Some nilpotent, tridiagonal matrices with a special sign pattern

DOI10.1016/J.LAA.2011.07.001zbMath1243.15019OpenAlexW1963919708MaRDI QIDQ417539

J. Herrera, H. S. Yoon

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.laa.2011.07.001

zbMATH Keywords

spectrumcharacteristic polynomialtridiagonal matrixnilpotent matrixChebyshev polynomialsign patternspectrally arbitrary

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Toeplitz, Cauchy, and related matrices (15B05) Sign pattern matrices (15B35)

Related Items (3)

Sign Pattern Matrices ⋮ A proof of the \(T_n\) conjecture: Centralizers, Jacobians and spectrally arbitrary sign patterns ⋮ Spectrally arbitrary pattern extensions

Cites Work

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• Allow problems concerning spectral properties of sign pattern matrices: a survey
• Low rank perturbations and the spectrum of a tridiagonal sign pattern.
• Characterization and properties of matrices with generalized symmetry or skew symmetry.
• Spectrally arbitrary patterns

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