Generalized Oscillatory Matrices.
Result description
We define a new class of generalized oscillatory matrices, shortly GO-matrices, over a noncommutative ring with identity and a positive part. Similarly to the classical case, this class consists of square generalized totally nonnegative matrices (GTN-matrices) of which some power is generalized totally positive. Using the previously defined ordering of invertible GTN-matrices, we study, in particular, so called basic GO-matrices which form, in a sense, atoms of this ordering.
Keywords
totally nonnegative matrixring with identityfactorizationbidiagonal matrixoscillatory matrixexponent of positivity
The result's identifiers
Result code in IS VaVaI
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 Oscillatory Matrices.
Original language description
We define a new class of generalized oscillatory matrices, shortly GO-matrices, over a noncommutative ring with identity and a positive part. Similarly to the classical case, this class consists of square generalized totally nonnegative matrices (GTN-matrices) of which some power is generalized totally positive. Using the previously defined ordering of invertible GTN-matrices, we study, in particular, so called basic GO-matrices which form, in a sense, atoms of this ordering.
Czech name
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Czech description
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Classification
Type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2003
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
359
Issue of the periodical within the volume
N/A
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
79-90
UT code for WoS article
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EID of the result in the Scopus database
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Basic information
Result type
Jx - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP
BA - General mathematics
Year of implementation
2003