Theoretical and numerical considerations about Padé approximants for the matrix...

• Author(s): Cardoso, J. R. ; Silva Leite, F.
• Date: 2001
• Persistent ID: http://hdl.handle.net/10316/4648
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): P-orthogonal groups; Matrix logarithms; Padé approximants; Condition number
• Document Type: Article
• Language: English

Description

We show that for a vast class of matrix Lie groups, which includes the orthogonal and the symplectic, diagonal Padé approximants of log((1+x)/(1-x)) are structure preserving. The conditioning of these approximants is analyzed. We also present a new algorithm for the Briggs-Padé method, based on a strategy for reducing the number of square roots in the inverse scaling and squaring procedure. http://www.sciencedirect.com/science/article/B6V0R-439WFRV-4/1/a3695a33e70aef2dd31f867ef9c1c8fc