On the computation of the inverse of a rational matrix via expansions†

DOI10.1080/00207178008961031zbMath0436.15003OpenAlexW2104682575MaRDI QIDQ3876051

Joos Vandewalle, J. van Daele

Publication date: 1980

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178008961031

zbMATH Keywords

Toeplitz matricesLaurent expansion of the inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05) Matrices over function rings in one or more variables (15A54)

Cites Work

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• On the determination of the order and the degree of a zero of a rational matrix
• A view of three decades of linear filtering theory
• Construction of the inverse of linear time-invariant multivariable systems
• An<tex>O(N^2)</tex>algorithm for partial fraction expansion
• Inversion of rational matrices†

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