Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639188 | Journal of Computational and Applied Mathematics | 2013 | 9 Pages |
Abstract
A representation for the entries of the inverse of general tridiagonal matrices is based on the determinants of their principal submatrices. It enables us to introduce, through the linear recurrence relations satisfied by such determinants, a simple algorithm for the entries of the inverse of any tridiagonal nonsingular matrix, reduced as well as unreduced. The numerical approach is preserved here, without invoking the symbolic computation. For tridiagonal diagonally dominant matrices, a scaling transformation on the recurrences allows us to give another algorithm to avoid overflow and underflow.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. Abderramán Marrero, M. Rachidi, V. Tomeo,