Toeplitz matrix techniques and convergence of complex weight Padé approximants

DOI10.1016/0377-0427(87)90168-3zbMath0619.41014OpenAlexW2007272313MaRDI QIDQ1089545

Alphonse P. Magnus

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90168-3

zbMATH Keywords

Toeplitz matrixdiagonal Padé approximantsPadé denominators

Mathematics Subject Classification ID

Approximation with constraints (41A29)

Related Items

A shortcut to asymptotics for orthogonal polynomials ⋮ Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight ⋮ Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product ⋮ Padé tables of entire functions of very slow and smooth growth. II ⋮ Convergent interpolation to Cauchy integrals over analytic arcs ⋮ The convergence of Padé approximants to functions with branch points ⋮ Padé approximants to certain elliptic-type functions ⋮ Finite sections method for Hessenberg matrices. ⋮ Gaussian integration formulas for logarithmic weights and application to 2-dimensional solid-state lattices ⋮ Orthogonal polynomials: Their growth relative to their sums ⋮ Complex Jacobi matrices ⋮ Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions ⋮ Numerical Integration with Complex Jacobi Weight Function ⋮ Multipoint Padé approximants to complex Cauchy transforms with polar singularities ⋮ Homogenization of Poisson's kernel and applications to boundary control ⋮ Zero distributions via orthogonality.

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