Type the title of your paper here mathematical properties of n×n nonnegative matrix: case of irreducible Leslie matrix

Perron-Frobenius theorem describe five properties of irreducible nonnegative matrix. Leslie matrix is one of nonnegative matrix. Leslie matrix that used in this research is limited to the irreducible Leslie matrix. In previous research has been proven that irreducible Leslie matrix satisfies three p...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-11, Vol.1280 (2), p.22048
Main Authors: Carnia, E, Anggriani, N, Gustyana, M, Supriatna, A K
Format: Article
Language:English
Subjects:
Mathematical analysis
Physics
Theorems
Online Access:Get full text
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Summary:Perron-Frobenius theorem describe five properties of irreducible nonnegative matrix. Leslie matrix is one of nonnegative matrix. Leslie matrix that used in this research is limited to the irreducible Leslie matrix. In previous research has been proven that irreducible Leslie matrix satisfies three properties in Perron-Frobenius theorem by spectral radius. This research completed the previous research, proving that irreducible Leslie matrix has a unique Perron vector and satisfies Collatz Wielandt formula. Leslie matrix is a primitive matrix. It is used to calculate the number of populations in the future. Growth of population is interpreted by value spectral radius of Leslie matrix.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1280/2/022048