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On spectra of expansion graphs and matrix polynomials

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Publication:1870043
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DOI10.1016/S0024-3795(01)00595-XzbMath1016.05051MaRDI QIDQ1870043

B. Nagy, Karl-Heinz Förster

Publication date: 4 May 2003

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


zbMATH Keywords

partial linearizationmatrix polynomialJordan chainindex of imprimitivityexpansion graphperipheral eigenvalue


Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18)


Related Items (2)

A primer of Perron--Frobenius theory for matrix polynomials ⋮ On the Block Numerical Range of Nonnegative Matrices




Cites Work

  • Some properties of the spectral radius of a monic operator polynomial with nonnegative compact coefficients
  • On the peripheral spectrum of monic operator polynomials with positive coefficients
  • Algebraic eigenspaces of nonnegative matrices
  • On some mathematical principles in the linear theory of damped oscillations of continua I
  • Jordan chains for lambda matrices
  • Spectra of expansion graphs
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