Inverses of \(M\)-type matrices created with irreducible eventually nonnegative matrices

DOI10.1016/j.laa.2006.06.029zbMath1116.15008OpenAlexW1999466172MaRDI QIDQ865431

Hien Thu Le, Judith Joanne Mcdonald

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.06.029

zbMATH Keywords

nonnegative matrixM-matrixeventually nonnegative matricesirreducible \(M\)-matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45)

Related Items (4)

Unnamed Item ⋮ Generalizations of \(M\)-matrices which may not have a nonnegative inverse ⋮ Singular \(M\)-matrices which may not have a nonnegative generalized inverse ⋮ On complex power nonnegative matrices

Cites Work

• 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.
• Eventually nonnegative matrices are similar to seminonnegative matrices.
• On the Jordan form of an irreducible matrix with eventually non-negative powers
• Constructing symmetric nonnegative matrices
• The combinatorial structure of eventually nonnegative matrices
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