# Logarithm of a matrix

I am looking for a reference to study logarithm of an invertible triangular matrix. What is a good algorithm? Are there any good reference which studies this topic both theoretically and from an algorithm view point? I am also looking for structure of the logarithm of an upper/lower triangular invertible matrix.

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WHat is the algorithm though? Is there a particular structure for log of upper traingular matrix? By that I mean: if $U$ is upper triangular, is there any structure to $exp(U)$. thank you. – Turbo Jun 5 '11 at 23:48
I mean $log(U)$ – Turbo Jun 5 '11 at 23:48
$\log(U)$ is upper triangular. – Federico Poloni Jun 6 '11 at 12:42