On Mon, 2007-02-12 at 18:55 -0500, Dan Stanger wrote:
> An example which occurs in practice is forming the state variable
> equations, of a linear electrical
> circuit. A tree is formed containing all the capacitors, and non of
> the
> inductors. Then matrixes are
> formed to eliminate link resistors, and tree resistors, from the
> equations. Some circuits have no
> link resistors, or tree resistors, in this case these matrixes have
> one
> dimension 0, but the other
> dimension equal to the number of capacitors, or inductors
> respectively.
What are those matrices multiplied by? I'm used to writing a matrix
with the resistances, which multiplies a matrix with the currents,
which is added to another matrix, with the inverses of the capacities,
multiplied by a matrix with the charges. If there are no resistances
the resistors matrix is zero, but it does not have dimension zero.
I'd like to see one of the equations you are referring to.
Regards,
Jaime Villate