Characteristic bisection



I'm writing a routine that works in geometric optic for ray tracing
with non canonical surfaces ( for canonical surface i intend only
quadrics).
I'm interested to use an algorithm of bisection to search a zero of
F(x,y) = 0 (i can't derivate function, but i know that it is smothed).
The problem is that i work with a function F : R^2 -> R^2 (dominium is
a rectangle). In letterature this algorithm is called "characteristic
bisection" and works from R^n->R^n but i have not a lot of material.
Inplementing this algorithm is not elementary.
Do you have councils to give me?

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Relevant Pages

  • Re: Characteristic bisection
    ... with non canonical surfaces (for canonical surface i intend only ... quadrics). ... In letterature this algorithm is called "characteristic ... bisection" and works from R^n->R^n but i have not a lot of material. ...
    (sci.math.num-analysis)
  • Re: ? alg for bifurcation pt
    ... > For determining fixed pt we already have many alg, e.g. Netwon, bisection. ... > But do we have algorithm to determine the bifurcation point? ...
    (sci.math.num-analysis)
  • ? alg for bifurcation pt
    ... For determining fixed pt we already have many alg, e.g. Netwon, bisection. ... But do we have algorithm to determine the bifurcation point? ...
    (sci.math.num-analysis)