[Numpy-discussion] Matrix square root
alnesbit at students.cs.mu.oz.au
Sun Sep 7 03:50:07 CDT 2003
Bernard Frankpitt <frankpit at erols.com> writes:
[snip... finding matrix square root through eigenvalue decomposition.]
> The only problem with this approach is that you have to find all the
> eigenvalues and eigenvectors to get the spectral decomposition. For
> large, poorly conditioned matrices this can be a source of significant
> errors, and a lot of work. An alternative, and often faster and more
> accurate approach is to use a series expansion for the square
> root. Evaluating the series expansion only requires multiplication.
This technique sounds like it's definitely worth checking out.
Thankyou for the tip.
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