Multivariate data fitting with error control

DOI10.1007/s10543-018-0721-1zbMath1411.41013OpenAlexW2891152495WikidataQ129228367 ScholiaQ129228367MaRDI QIDQ1731603

Oliver Salazar Celis, Annie A. M. Cuyt

Publication date: 13 March 2019

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/10067/1534670151162165141

zbMATH Keywords

rational functionmultivariateinterval interpolationcomputational science

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Algorithms with automatic result verification (65G20)

Related Items (4)

Analytic models for parameter dependency in option price modelling ⋮ Macromodeling of high-speed interconnects by positive interpolation of vertical segments ⋮ Practical algorithms for multivariate rational approximation ⋮ A new approach to Newton-type polynomial interpolation with parameters

Cites Work

• Rational functions for guaranteed and experimentally well-conditioned global interpolation
• On the structure of a table of multivariate rational interpolants
• Unattainable points in multivariate rational interpolation
• Approximate inversion of the Black-Scholes formula using rational functions
• Rational approximation of vertical segments
• Existence of best rational Tchebycheff approximations
• Sharp Bounds for Lebesgue Constants of Barycentric Rational Interpolation at Equidistant Points
• Optimization-based design and implementation of multidimensional zero-phase IIR filters
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