Results 1 to 10 of about 59,492 (210)
Lagrange Interpolation Learning Particle Swarm Optimization. [PDF]
PLoS ONE, 2016 In recent years, comprehensive learning particle swarm optimization (CLPSO) has attracted the attention of many scholars for using in solving multimodal problems, as it is excellent in preserving the particles' diversity and thus preventing premature ...
Zhang Kai, Song Jinchun, Ni Ke, Li Song
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Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves [PDF]
Journal of Imaging, 2023 The article is devoted to the introduction of digital watermarks, which formthe basis for copyright protection systems. Methods in this area are aimed at embedding hidden markers that are resistant to various container transformations.
Aigerim Yerimbetova +7 more
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Harmonic Vector Error Analysis Based on Lagrange Interpolation
IEEE Access, 2021 With the development of smart substations and the promotion of 61850 standards, sampling values based on IEC61850-9-2 have become an important part of smart substation construction.
Zhaoyun Zhang, Qitong Wang, Zhi Zhang
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An extension of Lagrange interpolation formula and its applications [PDF]
Mathematics and Computational Sciences, 2023 In this work, a new type of interpolation formula is introduced. These formulas can be an extension of the Lagrange interpolation formula. The error of this new type of interpolation is calculated. In order to display efficiency of the proposed formulas,
Mohammad Ali Jafari, Azim Aminataei
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Barycentric Lagrange Interpolation [PDF]
SIAM Review, 2004 Summary: Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable. It deserves to be known as the standard method of polynomial interpolation.
Berrut, Jean-Paul, Trefethen, Lloyd N.
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Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach
Journal of Applied Mathematics, 2022 The problems of polynomial interpolation with several variables present more difficulties than those of one-dimensional interpolation. The first problem is to study the regularity of the interpolation schemes.
A. Essanhaji, M. Errachid
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Journal of Mathematics, 2022 In the paper, we study the upper bound estimation of the Lebesgue constant of the bivariate Lagrange interpolation polynomial based on the common zeros of product Chebyshev polynomials of the second kind on the square −1,12. And, we prove that the growth
Juan Liu, Laiyi Zhu
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On Multivariate Lagrange Interpolation [PDF]
Mathematics of Computation, 1995 Lagrange interpolation by polynomials in several variables is studied through a finite difference approach. We establish an interpolation formula analogous to that of Newton and a remainder formula, both of them in terms of finite differences. We prove that the finite difference admits an integral representation involving simplex spline functions.
Sauer, Thomas, Xu, Yuan
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Electrocardiogram estimation using Lagrange interpolation
Electronics Letters, 2021 An electrocardiogram records activity of cardiac which is collected through the electrodes positioned on specific locations on the human body. These signals are required for cardiac‐related issues.
Om Prakash Yadav, Anil Kumar Sahu
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Some new kinds of interpolation formulas and its applications [PDF]
Mathematics and Computational Sciences, 2022 In this work, using the determination function, some new kinds of interpolation formulas are presented.These novel formulas are extensions of Lagrange interpolation. Error formula for these new kind of interpolation formulas are obtained.
M. A Jafari, A Aminataei
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