Computation of Padé approximants and continued fractions

DOI10.1016/0771-050X(76)90015-2zbMath0341.65007MaRDI QIDQ1231745

Claude Brezinski

Publication date: 1976

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

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Approximation by rational functions (41A20) Algorithms for approximation of functions (65D15) Convergence and divergence of continued fractions (40A15)

Related Items

Padé approximation and Apostol-Bernoulli and Apostol-Euler polynomials, A new application of the extended Euclidean algorithm for matrix Padé approximants, Recurrence for values of the zeta function, Division algorithms for continued fractions and the Padé table, The spectrum of Jacobi matrices in terms of its associated weight function, Vector-valued, rational interpolants. III, Convergence acceleration methods: The past decade, An iterative method for algebraic equation by Padé approximation, The multigrid method for accelerated solution of the discretized Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Confluent forms of certain non-linear algorithms
• P-fractions and the Padé table
• Modified moments and Gaussian quadratures
• A new look at the Padé table and the different methods for computing its elements
• Computation of the eigenelements of a matrix by the \(\varepsilon\)- algorithm
• Matrix interpretations and applications of the continued fraction algorithm
• Padé approximation of Stieltjes series
• Généralisations de la transformation de Shanks, de la table de Padé et de l'\(\varepsilon\)-algorithme
• Forme confluente de l'\(\varepsilon\)-algorithme topologique
• Upon some continuous prediction algorithms. II
• Solution of linear equations with Hankel and Toeplitz matrices
• Some results in the theory of the vector \(\varepsilon\)-algorithm
• Quadrature formulae
• Correction d'une somme en arithmétique à virgule flottante
• The Solution of Systems of Equations Using the ε-Algorithm, and an Application to Boundary-Value Problems
• On the Convergence and Stability of the Epsilon Algorithm
• Extremal properties of Padé quotients
• A convergence theory of some methods of integration.
• An Algorithm for the Inversion of Finite Hankel Matrices
• The Rational Approximation of Functions which are Formally Defined by a Power Series Expansion
• Upon the Padé Table Derived from a Stieltjes Series
• A GENERAL SYSTEM OF ORTHOGONAL POLYNOMIALS
• Construction of Gauss-Christoffel Quadrature Formulas
• Computation of the padé table
• On the Solution of Systems of Equations by the Epsilon Algorithm of Wynn
• Geometry of moment spaces
• On a Device for Computing the e m (S n ) Transformation