Results 41 to 50 of about 231,311 (211)
Gaussian elimination as an iterative algorithm [PDF]
, 2013 Gaussian elimination (GE) for solving an $n \times n$ linear system of equations $Ax=b$ is the archetypical direct method of numerical linear algebra, as opposed to iterative.
Townsend, Alex, Trefethen, Lloyd N.
core +1 more source
Variable-step finite difference schemes for the solution of Sturm-Liouville problems
, 2014 We discuss the solution of regular and singular Sturm-Liouville problems by means of High Order Finite Difference Schemes. We describe a code to define a discrete problem and its numerical solution by means of linear algebra techniques.
Amodio, Pierluigi, Settanni, Giuseppina
core +1 more source
Practical Sparse Matrices in C++ with Hybrid Storage and Template-Based Expression Optimisation
Mathematical and Computational Applications, 2019 Despite the importance of sparse matrices in numerous fields of science, software implementations remain difficult to use for non-expert users, generally requiring the understanding of the underlying details of the chosen sparse matrix storage format. In
Conrad Sanderson, Ryan Curtin
doaj +1 more source
Aplicando o software Winplot para o ensino de sistemas de lineares.
EaD & Tecnologias Digitais na Educação, 2017 This paper describes the application of mathematical software Winplot in teaching of Linear Algebra. The use of computational resources as a didactic tool can, in addition to motivating mathematics classes, facilitate the formation of concepts and deepen
Paulo Cleber Mendonça +2 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 +3 more
core +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
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
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 +2 more
doaj +1 more source
Instabilities of Electroweak Strings
, 1995 We investigate the instabilities of low winding number electroweak strings using standard numerical techniques of linear algebra. For strings of unit winding we are able to confirm and extend existing calculations of the unstable region in the ($m_H/m_W,\
Achúcarro +14 more
core +1 more source