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Type the title of your paper here mathematical properties of n×n nonnegative matrix: case of irreducible Leslie matrix by Carnia, E; Anggriani, N; Gustyana, M; Supriatna, A K is a Physics and Astronomy article available to read on EtoBox.

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## Abstract 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.

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Author

Carnia, E; Anggriani, N; Gustyana, M; Supriatna, A K

Publisher

Institute of Physics; IOP Publishing (ISSN 1742-6588)

Published

2019

Language

EN

Field

Physics and Astronomy (Physical Sciences)