Results 31 to 40 of about 11,753 (303)

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

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

open access: yesResearches 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   +3 more
doaj   +1 more source

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

open access: yesPLoS 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

Algorithms and error bounds for multivariate piecewise constant approximation

open access: yes, 2010
We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Oleg Davydov, Davydov, Oleg
core   +1 more source

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

open access: yesJaunųjų 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

Orthogonal rational functions and modified approximants [PDF]

open access: yesNumerical Algorithms, 1996
This paper studies certain rational approximants to the function \[ F_\mu(z)= \int^\pi_{- \pi} {t+ z\over t- z} d\mu(\theta),\quad(t= e^{i\theta}), \] where \(\mu\) is a positive Borel measure on the unit circle in the complex plane. These approximants are constructed in terms of orthogonal rational functions with fixed poles. In fact, given a sequence
Bultheel, A.   +3 more
openaire   +3 more sources

Package Macromodeling via Time-Domain Vector Fitting [PDF]

open access: yes, 2003
—This paper addresses the construction of lumped macromodels for package structures. A technique named Time-Domain Vector Fitting (TD-VF) is introduced for the identification of the dominant poles of the structure.
S. Grivet-talocia   +2 more
core   +1 more source

Analytic approximate eigenvalues by a new technique. Application to sextic anharmonic potentials

open access: yesResults in Physics, 2018
A new technique to obtain analytic approximant for eigenvalues is presented here by a simultaneous use of power series and asymptotic expansions is presented.
D. Diaz Almeida, P. Martin
doaj   +1 more source

On Best Approximation By Rational And Holomorphic Mappings Between Banach Spaces

open access: yes, 2015
After proving a generalized version of Garkavi's theorem, we give as applications proofs of existence results on best approximation by polynomials, and fractional linear and holomorphic operators between Banach spaces.
Roversi M.S.M.   +5 more
core   +1 more source

On the numerical stability of the branched continued fraction expansion of the ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

open access: yesМатематичні Студії
Continued fractions and their generalization, branched continued fractions, are the effective tools used to study special functions. In this aspect, an important problem of continued fractions and branched continued fractions is the study of their ...
M. V. Dmytryshyn   +3 more
doaj   +1 more source

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