Interval matrices: Regularity generates singularity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F18%3A00482441" target="_blank" >RIV/67985807:_____/18:00482441 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.laa.2017.11.020" target="_blank" >http://dx.doi.org/10.1016/j.laa.2017.11.020</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.laa.2017.11.020" target="_blank" >10.1016/j.laa.2017.11.020</a>
Alternative languages
Result language
angličtina
Original language name
Interval matrices: Regularity generates singularity
Original language description
It is proved that regularity of an interval matrix implies singularity of four related interval matrices. The result is used to prove that for each nonsingular point matrix A, either A or A^-1 can be brought to a singular matrix by perturbing only the diagonal entries by an amount of at most 1 each. As a consequence, the notion of a diagonally singularizable matrix is introduced.
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
10102 - Applied mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Linear Algebra and Its Applications
ISSN
0024-3795
e-ISSN
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Volume of the periodical
540
Issue of the periodical within the volume
1 March
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
149-159
UT code for WoS article
000424178300009
EID of the result in the Scopus database
2-s2.0-85037160769