Approximants de Padé-Hermite. I.: Théorie

DOI10.1007/BF01389636zbMath0537.65013OpenAlexW118994741MaRDI QIDQ792731

C. Di Crescenzo, Jean Della Dora

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132886

zbMATH Keywords

numerical examplesrecursion relationsdeterminantal relationsPadé-Hermite tablessystems of functions

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Padé approximation (41A21) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Algorithms for approximation of functions (65D15) Continued fractions; complex-analytic aspects (30B70) Numerical summation of series (65B10)

Related Items

Recurrence relations in Padé-Hermite approximation ⋮ A look-ahead method for computing vector Padé-Hermite approximants ⋮ Hermite-Padé approximation and integrability ⋮ Vector orthogonal polynomials ⋮ Application of Hermite-Padé approximation for detecting singularities of some boundary value problems ⋮ The computation of non-perfect Padé-Hermite approximants ⋮ Existence and uniqueness of algebraic function approximations ⋮ A superfast algorithm for multi-dimensional Padé systems ⋮ Formal solutions of differential equations

Cites Work

• Approximants de Padé-Hermite. II.: Programmation
• The Padé table, the Frobenius identities, and the qd algorithm
• The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
• On the approximation of logarithms of algebraic numbers
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