Parametrization of minimal rank block Hankel matrix extensions and minimal partial realizations

DOI10.1007/BF01233961zbMath0936.47013MaRDI QIDQ1283987

Georg Heinig, Sven Feldmann

Publication date: 26 May 1999

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

parametrizationminimal rankHankel matrix extensionsMHE problem

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Linear accretive operators, dissipative operators, etc. (47B44)

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Cites Work

• On minimality in the partial realization problem
• On parametrizations for the minimal partial realization problem
• Algebraic methods for Toeplitz-like matrices and operators
• Interpolation of rational matrix functions
• Kernel structure of block Hankel and Toeplitz matrices and partial realization
• Toeplitz minimal rank completions
• Minimal rank completions for block matrices
• Unique minimal rank extensions of triangular operators
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