Perron Vectors of an Irreducible Nonnegative Interval Matrix

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F06%3A00041655" target="_blank" >RIV/67985807:_____/06:00041655 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Perron Vectors of an Irreducible Nonnegative Interval Matrix
Original language description
As is well known, an irreducible nonnegative matrix possesses a uniquely determined Perron vector. As the main result of this article we give a description of the set of Perron vectors of all the matrices contained in an irreducible nonnegative intervalmatrix A. This result is then applied to show that there exists a subset A(*) of A parameterized by n parameters (instead of n(2) ones in the description of A) such that for each A is an element of A there exists a matrix A is an element of A(*) having the same spectral radius and the same Perron vector as A.
Czech name
Perronovy vektory ireducibilní nezáporné intervalové matice
Czech description
Je podán popis množiny Perronových vektorů všech matic obsažených v dané ireducibilní nezáporné intervalové matici.

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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Project
<a href="/en/project/1ET400300415" target="_blank" >1ET400300415: Modelling and simulation of complex technical problems:effective numerical algorithms and parallel implementation using new information technologie</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2006
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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