Solving an equation where 2 variables are dependant through a table

Hi. I have a simple equation: rho = M/ V/ (1-P*k)

M, V and k are known constants.

neither rho nor P are known but rho is a function of P, and there's a table where for each value of P a coresponding value of rho is specified.

how do I find the P and rho that solve the eqaution?

Thanks

Answer 1

[Matt J]

If T is your table,

rho=@(Pq) interp1(T.P,T.rho,Pq);

P=fminsearch(@(P) norm( rho(P) - M/ V/ (1-P*k) ),   P0 ) ;

rho=rho(P)

[Matt J]

Yuri Katz's reply moved here:

works like a charm, thanks Matt

[Matt J]

You're quite welcome.