Jordan chains of h-cyclic matrices

Arising from the classification of the matrix-roots of a nonnegative imprimitive irreducible matrix, we present results concerning the Jordan chains of an h-cyclic matrix. We also present ancillary results applicable to nonnegative imprimitive irreducible matrices and demonstrate these results via e...

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Bibliographic Details
Published in:Linear algebra and its applications 2016-06, Vol.498, p.145-159
Main Authors: McDonald, Judith J., Paparella, Pietro
Format: Article
Language:English
Subjects:
Cyclic matrix
Irreducible matrix
Jordan chain
Nonnegative matrix
Perron–Frobenius Theorem
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Summary:Arising from the classification of the matrix-roots of a nonnegative imprimitive irreducible matrix, we present results concerning the Jordan chains of an h-cyclic matrix. We also present ancillary results applicable to nonnegative imprimitive irreducible matrices and demonstrate these results via examples.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2015.02.029