Impact of Commutation Failure Preventions on HVDC System Based on a Multi-Index Value Set Approach
IEEE Access, 2021 This paper proposes a systematic method, based on rational approximation and value set approach, to unravel the impact of commutation failure preventions (CFPREVs) on HVDC system dynamics.
Minquan Chen +3 more
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Rational Approximations of Arbitrary Order: A Survey
Fractal and Fractional, 2021 This paper deals with the study and analysis of several rational approximations to approach the behavior of arbitrary-order differentiators and integrators in the frequency domain.
José Daniel Colín-Cervantes +6 more
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The Stability Analysis of Linear Systems with Cauchy—Polynomial-Vandermonde Matrices
Axioms, 2023 The numerical approximation of both eigenvalues and singular values corresponding to a class of totally positive Bernstein–Vandermonde matrices, Bernstein–Bezoutian structured matrices, Cauchy—polynomial-Vandermonde structured matrices, and quasi ...
Mutti-Ur Rehman +3 more
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On a New Generalization of Bernstein-Type Rational Functions and Its Approximation
Mathematics, 2022 In this study, we introduce a new generalization of a Bernstein-type rational function possessing better estimates than the classical Bernstein-type rational function.
Esma Yıldız Özkan, Gözde Aksoy
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Macromodeling High-Speed Circuit Data Using Rational Krylov Fitting Method
Energies, 2021 This paper presents the modeling of high speed distributed networks characterized by S-parameters frequency data using the rational Krylov fitting (RKFIT) algorithm. Numerical examples illustrate the effectiveness of the method to compute stable rational
Mohamed Sahouli, Anestis Dounavis
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Parabolic convergence regions of branched continued fractions of the special form
Karpatsʹkì Matematičnì Publìkacìï, 2021 Using the criterion of convergence of branched continued fractions of the special form with positive elements, effective sufficient criteria of convergence for these fractions are established.
D.I. Bodnar, I.B. Bilanyk
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On one rational integral operator of Fourier – Chebyshev type and approximation of Markov functions
Журнал Белорусского государственного университета: Математика, информатика, 2020 The purpose of this paper is to construct an integral rational Fourier operator based on the system of Chebyshev – Markov rational functions and to study its approximation properties on classes of Markov functions. In the introduction the main results of
Pavel G. Patseika +2 more
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A New Kantorovich-Type Rational Operator and Inequalities for Its Approximation
Mathematics, 2022 We introduce a new Kantorovich-type rational operator. We investigate inequalities estimating its rates of convergence in view of the modulus of continuity and the Lipschitz-type functions.
Esma Yıldız Özkan
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Yantu gongcheng xuebao, 2021 The discrete-time rational approximation function is one of the important methods for establishing dynamic analysis model for foundations. The stability and accuracy of the rational function determine those of dynamic time history analysis.
WANG Zhi-yu 1, TANG Zhen-yun 1, 2, DU Xiu-li 1
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Rate of interpolation of analytic functions with regularly decreasing coefficients by simple partial fractions [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 We consider the problems of multiple interpolation of analytic functions $f(z)=f_0+f_1z+\dots$ in the unit disk with node $z=0$ by means of simple partial fractions (logarithmic derivatives of algebraic polynomials) with free poles and with all poles on ...
Komarov, Mikhail Anatol'evich
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