Exponentials of symmetric matrices through tridiagonal reductions

✍ Scribed by Ya Yan Lu

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 473 KB
• Volume: 279
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(98)00017-2

✦ Synopsis

A simple and efficient numerical algorithm for computing the exponential of a symmetric matrix is developed in this Paper. For an n x n matrix. the required number ot operations is around 10/3 n3. It is based on the orthogonal reduction to a tridiagonal form and the Chebyshev uniform approximation of em" on [O. x).