Error autocorrelation in rational approximation and interval estimates. A survey of results

DOI10.2478/BF02475663zbMath1087.41015arXivmath/0207183MaRDI QIDQ1856353

Grigori L. Litvinov

Publication date: 18 May 2003

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0207183

zbMATH Keywords

algorithmsrational approximationinterval estimateserror autocorrection

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Error analysis and interval analysis (65G99)

Related Items

Numerical evaluation of Mittag-Leffler functions ⋮ Asymptotic solution of the theory of shell boundary value problem ⋮ Load transfer in fibre-reinforced composites with viscoelastic matrix: An analytical study ⋮ On the existence of nonlinear Padé-Chebyshev approximations for analytic functions

Uses Software

• REDUCE

Cites Work

• Computations of coefficients in the polynomials of Padé approximations by solving systems of linear equations
• A note on evaluation of coefficients in the polynomials of Padé approximants by solving systems of linear equations
• Two-sided difference methods for solving linear boundary-value problems for ordinary differential equations
• Ill-conditioned matrices and the integration of stiff ODEs
• Rational Chebyshev approximation using linear equations
• Convergence of Linear and Nonlinear Pade Approximants from Series of Orthogonal Polynomials
• Idempotent interval analysis and optimization problems
• 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
• Unnamed Item
• Unnamed Item