A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices.

DOI10.1016/S0024-3795(03)00534-2zbMath1046.15012MaRDI QIDQ1410722

Boris G. Zaslavsky, Judith Joanne Mcdonald

Publication date: 15 October 2003

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

zbMATH Keywords

Frobenius normal formeventually nonnegative matricesirreducible matricesWeyr characteristicJordan canonical formslevel characteristicsemi-nonnegative matrix

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items (14)

Jordan chains of \(h\)-cyclic matrices ⋮ Matrix roots of imprimitive irreducible nonnegative matrices ⋮ Inverses of \(M\)-type matrices created with irreducible eventually nonnegative matrices ⋮ Eventual cone invariance revisited ⋮ On the Perron-Frobenius theory for complex matrices ⋮ Eventually nonnegative matrices are similar to seminonnegative matrices. ⋮ 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 ⋮ On the Block Structure and Frobenius Normal Form of Powers of Matrices ⋮ On Perron-Frobenius property of matrices having some negative entries ⋮ On eventual non-negativity and positivity for the weighted sum of powers of matrices ⋮ The peripheral spectrum of a nonnegative matrix

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