Results 31 to 40 of about 230,728 (169)

An extension of several essential numerical radius inequalities of 2 × 2 $2\times 2$ off-diagonal operator matrices

Advances in Difference Equations, 2020
In this work, we provide upper and lower bounds for the numerical radius of an n × n $n\times n$ off-diagonal operator matrix, which extends some results by Abu-Omar and Kittaneh (Stud. Math. 216:69–75, 2013; Linear Algebra Appl.
Mohammed Al-Dolat, Imad Jaradat, Dumitru Baleanu   +2 more
doaj   +1 more source

Rigorous Multiple-Precision Evaluation of D-Finite Functions in SageMath [PDF]

, 2016
We present a new open source implementation in the SageMath computer algebra system of algorithms for the numerical solution of linear ODEs with polynomial coefficients.
Mezzarobba, Marc
core   +3 more sources

Fast and Elegant Numerical Linear Algebra Using the RcppEigen Package

Journal of Statistical Software, 2013
The RcppEigen package provides access from R (R Core Team 2012a) to the Eigen (Guennebaud, Jacob, and others 2012) C++ template library for numerical linear algebra.
Douglas Bates, Dirk Eddlebuettel
doaj  

Block-pulse functions method for solving three-dimensional fractional Poisson type equations with Neumann boundary conditions

Boundary Value Problems, 2018
In this paper, a numerical scheme based on the three-dimensional block-pulse functions is proposed to solve the three-dimensional fractional Poisson type equations with Neumann boundary conditions.
Jiaquan Xie, Zhibin Yao, Ruirui Wu, Xiaofeng Ding, Jun Zhang   +4 more
doaj   +1 more source

Convergence on Gauss-Seidel iterative methods for linear systems with general H-matrices

, 2014
It is well known that as a famous type of iterative methods in numerical linear algebra, Gauss-Seidel iterative methods are convergent for linear systems with strictly or irreducibly diagonally dominant matrices, invertible $H-$matrices (generalized ...
Luo, Shuanghua, Ye, Dan, Zhang, Cheng-yi, Zhong, Cong-lei   +3 more
core   +1 more source

The Matlab Radial Basis Function Toolbox

Journal of Open Research Software, 2017
Radial Basis Function (RBF) methods are important tools for scattered data interpolation and for the solution of Partial Differential Equations in complexly shaped domains.
Scott A. Sarra
doaj   +1 more source

Image encryption algorithm for crowd data based on a new hyperchaotic system and Bernstein polynomial

IET Image Processing, 2021
A new two‐dimensional chaotic system in the form of a cascade structure is designed, which is derived from the Chebyshev system and the infinite collapse system.
Donghua Jiang, Lidong Liu, Xingyuan Wang, Xianwei Rong   +3 more
doaj   +1 more source

Spectral Condition Numbers of Orthogonal Projections and Full Rank Linear Least Squares Residuals

, 2010
A simple formula is proved to be a tight estimate for the condition number of the full rank linear least squares residual with respect to the matrix of least squares coefficients and scaled 2-norms.
Grcar, Joseph F.
core   +1 more source

Unified left eigenvector (ULEV) for blind source separation

Electronics Letters, 2022
A joint analysis method is proposed for source separation from multiple datasets. In this method, sources with the greatest impact on the multiple datasets are identified and then are sequentially separated. The method utilizes the advantage of structure
Erfan Naghsh, Mohammad Danesh, Soosan Beheshti   +2 more
doaj   +1 more source

The numerical range of positive operators on Hilbert lattices [PDF]

, 2018
We show symmetry properties of the numerical range of positive operators on Hilbert lattices. These results generalise the respective properties for positive matrices shown in Li etal. (Linear Algebra Appl 350:1-23, 2002) and Maroulas etal.
Radl, Agnes
core