Bi-orthogonality in rational approximation

DOI10.1016/S0377-0427(87)80007-9zbMath0627.41011OpenAlexW2074003284MaRDI QIDQ1092345

Arieh Iserles, Edward B. Saff

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/s0377-0427(87)80007-9

zbMATH Keywords

power seriesStieltjes series

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by rational functions (41A20) Padé approximation (41A21)

Related Items

A shortcut to asymptotics for orthogonal polynomials ⋮ Bi-orthogonality and zeros of transformed polynomials ⋮ Explicit representations of biorthogonal polynomials ⋮ DEK-type orthogonal polynomials and a modification of the Christoffel formula ⋮ On transformations and zeros of polynomials ⋮ On the Theory of Biorthogonal Polynomials

Cites Work

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• Padé-type approximation and general orthogonal polynomials
• Some explicit formulae in simultaneous Padé approximation
• Bi-orthogonality and zeros of transformed polynomials
• Two-Step Methods and Bi-Orthogonality
• Numerical Quadrature and Nonlinear Sequence Transformations; Unified Rules for Efficient Computation of Integrals with Algebraic and Logarithmic Endpoint Singularities
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• The bounding properties of the multipoint Padé approximant to a series of Stieltjes on the real line
• Development of non-linear transformations for improving convergence of sequences