Division algorithms for continued fractions and the Padé table
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Publication:1145465
DOI10.1016/0771-050X(80)90034-0zbMath0445.65012MaRDI QIDQ1145465
Publication date: 1980
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Padé approximation (41A21) Algorithms for approximation of functions (65D15) Continued fractions; complex-analytic aspects (30B70) Numerical summation of series (65B10) Convergence and divergence of continued fractions (40A15)
Related Items (8)
From matrix to vector Padé approximants ⋮ Formal orthogonal polynomials and Hankel/Toeplitz duality ⋮ Cayley's theorem and its application in the theory of vector Padé approximants ⋮ On the computation of non-normal Padé approximants ⋮ Perron fractions: An algorithm for computing the Padé table ⋮ On the use of a corresponding sequence algorithm for \(\delta\)-fractions ⋮ Recursive partial realization from the combined sequence of Markov parameters and moments ⋮ Nested-feedback-loops realization of 2-D systems
Cites Work
- Padé approximation and its applications. Proceedings of a conference held in Antwerp, Belgium, 1979
- A new look at the Padé table and the different methods for computing its elements
- Matrix interpretations and applications of the continued fraction algorithm
- Computation of Padé approximants and continued fractions
- A useful identity for the rational Hermite interpolation table
- A class of algorithms for obtaining rational approximants to functions which are defined by power series
- Approximants de Padé
- Solution of linear equations with Hankel and Toeplitz matrices
- Recursive Algorithms for Nonnormal Padé Tables
- A Property of Euclid’s Algorithm and an Application to Padé Approximation
- Numerical Aspects of Recursive Realization Algorithms
- Symbolic Computation of Padé Approximants
- The Solution of a Toeplitz Set of Linear Equations
- An Algorithm for the Inversion of Finite Toeplitz Matrices
- An Algorithm for the Inversion of Finite Hankel Matrices
- Toeplitz Matrix Inversion: The Algorithm of W. F. Trench
- The Triangular Decomposition of Hankel Matrices
- The Padé Table and Its Relation to Certain Algorithms of Numerical Analysis
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