[ODE] Inverse transforming a vector

[Adam Moravanszky]

> Given a transform and a vector, is there a routine that will compute the
> transform^-1 * vector without actually computing the inverse of the
> transform?

You say you have:

x = T^-1 v

and want to find x

multiply both sides by T:

Tx = v

This is your typical linear equation system which can be solved for x by
Gauss elimination, LU decomposition, QR decomposition, Cholesky
factorization, and some other algorithms depending on the characteristics of
matrix T.

--
-- Adam Moravanszky
http://n.ethz.ch/student/adammo/