Nonlinear Equations

• Often (most of the time??) the relevant system of equations is not linear in the unknowns.

• Then, cannot decompose as Ax = b. Oh well.

• Instead write as:

  • f(x) = 0 function of one variable (1-D)
  • f(x) = 0 x = (x1,x2,...,xn), f = (f1,f2,...,fn) (n-D)

• Not guaranteed to have any real solutions, but generally do for astrophysical problems.

Notes: