A survey of truncation error analysis for Padé and continued fraction approximants
From MaRDI portal
Publication:1327437
DOI10.1007/BF00995489zbMath0799.65011OpenAlexW4232256575MaRDI QIDQ1327437
W. J. Thron, William B. Jones, Cathleen M. Craviotto
Publication date: 19 June 1994
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00995489
Padé approximation (41A21) Algorithms for approximation of functions (65D15) Remainders in approximation formulas (41A80)
Related Items (5)
Computation of special functions by Padé approximants with orthogonal polynomial denominators ⋮ 100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants ⋮ Birth/birth-death processes and their computable transition probabilities with biological applications ⋮ Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution ⋮ Estimation for General Birth-Death Processes
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
- A constructive proof of convergence of the even approximants of positive PC-fractions
- Limit periodic Schur algorithms, the case \(|\gamma| = 1,\quad \sum d_ n < \infty\)
- On the convergence of limit periodic continued fractions \(K(a_ n/1)\), where \(a_ n\to -1/4.\) III
- On parabolic convergence regions for continued fractions
- Truncation error bounds for limit-periodic continued fractions \(K(a_ n/1)\) with \(\lim a_ n=0\)
- Computation of continued fractions by square-root modification: Reflection and examples
- Continued fractions in numerical analysis
- Derivatives of continued fractions with applications to hypergeometric functions
- Truncation error bounds for modified continued fractions with applications to special functions
- Error bounds for continued fractions \(K(1/b_n)\)
- A sequence of best parabola theorems for continued fractions
- Continued fractions with applications
- Analysis of truncation error of approximations based on the Padé table and continued fractions
- Truncation error analysis by means of approximant systems and inclusion regions
- Continued fraction approximation to functions
- Truncation error estimates for Stieltjes fractions
- Truncation error bounds for g-fractions
- A priori estimates for truncation error of continued fractions \(K(1/b_ n\))
- The value region problem for continued fractions
- Continued fractions with complex elements
- The continued fraction as a sequence of linear transformations
- Convergence Regions for Continued Fractions and Other Infinite Processes
- Two Constructive Results in Continued Fractions
- Truncation Error Bounds for Limit Periodic Continued Fractions
- Truncation Error Bounds for Continued Fractions $K({{a_n } / 1})$ with Parabolic Element Regions
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- Enhancing the convergence region of a sequence of bilinear transformations.
- A Continued Fraction Expansion, with a Truncation Error Estimate, for Dawson's Integral
- The Use of Attractive Fixed Points in Accelerating the Convergence of Limit-Periodic Continued Fractions
- Estimates of the Speed of Convergence of Continued Fraction Expansions of Functions
- Error Bounds for Elliptic Convergence Regions for Continued Fractions
- Truncation Error for Limit Periodic Schur Algorithms
- Value regions for continued fractions $K(a_n/1)$ whose elements lie in parabolic regions.
- Numerical Evaluation of Continued Fractions
- On Truncation Errors for Continued Fraction Computations
- Estimates of the Speed of Convergence of Certain Continued Fractions
- Best Error Bounds for Padé Approximants to Convergent Series of Stieltjes
- Truncation Error Estimates for T-Fractions
- Truncation Error Bounds for Continued Fractions
- Truncation error bounds for $\pi$-fractions
- Twin Convergence Regions for Continued Fractions b o + K(1/b n )
This page was built for publication: A survey of truncation error analysis for Padé and continued fraction approximants