Padé and Gregory error estimates for the logarithm of block triangular matrices

In this paper we give bounds for the error arising in the approximation of the logarithm of a block triangular matrix T by Padé approximants of the function f(x)=log[(1+x)/(1-x)] and partial sums of Gregory's series. These bounds show that if the norm of all diagonal blocks of the Cayley-transf...

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Detalhes bibliográficos
Autor principal: Cardoso, João R. (author)
Outros Autores: Silva Leite, F. (author)
Formato: article
Idioma:eng
Publicado em: 2006
Assuntos:
Texto completo:http://hdl.handle.net/10316/4619
País:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/4619