The infinite companion matrix
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Publication:1185050
DOI10.1016/0024-3795(92)90270-KzbMath0749.15015OpenAlexW1987799780MaRDI QIDQ1185050
Publication date: 28 June 1992
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(92)90270-k
Hardy spaceprojection operatorsgenerating functionreproducing kernelsdilation theoryformal power seriesshift operatorsBézoutiansinfinite companion matrix
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)
Related Items
Bézout, Hankel, and Loewner matrices ⋮ Algorithms for finding the minimal polynomials and inverses of resultant matrices ⋮ Decomposition of the infinite companion and interpolation ⋮ Recursive solution of Löwner-Vandermonde systems of equations. II ⋮ Characteristics of Hankel matrices ⋮ Extending the notions of companion and infinite companion to matrix polynomials
Cites Work
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- S-matrices
- Algebraic methods for Toeplitz-like matrices and operators
- Uniqueness in the first maximum problem
- Hankel matrices and the infinite companion
- A maximum problem for matrices
- An equation of Lyapunov type
- Functions of operators and the spectral radius
- Zero location by Hermitian forms: the singular case
- Biorthogonal systems and the infinite companion matrix
- Lyapunov equations and Gram matrices
- Spectral radius, norms of iterates, and the critical exponent
- A Maximum Principle for Quotient Norms in H ∞
- A generalization of the zero location theorem of Schur and Cohn
- A Lower Bound for the Spectral Radius
- The discrete Lyapunov equation in controllable canonical form
- Isometric parts of operators and the critical exponent
- Generalized Interpolation in H ∞
- Sur la norme des fonctions de certains opérateurs
- Norms and the spectral radius of matrices