Spectral properties of rational matrix functions with nonnegative realizations

DOI10.1016/S0024-3795(97)10034-9zbMath0934.15027MaRDI QIDQ1307203

B. Nagy, Karl-Heinz Förster

Publication date: 26 April 2000

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

zbMATH Keywords

spectrumtransfer functionsindex theoremreduced graphrational matrix functionspole ordernonnegative realization

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Matrices over function rings in one or more variables (15A54)

Related Items (2)

Pseudospectra of isospectrally reduced matrices ⋮ Nonnegative realizations of matrix transfer functions

Cites Work

• On the distinguished eigenvalues of a cone-preserving map
• The influence of the marked reduced graph of a nonnegative matrix on the Jordan form and on related properties: a survey
• Minimal factorization of selfadjoint rational matrix functions
• Algebraic eigenspaces of nonnegative matrices
• On the Core of a Cone-Preserving Map
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