Results 11 to 20 of about 59,698 (230)

Lagrange Interpolation Learning Particle Swarm Optimization. [PDF]

open access: yesPLoS 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
doaj   +5 more sources

Creating Digital Watermarks in Bitmap Images Using Lagrange Interpolation and Bezier Curves [PDF]

open access: yesJournal 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
doaj   +2 more sources

Barycentric Lagrange Interpolation [PDF]

open access: yesSIAM 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.
openaire   +3 more sources

Gradient estimation using Lagrange interpolation polynomials. [PDF]

open access: yesJournal of Optimization Theory and Applications, 2008
In this paper we use Lagrange interpolation polynomials to obtain good gradient estimations.This is e.g. important for nonlinear programming solvers.As an error criterion we take the mean squared error.This error can be split up into a deterministic and ...
Brekelmans, R.C.M.   +3 more
core   +12 more sources

Lagrange–Chebyshev Interpolation for image resizing [PDF]

open access: yesMathematics and Computers in Simulation, 2022
Image resizing is a basic tool in image processing and in literature we have many methods, based on different approaches, which are often specialized in only upscaling or downscaling. In this paper, independently of the (reduced or enhanced) size we aim to get, we approach the problem at a continuous scale where the underlying continuous image is ...
Occorsio D, Ramella G, Themistoclakis W
openaire   +6 more sources

Equidistribution of the Fekete points on the sphere [PDF]

open access: yes, 2007
The Fekete points are the points that maximize a Vandermonde-type determinant that appears in the polynomial Lagrange interpolation formula. They are well suited points for interpolation formulas and numerical integration.
Jordi Marzo   +10 more
core   +8 more sources

Harmonic Vector Error Analysis Based on Lagrange Interpolation

open access: yesIEEE 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
doaj   +1 more source

An extension of Lagrange interpolation formula and its applications [PDF]

open access: yesMathematics 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
doaj   +1 more source

Lagrange Multivariate Polynomial Interpolation: A Random Algorithmic Approach

open access: yesJournal 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
doaj   +1 more source

Upper Bound for Lebesgue Constant of Bivariate Lagrange Interpolation Polynomial on the Second Kind Chebyshev Points

open access: yesJournal 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
doaj   +1 more source

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