On relation between P-matrices and regularity of interval matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10365260" target="_blank" >RIV/00216208:11320/17:10365260 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-49984-0_2" target="_blank" >http://dx.doi.org/10.1007/978-3-319-49984-0_2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-49984-0_2" target="_blank" >10.1007/978-3-319-49984-0_2</a>
Alternative languages
Result language
angličtina
Original language name
On relation between P-matrices and regularity of interval matrices
Original language description
We explore new results between P-matrix property and regularity of interval matrices. In particular, we show that an interval matrix is regular in and only if some special matrices constructed from its center and radius matrices are P-matrices. We also investigate the converse direction. We reduce the problem of checking P-matrix property to regularity of a special interval matrix. Based on this reduction, novel sufficient condition for a P-matrix property is derived, and its strength is inspected. We also state a new observation to interval P-matrices.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
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
Article name in the collection
Applied and Computational Matrix Analysis. MAT-TRIAD, Coimbra, Portugal, September 2015 Selected, Revised Contributions
ISBN
978-3-319-49984-0
ISSN
2194-1009
e-ISSN
neuvedeno
Number of pages
9
Pages from-to
27-35
Publisher name
Springer
Place of publication
Cham
Event location
Coimbra, Portugal
Event date
Sep 7, 2015
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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