Results 31 to 40 of about 57,073,214 (327)

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

Журнал 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

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

Energies, 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

Applications of AAA rational approximation [PDF]

Acta Numerica
The AAA algorithm for rational approximation is employed to illustrate applications of rational functions all across numerical analysis. For example, rational functions enable strikingly effective methods for numerical differentiation and integration ...
Yuji Nakatsukasa, L. Trefethen
semanticscholar   +1 more source

Structured Low-rank Approximation as a Rational Function Minimization [PDF]

, 2012
Many problems of system identification, model reduction and signal processing can be posed and solved as a structured low-rank approximation problem (SLRA).
Markovsky, Ivan, Usevich, Konstantin
core   +1 more source

Efficient Rational Approximation of Optical Response Functions with the AAA Algorithm [PDF]

Laser & Photonics Reviews
A theoretical framework for the rational approximation of optical response functions in resonant photonic systems is introduced. The framework is based on the AAA algorithm and further allows to solve the underlying nonlinear eigenproblems and to ...
F. Betz, M. Hammerschmidt, L. Zschiedrich, S. Burger, F. Binkowski   +4 more
semanticscholar   +1 more source

The AAAtrig algorithm for rational approximation of periodic functions [PDF]

SIAM Journal on Scientific Computing, 2020
We present an extension of the AAA (adaptive Antoulas--Anderson) algorithm for periodic functions, called 'AAAtrig'. The algorithm uses the key steps of AAA approximation by (i) representing the approximant in (trigonometric) barycentric form and (ii ...
Peter J. Baddoo
semanticscholar   +1 more source

Estimates of the Approximation Error Using Rademacher Complexity: Learning Vector-Valued Functions [PDF]

, 2008
For certain families of multivariable vector-valued functions to be approximated, the accuracy of approximation schemes made up of linear combinations of computational units containing adjustable parameters is investigated.
Gnecco Giorgio, Marcello Sanguineti, Gnecco, Giorgio, Giorgio Gnecco, Gnecco, G, GNECCO, GIORGIO STEFANO, Sanguineti, Marcello, Sanguineti Marcello   +7 more
core   +1 more source

On the branched continued fraction expansions of the complete group of ratios of the generalized hypergeometric function $_4F_3$

Researches in Mathematics
The paper considers the classical problem of the rational approximation of analytic functions of complex variable, in particulary, to issues that arise when constructing branched continued fraction expansions for generalized hypergeometric functions ...
Y. Lutsiv, T. Antonova, R. Dmytryshyn, M. Dmytryshyn   +3 more
doaj   +1 more source

Construction of a new smooth support vector machine model and its application in heart disease diagnosis.

PLoS ONE, 2023
Support vector machine (SVM) is a new machine learning method developed from statistical learning theory. Since the objective function of the unconstrained SVM model is a non-smooth function, a lot of fast optimization algorithms can't be used to find ...
Jianjian Wang, Feng He, Shouheng Sun
doaj   +2 more sources

The Investigation of the Discrete Universality of L-Functions of Elliptic Curves

Jaunųjų Mokslininkų Darbai, 2022
In the paper, we prove the discrete universality theorem in the sense of the weak convergence of probability measures in the space of analytic functions for the L-functions of elliptic curves.
Samanta Zakaitė, Antanas Garbaliauskas
doaj   +1 more source