Low rank perturbations and the spectrum of a tridiagonal sign pattern.

DOI10.1016/S0024-3795(03)00580-9zbMath1033.15004MaRDI QIDQ1414160

Ludwig Elsner, Pauline van den Driessche, D. Dale Olesky

Publication date: 19 November 2003

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

zbMATH Keywords

spectrumtridiagonal matrixinertiasign patternalgebraic multiplicitylow rank perturbation

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (9)

Sign Pattern Matrices ⋮ Potentially nilpotent patterns and the nilpotent-Jacobian method ⋮ Some nilpotent, tridiagonal matrices with a special sign pattern ⋮ A proof of the \(T_n\) conjecture: Centralizers, Jacobians and spectrally arbitrary sign patterns ⋮ Eigenvalues of rank one perturbations of unstructured matrices ⋮ Spectrally and inertially arbitrary sign patterns ⋮ Allow problems concerning spectral properties of sign pattern matrices: a survey ⋮ On the location of the eigenvalues of Jacobi matrices ⋮ Spectrally arbitrary zero–nonzero patterns of order 4

Uses Software

• Maple

Cites Work

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• On the spectra of close-to-Schwarz matrices
• The combinatorial structure of generalized eigenspaces -- from nonnegative matrices to general matrices
• Spectrally arbitrary patterns
• Inertially arbitrary patterns
• Matrix Analysis
• Inverse Eigenvalue Problems
• On the Spectra of Striped Sign Patterns

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