Theoretical and numerical considerations about Padé approximants for the matrix logarithm

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 st...

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Bibliographic Details
Main Author: Cardoso, J. R. (author)
Other Authors: Silva Leite, F. (author)
Format: article
Language:eng
Published: 2001
Subjects:
Online Access:http://hdl.handle.net/10316/4648
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/4648