Exponentials of symmetric matrices through tridiagonal reductions
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 317-324 |
| Journal / Publication | Linear Algebra and Its Applications |
| Volume | 279 |
| Issue number | 1-3 |
| Publication status | Published - 15 Aug 1998 |
Link(s)
Abstract
A simple and efficient numerical algorithm for computing the exponential of a symmetric matrix is developed in this paper. For an n × n matrix, the required number of operations is around 10/3 n3. It is based on the orthogonal reduction to a tridiagonal form and the Chebyshev uniform approximation of e-x on [0, ∞). ©1998 Elsevier Science Inc. All rights reserved.
Research Area(s)
- Chebyshev approximation, Matrix exponential, Tridiagonal reduction
Citation Format(s)
Exponentials of symmetric matrices through tridiagonal reductions. / Lu, Ya Yan.
In: Linear Algebra and Its Applications, Vol. 279, No. 1-3, 15.08.1998, p. 317-324.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
