Common minimal multiples and divisors for rational matrix functions

DOI10.1016/0024-3795(90)90143-ZzbMath0722.15015MaRDI QIDQ755836

Leiba Rodman, Joseph A. Ball, Israel Gohberg

Publication date: 1990

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

zbMATH Keywords

common divisorscommon multiplesrational matrix functionsfactorization of matrix functionsregular matrix polynomialssimultaneous bitangential Lagrange-Sylvester interpolation

Mathematics Subject Classification ID

Factorization of matrices (15A23) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Sylvester and Lyapunov equations and some interpolation problems for rational matrix functions, Bitangential interpolation problems for symmetric rational matrix functions, Bézoutians of rational matrix functions, matrix equations and factorizations, Minimal-degree coprime factorizations of rational matrix functions, Local minimal factorizations of rational matrix functions in terms of null and pole data: Formulas for factors, Simultaneous residue interpolation problems for rational matrix functions, Nonsquare spectral factors via factorizations of a unitary function

Cites Work

• On the zeros and poles of a transfer function
• Simultaneous residue interpolation problems for rational matrix functions
• From time series to linear system. I: Finite dimensional linear time invariant systems
• Minimal factorization of meromorphic matrix functions in terms of local data
• An inverse spectral problem for rational matrix functions and minimal divisibility
• Minimal factorization of matrix and operator functions
• Errata to: Two-sided tangential interpolation of real rational matrix functions
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