Results 21 to 30 of about 57,073,214 (327)
Super-optimal approximation by meromorphic functions. [PDF]
, 1996 Let G be a matrix function of type m × n and suppose that G is expressible as the sum of an H∞ function and a continuous function on the unit circle. Suppose also that the (k – 1)th singular value of the Hankel operator with symbol G is greater than the ...
Young, N. J., Peller, V. V.
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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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Approximation by p-Faber-Laurent Rational Functions in the Weighted Lebesgue Spaces [PDF]
, 2004 summary:Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied.
D. Israfilov
semanticscholar +2 more sources
Accurate analytic approximation to the Modified Bessel function of Second Kind K 0(x)
Results in Physics, 2022 Two analytic approximations have been determined for the modified Bessel functions of second kind K0(x), good for either positive or negative values of x.
Pablo Martin, Fernando Maass
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A Rational Approximant for the Digamma Function [PDF]
Numerical Algorithms, 2003 Power series representations for special functions are computationally satisfactory only in the vicinity of the expansion point. Thus, it is an obvious idea to use instead Padé approximants or other rational functions constructed from sequence transformations.
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Mathematics, 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
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Data-Driven Algorithms for Signal Processing with Trigonometric Rational Functions [PDF]
SIAM 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
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Algorithms for the rational approximation of matrix-valued functions [PDF]
SIAM 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
Fejer means of rational Fourier – Chebyshev series and approximation of function |x|s
Журнал 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
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Computing the reciprocal of a ϕ-function by rational approximation
Advances in Computational Mathematics, 2021 In this paper we introduce a family of rational approximations of the reciprocal of a $ϕ$-function involved in the explicit solutions of certain linear differential equations, as well as in integration schemes evolving on manifolds. The derivation and properties of this family of approximations applied to scalar and matrix arguments are presented ...
Boito, Paola +2 more
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