Increasing the Efficiency of Chebyshev Segment Fractional Rational Approximation

An algorithm for Chebyshev segment approximation with free nodes is presented. Fractional rational functions are used as approximating functions on subintervals. The differential evolution algorithm is used to find optimal nodes. Numerical results related to segment approximation of functions with o...

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Vydáno v:Cybernetics and systems analysis Ročník 53; číslo 5; s. 759 - 765
Hlavní autoři: Vakal, L. P., Kalenchuk-Porkhanova, A. A., Vakal, E. S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.09.2017
Springer
Springer Nature B.V
Témata:
Algorithms
Approximation
Artificial Intelligence
Chebyshev approximation
Control
Cybernetics
Efficiency
Evolutionary algorithms
Evolutionary computation
Mathematical functions
Mathematics
Mathematics and Statistics
Nodes
Processor Architectures
Rational functions
Segments
Software Engineering/Programming and Operating Systems
Systems Theory
Chebyshev segment approximation
rational fractions
differential evolution algorithm
multidimensional nonlinear optimization problem
optimal node
ISSN:1060-0396, 1573-8337
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Shrnutí:An algorithm for Chebyshev segment approximation with free nodes is presented. Fractional rational functions are used as approximating functions on subintervals. The differential evolution algorithm is used to find optimal nodes. Numerical results related to segment approximation of functions with optimal nodes are given.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-017-9978-7