Generalized Totally Nonnegative Matrices.
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F02%3A06020026" target="_blank" >RIV/67985807:_____/02:06020026 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Generalized Totally Nonnegative Matrices.
Original language description
We define a new class of generalized totally nonnegative matrices, shortly GTN-matrices, over a noncommutative ring with identity and a positive part. The class of GTN-matrices is closed under multiplication, every submatrix of a GTN-matrix is a GTN-matrix as well. We also define a standard form of a GTN-matrix. We then study the invertible GTN-matrices of a fixed order and classify them; the classes form a partially ordered set, can be (noncommutatively) multiplied and multiplication preserves ordering.
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
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/IAA1030003" target="_blank" >IAA1030003: Polynomial and structured matrices</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
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
345
Issue of the periodical within the volume
N/A
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
9-28
UT code for WoS article
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EID of the result in the Scopus database
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