Results 11 to 20 of about 37,103 (214)

Optimal designs for three-dimensional shape analysis with spherical harmonic descriptors [PDF]

, 2005
We determine optimal designs for some regression models which are frequently used for describing three-dimensional shapes. These models are based on a Fourier expansion of a function defined on the unit sphere in terms of spherical harmonic basis ...
Dette, Holger, Melas, Viatcheslav B., Pepelyshev, Andrey   +2 more
core   +3 more sources

Polynomial Spline Collocation Method for Solving Weakly Regular Volterra Integral Equations of the First Kind

Известия Иркутского государственного университета: Серия "Математика", 2022
The polynomial spline collocation method is proposed for solution of Volterra integral equations of the first kind with special piecewise continuous kernels.
Aleksandr Tynda, Samad Noeiaghdam, Denis Sidorov   +2 more
doaj   +1 more source

Caratheodory-Tchakaloff Subsampling [PDF]

, 2016
We present a brief survey on the compression of discrete measures by Caratheodory-Tchakaloff Subsampling, its implementation by Linear or Quadratic Programming and the application to multivariate polynomial Least Squares.
Piazzon, Federico, Sommariva, Alvise, Vianello, Marco   +2 more
core   +2 more sources

A Two-Dimensional Variant of Newton’s Method and a Three-Point Hermite Interpolation: Fourth- and Eighth-Order Optimal Iterative Schemes

Mathematics, 2023
A nonlinear equation f(x)=0 is mathematically transformed to a coupled system of quasi-linear equations in the two-dimensional space. Then, a linearized approximation renders a fractional iterative scheme xn+1=xn−f(xn)/[a+bf(xn)], which requires one ...
Chein-Shan Liu, Essam R. El-Zahar, Chih-Wen Chang   +2 more
doaj   +1 more source

Optimization of the Exponential Bounds on the Gaussian Q Function Using Interior Point Algorithm and Its Application in Communication Theory

IEEE Open Journal of the Communications Society, 2022
Owing to various applications in the field of wireless communication systems, in this paper, using vector-based interior-point algorithm, we propose a generic methodology which optimizes simple exponential based approximations of the Gaussian $Q ...
Aditya Powari, Dharmendra Sadhwani, Lalita Gupta, Ram Narayan Yadav   +3 more
doaj   +1 more source

Optimal Numerical Integration

Кібернетика та комп'ютерні технології, 2020
Introduction. In many applied problems, such as statistical data processing, digital filtering, computed tomography, pattern recognition, and many others, there is a need for numerical integration, moreover, with a given (often quite high) accuracy ...
V.K. Zadiraka, L.V. Luts, I.V. Shvidchenko   +2 more
doaj   +1 more source

Comparison of optimal quadrature formulas

Numerische Mathematik, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bojanov, Borislav, Huang, Daren
openaire   +1 more source

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj   +1 more source

Low Complexity Golden Code Analytical and Deep Learning-Based Sphere-Decoders for High-Density M-QAM

IEEE Access, 2022
In this paper, we develop low complexity Golden code sphere-decoding (SD) algorithms for high-density M-ary quadrature amplitude modulation (M-QAM). We define the high-density M-QAM as having modulation orders ( $M$ ) of at least 64, i.e.
Bhekisizwe Mthethwa, Hongjun Xu
doaj   +1 more source

Error Bounds for Optimal Definite Quadrature Formulae

Journal of Approximation Theory, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kohler, P., Nikolov, G.
openaire   +1 more source