Determinacy of bounded complex perturbations of Jacobi matrices

DOI10.1006/jath.1999.3369zbMath0974.47010OpenAlexW2054972564MaRDI QIDQ1577926

Mirta Castro Smirnova

Publication date: 29 November 2001

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1999.3369

zbMATH Keywords

recurrence relationdeterminacyJacobi matrixconvergence of continued fractions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Convergence and divergence of continued fractions (40A15)

Related Items (2)

Finite sections method for Hessenberg matrices. ⋮ Complex Jacobi matrices

Cites Work

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• On the domain of convergence and poles of complex \(J\)-fractions
• The diagonal of the Padé table and the approximation of the Weyl function of second-order difference operators
• Criterion for the Resolvent Set of Nonsymmetric Tridiagonal Operators
• Polynomials generated by a three-term recurrence relation with asymptotically periodic complex coefficients

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