Results 21 to 30 of about 223,993 (286)

Equidistribution of rational functions having a superattracting periodic point towards the activity current and the bifurcation current [PDF]

open access: yes, 2003
We establish an approximation of the activity current $T_c$ in the parameter space of a holomorphic family $f$ of rational functions having a marked critical point $c$ by parameters for which $c$ is periodic under $f$, i.e., is a superattracting periodic
Okuyama, Yûsuke
core   +7 more sources

Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions [PDF]

open access: yesSIAM Journal on Scientific Computing, 2021
Rational approximation schemes for reconstructing periodic signals from samples with poorly separated spectral content are described. These methods are automatic and adaptive, requiring no tuning or manual parameter selection.
H. Wilber, Anil Damle, Alex Townsend
semanticscholar   +1 more source

Rational approximation for solving an implicitly given Colebrook flow friction equation [PDF]

open access: yes, 2019
The empirical logarithmic Colebrook equation for hydraulic resistance in pipes implicitly considers the unknown flow friction factor. Its explicit approximations, used to avoid iterative computations, should be accurate but also computationally efficient.
Brkić, Dejan, Praks, Pavel
core   +5 more sources

Approximation by Tensor-Product Kind Bivariate Operator of a New Generalization of Bernstein-Type Rational Functions and Its GBS Operator

open access: yesMathematics, 2022
We introduce a tensor-product kind bivariate operator of a new generalization of Bernstein-type rational functions and its GBS (generalized Boolean sum) operator, and we investigate their approximation properties by obtaining their rates of convergence ...
Esma Yıldız Özkan, Gözde Aksoy
doaj   +1 more source

Algorithms for the rational approximation of matrix-valued functions [PDF]

open access: yesSIAM Journal on Scientific Computing, 2020
A selection of algorithms for the rational approximation of matrix-valued functions are discussed, including variants of the interpolatory AAA method, the RKFIT method based on approximate least squares fitting, vector fitting, and a method based on low ...
I. V. Gosea, S. Güttel
semanticscholar   +1 more source

On rational Abel – Poisson means on a segment and approximations of Markov functions

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2021
Approximations on the segment [−1, 1] of Markov functions by Abel – Poisson sums of a rational integral operator of Fourier type associated with the Chebyshev – Markov system of algebraic fractions in the case of a fixed number of geometrically different
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

Neural computation of arithmetic functions [PDF]

open access: yes, 1990
A neuron is modeled as a linear threshold gate, and the network architecture considered is the layered feedforward network. It is shown how common arithmetic functions such as multiplication and sorting can be efficiently computed in a shallow neural ...
Bruck, Jehoshua, Siu, Kai-Yeung
core   +1 more source

Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
Approximation properties of Fejer means of Fourier series by Chebyshev – Markov system of algebraic fractions and approximation by Fejer means of function |x|s, 0 < s < 2, on the interval [−1,1], are studied.
Pavel G. Patseika, Yauheni A. Rouba
doaj   +1 more source

Uniform Approximation by Rational Functions Having Restricted Denominators.

open access: yes, 1981
This paper considers approximation of continuous functions on a compact metric space by generalized rational functions for which the denominators have bounded coefficients and are bounded below by a fixed positive function.
JR. E H. KAUFMAN, G. D. Taylor
semanticscholar   +1 more source

Dielectric Response Model for Transformer Insulation Using Frequency Domain Spectroscopy and Vector Fitting

open access: yesEnergies, 2022
This paper proposes a rational approximation-based approach to find positive real parameters for the extended Debye model (EDM), aimed at condition assessment of insulation systems of power transformers.
Giovanni Hernandez, Abner Ramirez
doaj   +1 more source

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