Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/4648
Title: | Theoretical and numerical considerations about Padé approximants for the matrix logarithm | Authors: | Cardoso, J. R. Silva Leite, F. |
Keywords: | P-orthogonal groups; Matrix logarithms; Padé approximants; Condition number | Issue Date: | 2001 | Citation: | Linear Algebra and its Applications. 330:1-3 (2001) 31-42 | Abstract: | 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. | URI: | https://hdl.handle.net/10316/4648 | DOI: | 10.1016/S0024-3795(01)00251-8 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
filecc3307f1fa2640c4bcb8705ac3c5e96c.pdf | 95.83 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
15
checked on Jul 22, 2024
WEB OF SCIENCETM
Citations
13
checked on Jul 2, 2024
Page view(s)
348
checked on Jul 16, 2024
Download(s)
294
checked on Jul 16, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.