Lyapunov equations for companion matrices

DOI10.1016/0024-3795(86)90218-1zbMath0584.15005OpenAlexW2002237955MaRDI QIDQ1070309

Georg Heinig, Uwe Jungnickel

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90218-1

zbMATH Keywords

Lyapunov equationgeneral solutionHankel matrixcompanion matricespolynomial congruenceresultant matrix equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)

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Cites Work

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• Lyapunov, Bézout, and Hankel
• Hankel matrices generated by the Markov parameters of rational functions
• Matrix calculations for Liapunov quadratic forms
• Bezoutiante, Resultante und Spektralverteilungsprobleme für Operatorpolynome
• Some Applications of the Lyapunov Matrix Equation
• Resultants and the Solution of $AX - XB = - C$

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