Abstract. An algorithm for Chebyshev segment approximation with free nodes is presented. Rational fractions are used as approximating functions on subintervals. The differential evolution algorithm is used to find optimal nodes. Numerical results concerning segment approximation of functions with optimal nodes are given.
Keywords: Chebyshev segment approximation, multidimensional nonlinear optimization problem, rational fractions, optimal node, differential evolution algorithm.
1 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: lara.vakal@gmail.com.
2 V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine,
e-mail: dep145@gmail.com.
3 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: jvakal@gmail.com.