Results 1 to 10 of about 19,547 (166)
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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The AAA Algorithm for Rational Approximation [PDF]
SIAM Journal of Scientific Computing, 2018 We introduce a new algorithm for approximation by rational functions on a real or complex set of points, implementable in 40 lines of Matlab and requiring no user input parameters. Even on a disk or interval the algorithm may outperform existing methods, and on more complicated domains it is especially competitive. The core ideas are (1) representation
Yuji Nakatsukasa +2 more
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AAA Rational Approximation on a Continuum
SIAM Journal of Scientific ComputingAAA rational approximation has normally been carried out on a discrete set, typically hundreds or thousands of points in a real interval or complex domain. Here we introduce a continuum AAA algorithm that discretizes a domain adaptively as it goes.
Yuji Nakatsukasa +2 more
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On monotone rational approximation
Journal of Approximation Theory, 2005 The author solves a problem raised by R. A. DeVore in his several lectures during the last 15 years. The author finds the exact order of monotone rational approximation for the Sobolev classes \(W_p^1\). He proves that if \(f\) is an absolutely continuous function on \([0, 1]\) satisfying \(f'\in L_p[0,1 ...
exaly +3 more sources
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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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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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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