Re: Resolving the following system of equations:

[Carlo de Falco]

On 10 Jun 2009, at 11:35, Julien Martin wrote:

> Hello,
>
> I am trying to numerically resolve the following system of equations:
>
> f9_8 = (f10,9 - c9 * f9_10 -b9 * f9_9)/a9
> f9_7 = (f10_8 - c8 * f9_9 - b8 * f9_8)/a8
> f9_6 = (f10_7 - c7 * f9_8 - b7 * f9_7)/a7
> ...
> f9_1 = (f10_2 - c2 * f9_3 - b2 * f9_2)/a2
> f9_0 = (f10_1 - c1 * f9_2 - b1 * f9_1)/a1
>
> where the following are known:
> c1,c2,c3,...,c9
> b1,b2,b3,...,b9
> a1,a2,a3,...,a9
> f10_1,f10_2,f10_3,...,f10_9
> and also f9_10, f9_0
>
> I am unsure as to how to proceed. Can anyone please help?
>
> Thanks in advance,
>
> Julien.


looks like just a  system of linear equations to me, or am I missing  
something?
If that is the case then

- let the vector f9 hold the values of f9_1, f9_2, ... f9_9
- rewrite the system in matrix form as A * f9 = b
- solve using mldivide: f9 = A \ b

c.