Eventually nonnegative matrices are similar to seminonnegative matrices.

DOI10.1016/j.laa.2003.11.021zbMath1052.15017OpenAlexW1989423797MaRDI QIDQ1430385

Sarah Carnochan Naqvi, Judith Joanne Mcdonald

Publication date: 27 May 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.11.021

zbMATH Keywords

Jordan formirreducible matricesEventually nonnegative matricesHeight characteristicIndex of cyclicityLevel characteristicSeminonnegative matrices

Mathematics Subject Classification ID

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

Related Items (10)

Jordan chains of \(h\)-cyclic matrices ⋮ Matrix roots of imprimitive irreducible nonnegative matrices ⋮ Iterative Method for Linear System with Coefficient Matrix as an $$M_\vee $$ M ∨ -matrix ⋮ Towards a Perron-Frobenius theory for eventually positive operators ⋮ Inverses of \(M\)-type matrices created with irreducible eventually nonnegative matrices ⋮ 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 eventual non-negativity and positivity for the weighted sum of powers of matrices

Cites Work

• Unnamed Item
• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• On an inverse problem for nonnegative and eventually nonnegative matrices
• A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices.
• The combinatorial structure of generalized eigenspaces -- from nonnegative matrices to general matrices
• On the Jordan form of an irreducible matrix with eventually non-negative powers
• The combinatorial structure of eventually nonnegative matrices

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