Bounds on the base of primitive nearly reducible sign pattern matrices

DOI10.1016/j.laa.2006.03.024zbMath1161.15301OpenAlexW2089621182MaRDI QIDQ855578

Lihua You, Bo Lian Liu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.024

zbMATH Keywords

digraphboundbasematrixsign patternprimitivenearly reducible

Mathematics Subject Classification ID

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

Related Items (17)

The scrambling index set of primitive minimally strong digraphs ⋮ A survey on bases of sign pattern matrices ⋮ The generalized \(\tau \)-bases of primitive non-powerful signed digraphs with \(d\) loops ⋮ The base of a primitive, nonpowerful sign pattern with exactly \(d\) nonzero diagonal entries ⋮ The generalized competition indices of primitive minimally strong digraphs ⋮ Primitive zero-symmetric sign pattern matrices with zero diagonal attaining the maximum base ⋮ Imprimitive non-powerful sign pattern matrices with maximum base ⋮ Primitive non-powerful sign pattern matrices with base 2 ⋮ Bounds on the \(k\)th multi-\(g\) base index of nearly reducible sign pattern matrices ⋮ The base sets of primitive zero-symmetric sign pattern matrices ⋮ Bounds on the local bases of primitive, non-powerful, minimally strong signed digraphs ⋮ Primitive zero-symmetric sign pattern matrices with the maximum base ⋮ The \(k\)th lower bases of primitive non-powerful signed digraphs ⋮ The base sets of quasi-primitive zero-symmetric sign pattern matrices with zero trace ⋮ Thekth upper and lower bases of primitive nonpowerful minimally strong signed digraphs ⋮ Bounds on the local bases of primitive nonpowerful nearly reducible sign patterns ⋮ The \(k\)th upper bases of primitive non-powerful signed digraphs

Cites Work

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• On the exponent of a primitive digraph
• Irreducible sign \(k\)-potent sign pattern matrices
• Reducible sign \(k\)-potent sign pattern matrices
• On the period and base of a sign pattern matrix
• Bounds on the bases of irreducible generalized sign pattern matrices
• On the Exponent of a Primitive, Nearly Reducible Matrix
• On the Exponent of a Primitive, Nearly Reducible Matrix. II
• On a Linear Diophantine Problem

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