Fri Oct 24 22:46:25 EDT 2014

Circuit simulation cont..

So if nonlinearities are approximated linearly and time steps are
small, the essential step (= solving the connected matrix equation)
will be of an update nature as well.

So why not use an interative method[1][2] to solve the matrix
inversion?  Since the system will be sparse, this will probably be
quite efficient.

It might be necessary start from a true solution but tracking should
be straightforward..

[1] http://en.wikipedia.org/wiki/Biconjugate_gradient_method
[2] http://en.wikipedia.org/wiki/Iterative_method#Linear_systems