Finite sections method for Hessenberg matrices.

DOI10.1016/S0021-9045(03)00067-4zbMath1053.47026MaRDI QIDQ1399536

Luis Santiago, Leonel Robert

Publication date: 30 July 2003

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

zbMATH Keywords

asymptoticsorthogonal polynomialsJacobi matricesfinite sectionsHessenberg matrices

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Moment problems (44A60) Approximation by operators (in particular, by integral operators) (41A35) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

On a class of Sobolev scalar products in the polynomials. ⋮ Characteristic polynomials of random banded Hessenberg matrices and Hermite-Padé approximation ⋮ Solution of an infinite band matrix equation

Cites Work

• Padé-type approximation and general orthogonal polynomials
• Compact perturbations of orthogonal polynomials
• Toeplitz matrix techniques and convergence of complex weight Padé approximants
• On the domain of convergence and poles of complex \(J\)-fractions
• Determinacy of bounded complex perturbations of Jacobi matrices
• On a diagonal Padé approximation in two complex variables
• The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
• Reconstructing planar domains from their moments
• Complex Jacobi matrices
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