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A rank criterion for the order of a pole of a matrix function

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Publication:1863590
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DOI10.1016/S0024-3795(02)00540-2zbMath1032.15019MaRDI QIDQ1863590

Fei Zhou

Publication date: 11 March 2003

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


zbMATH Keywords

rank criterionmeromorphic matrix functionNull chainNull functionorder of a pole


Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Matrices over function rings in one or more variables (15A54) Vector spaces, linear dependence, rank, lineability (15A03)


Related Items

On the computation of the Jordan canonical form of regular matrix polynomials



Cites Work

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  • Local inverse spectral problems for rational matrix functions
  • Errata to: Two-sided tangential interpolation of real rational matrix functions
  • Input retrieval in finite dimensional linear systems
  • AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
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