Results 11 to 20 of about 463,737 (318)

Jacobi-weighted orthogonal polynomials on triangular domains

Journal of Applied Mathematics, 2005
We construct Jacobi-weighted orthogonal polynomials 𝒫n,r(α,β,γ)(u,v,w),α,β,γ>−1,α+β+γ=0, on the triangular domain T. We show that these polynomials 𝒫n,r(α,β,γ)(u,v,w) over the triangular domain T satisfy the following properties: 𝒫n,r(α,β,γ)(u,v,w)∈ℒn,n ...
A. Rababah, M. Alqudah
doaj   +2 more sources

Optimal Design of Group Orthogonal Phase-Coded Waveforms for MIMO Radar

Mathematics
Digital radio frequency memory (DRFM) has emerged as an advanced technique to achieve a range of jamming signals, due to its capability to intercept waveforms within a short time. multiple-input multiple-output (MIMO) radars can transmit agile orthogonal
Tianqu Liu, Jinping Sun, Guohua Wang, Xianxun Yao, Yaqiong Qiao   +4 more
doaj   +2 more sources

Function weighted measures and orthogonal polynomials on Julia sets [PDF]

Constructive Approximation, 1988
Let T(z) be a monic polynomial of degree \(d\geq 2\) chosen so that its Julia set J is real. A class of invariant measures supported on J is constructed and discussed. We then construct the Jacobi matrices associated with these measures and show that they satisfy a renormalization group equation, a special case of which was discovered by Bellissard ...
Bessis, D., Geronimo, J. S., Moussa, P.
openaire   +3 more sources

Solving Weighted Orthogonal Procrustes Problems via a Projected Gradient Method

Trends in Computational and Applied Mathematics
This paper proposes a family of line--search methods to deal with weighted orthogonal procrustes problems. In particular, the proposed family uses a search direction based on a convex combination between the Euclidean gradient and the Riemannian gradient
H. F. Oviedo Leon, S. Guerrero
doaj   +2 more sources

Cesàro Means of Weighted Orthogonal Expansions on Regular Domains

Mathematics, 2022
In this paper, we investigate Cesàro means for the weighted orthogonal polynomial expansions on spheres with weights being invariant under a general finite reflection group on Rd.
Han Feng, Yan Ge
semanticscholar   +1 more source

Research on Stock Price Prediction Based on Orthogonal Gaussian Basis Function Expansion and Pearson Correlation Coefficient Weighted LSTM Neural Network

Advances in Computer Signals and Systems, 2022
: For stock price prediction in quantitative finance, deep learning techniques such as LSTM neural network do not need the stationarity assumption of traditional time series models (such as ARIMA and GARCH) and can forecast medium and long-term time ...
Shun-Fu Lin, Yuan Feng
semanticscholar   +1 more source

A Weighted Autoencoder-Based Approach to Downlink NOMA Constellation Design [PDF]

International Workshop on Signal Processing Advances in Wireless Communications, 2023
End-to-end design of communication systems using deep autoencoders (AEs) is gaining attention due to its flexibility and excellent performance. Besides single-user transmission, AE-based design is recently explored in multi-user setup, e.g., for ...
Vukan Ninkovic, D. Vukobratović, A. Pastore, C. Antón-Haro   +3 more
semanticscholar   +1 more source

High-speed, high-power motor design for a four-legged robot actuator optimized using the weighted sum and response surface methods

CES Transactions on Electrical Machines and Systems, 2021
In this paper, a design is presented for a high-speed, high-power motor for a four-legged robot actuator that was optimized using the weighted sum method (WSM) based on the Taguchi method, and the response surface method (RSM).
Tae-Woo Lee, Do-Kwan Hong, Tae-Uk Jung
doaj   +1 more source

A functional CLT for partial traces of random matrices [PDF]

, 2018
In this paper we show a functional central limit theorem for the sum of the first $\lfloor t n \rfloor$ diagonal elements of $f(Z)$ as a function in $t$, for $Z$ a random real symmetric or complex Hermitian $n\times n$ matrix.
Nagel, Jan
core   +3 more sources

A novel method of constructing compactly supported orthogonal scaling functions from splines

Journal of Inequalities and Applications, 2017
A novel construction of compactly supported orthogonal scaling functions and wavelets with spline functions is presented in this paper. Let M n $M_{n}$ be the center B-spline of order n, except for the case of order one, we know M n $M_{n}$ is not ...
Shouzhi Yang, Huiqing Huang
doaj   +1 more source