parametric interval linear systems with affine-linear and nonlinear dependencies
Original language description
We propose a new approach to computing a parametric solution (the so-called p-solution) to parametric interval linear systems. Solving such system is an important part of many scientific and engineering problems involving uncertainties. The parametric solution has many useful properties. It permits to compute an outer solution, an inner estimate of the interval hull solution, and intervals containing the lower and upper bounds of the interval hull solution. It can also be employed for solving various constrained optimisation problems related to the parametric interval linear system. The proposed approach improves both outer and inner bounds for the parametric solution set. In this respect, the new approach is competitive to most of the existing methods for solving parametric interval linear systems. Improved bounds on the parametric solution set guarantees improved bounds for the solutions of related optimisation problems.
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
50201 - Economic Theory
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
BIT Numerical Mathematics
ISSN
0006-3835
e-ISSN
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Volume of the periodical
57
Issue of the periodical within the volume
4
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
28
Pages from-to
1109-1136
UT code for WoS article
000415733300008
EID of the result in the Scopus database
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