Error Analysis of Direct Methods of Matrix Inversion
- 1 July 1961
- journal article
- Published by Association for Computing Machinery (ACM) in Journal of the ACM
- Vol. 8 (3) , 281-330
- https://doi.org/10.1145/321075.321076
Abstract
Summary:The matrix of the system of linear algebraic equations, arising in the application of the finite element method to one-dimensional problems, is a bandmatrix. In approximations of high order, the band is very wide but the elements situated far from the diagonal of the matrix are negligibly small as compared with the diagonal elements. The aim of the paper is to show on a model problem that in practice it is possible to work with a matrix of the system the bandwidth of which is reduced. A simple numerical example illustates the discussionKeywords
This publication has 4 references indexed in Scilit:
- Error analysis of floating-point computationNumerische Mathematik, 1960
- Sequential Reduction to Tridiagonal FormJournal of the Society for Industrial and Applied Mathematics, 1959
- Unitary Triangularization of a Nonsymmetric MatrixJournal of the ACM, 1958
- Numerical inverting of matrices of high orderBulletin of the American Mathematical Society, 1947