Minimization of Nonlinear Equations using Newton's Iterative Technique
- From: abhisheksgumadi@xxxxxxxxx
- Date: 7 Oct 2006 05:38:52 -0700
Hi,
It is very nice to see such varying discussions happening in
this group on Mathematics. Though I have not posted on this group
before, I am doing it now because I feel it is only this group now
which can help me. I am doing my research in Image Processing ( its all
about beautiful mathematics). I have an energy function which is a
function of three variables, deltax, deltay, theta. I have to minimize
this equation and find the values of the three varibles. the energy
function is a nonlinear equation of these three variables. The author
even elaborates the method of minimizing it using what he calls as
Newton's method using iterations.
Though it is very interesting to find out the way he has brought in
iterations into picture and updated the value of the initial guesses
iteratively, i am not able to understand the equations exactly and the
flow of the procedure.
can you please take a function f(x,y,z) as a nonlinear
function of x y and z and tell me how to go about minimizing this
function and finding the values x y and z using iterative newton's
technique?
please assume an initial guess for the three variables as x0, y0 and
z0.
this will help me a lot in my research.
Thanks a lot for your patience. also provide me some excellent
references or links for this domain.
With Regards,
Abhishek S
.
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