Biorthogonal systems and the infinite companion matrix

DOI10.1016/0024-3795(83)90094-0zbMath0506.15015OpenAlexW2047796520MaRDI QIDQ1836719

Vlastimil Pták

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0024-3795(83)90094-0

zbMATH Keywords

biorthogonal systemsGram matrixprojection operatorinterpolation operatorLyapunov-type equationsinfinite companion matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Hankel matrices and the infinite companion, Intertwining and testing matrices corresponding to a polynomial, The infinite companion matrix, An extremal problem for operators, Uniqueness in the first maximum problem, Polynomials and Hankel matrices, Bezoutians and projections

Cites Work

• Functions of operators and the spectral radius
• Spectral radius, norms of iterates, and the critical exponent
• The solution of Lyapunov's matrix equation by a geometric method
• Sur la norme des fonctions de certains opérateurs
• Norms and the spectral radius of matrices
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