How many negative entries can \(A^ 2\) have?

DOI10.1016/S0024-3795(96)00510-1zbMath0869.15006MaRDI QIDQ677903

Carolyn A. Eschenbach, Zhongshan Li

Publication date: 16 April 1997

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

zbMATH Keywords

bipartite structuresign pattern of matrix

Mathematics Subject Classification ID

Canonical forms, reductions, classification (15A21)

Related Items (1)

Square nearly nonpositive sign pattern matrices

Cites Work

• Unnamed Item
• Some sign patterns that allow a real inverse pair \(B\) and \(B^{-1}\)
• Sign patterns that require repeated eigenvalues
• The graphs of the unambiguous entries in the product of two \((+,-)\) sign pattern matrices
• Matrix Analysis
• Sign patterns that require real, nonreal or pure imaginary eigenvalues
• On Elements with Negative Squares
• Sign patterns that require exactly one real eigenvalue and patterns that requiren−1 nonreal eigenvalues

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