Results 11 to 20 of about 44,196 (310)
Polynomial approximation of symmetric functions
Mathematics of Computation, 2023 We study the polynomial approximation of symmetric multivariate functions and of multi-set functions. Specifically, we consider f (
Markus Bachmayr +3 more
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SN Applied Sciences, 2021 This paper proposes a probabilistic small-signal stability analysis method based on the polynomial approximation approach. Since the correct determination of unknown coefficients has a direct effect on the accuracy of the polynomial approximation method,
Ali Mohammad Tabrizchi +1 more
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On the Expediency and Possibilities of Approximating a Pure Delay Link
Информатика и автоматизация, 2022 When solving problems of controlling an object with delay, it is often necessary to approximate a pure delay link with a minimum phase link in order to ensure the possibility of using analytical methods for regulator design.
Vadim Zhmud +5 more
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Improved Stability Criteria for Time-Varying Delay System Using Second and First Order Polynomials
IEEE Access, 2020 This article concerns the problem of stability analysis of systems with time-varying delay. Recent developments in this direction involves approximation of a second order polynomial function of time-delay.
Sharat Chandra Mahto +5 more
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Communications, 2000 The least square method is generally used for an estimation of the coefficients of polynomial transformation. The paper describes the rationalization of polynomial approximation by the minimization of maximal error model (Chebyshew approximation).
Robert Tenzer
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Approximate zolotarev polynomials
Computers & Mathematics with Applications, 1986 The authors introduce modified Zolotarev polynomials as follows. For \(a\in R\), (1) \(Z_ a:=Z_{a,m+2}:=aT_{m+2}+T_{m+1}+q^*,\) where \(q^*\in P_ m\) is the (uniquely determined) algebraic polynomial of degree \(\leq m\) which minimizes \(\| Z_{a,m+2}\|_{\infty}=\max_{-1\leq x\leq 1}| Z_{a,m+2}(x)|;\) and \(T_ p\) is a Chebyshev polynomial of first ...
Haussmann, W., Zeller, K.
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Minimax polynomial approximation [PDF]
Mathematics of Computation, 1966 Some new methods for obtaining the minimax polynomial approximation of degree n n to a continuous function are introduced ...
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Open Mathematics, 2021 Fourier approximation plays a key role in qualitative theory of deterministic and random differential equations. In this paper, we will develop a new approximation tool.
Zhang Zhihua
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Square-rich fixed point polynomial evaluation on FPGAs [PDF]
, 2014 Polynomial evaluation is important across a wide range of application domains, so significant work has been done on accelerating its computation. The conventional algorithm, referred to as Horner's rule, involves the least number of steps but can lead to
McLoughlin, Ian V. +5 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2018 The use of the Taylor polynomial of the second degree when approximating the derivatives by finite differences leads to the second order of approximation of the traditional method of nets in the numerical integration of second-order ordinary differential
Vladimir N Maklakov, Yanina G Stelmakh
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