On the Jordan form of an irreducible matrix with eventually non-negative powers

DOI10.1016/S0024-3795(99)00182-2zbMath0945.15008WikidataQ126439454 ScholiaQ126439454MaRDI QIDQ1970445

Boris G. Zaslavsky, Bit-Shun Tam

Publication date: 21 March 2000

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Jordan formcyclic index\(M\)-cyclic matrixeventually real matrixirreducible eventually non-negative matrixself-conjugate Frobenius collection of elementary Jordan blocks

Mathematics Subject Classification ID

Eigenvalue problems (93B60) Positive matrices and their generalizations; cones of matrices (15B48) Realizations from input-output data (93B15) Canonical forms, reductions, classification (15A21)

Related Items (15)

Jordan chains of \(h\)-cyclic matrices ⋮ Matrix roots of imprimitive irreducible nonnegative matrices ⋮ Eventually and asymptotically positive semigroups on Banach lattices ⋮ Potentially eventually positive star sign patterns ⋮ Towards a Perron-Frobenius theory for eventually positive operators ⋮ Inverses of \(M\)-type matrices created with irreducible eventually nonnegative matrices ⋮ A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices. ⋮ Eventually nonnegative matrices are similar to seminonnegative matrices. ⋮ On matrices with cyclic structure ⋮ Two characterizations of matrices with the Perron-Frobenius property ⋮ Nonnegative and eventually positive matrices ⋮ Matrix roots of eventually positive matrices ⋮ On complex power nonnegative matrices ⋮ A characterization of positive matrices ⋮ On the Block Structure and Frobenius Normal Form of Powers of Matrices

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