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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 |
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filecc3307f1fa2640c4bcb8705ac3c5e96c.pdf | 95.83 kB | Adobe PDF | View/Open |
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