Inverses of Band Matrices and Local Convergence of Spline Projections
Author:
- Stephen DemkoSDStephen Demko
- 1 September 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 14 (4) , 616-619
Abstract
It is shown that the size of the entries in the inverse of a band matrix can be bounded in terms of the norm of the matrix, the norm of its inverse and the bandwidth. In many cases this implies that the entries of the inverse decay to zero exponentially as they move away from the diagonal. These results are used to obtain local convergence theorems for some spline projections.Keywords
This publication has 3 references indexed in Scilit:
- Local approximation properties of spline projectionsJournal of Approximation Theory, 1977
- Bounding the Error in Spline InterpolationSIAM Review, 1974
- Inequalities on the elements of the inverse of a certain tridiagonal matrixMathematics of Computation, 1970