How to use the steepest descent method to solve a function.

I have an example but I still am not sure how to solve this problem. Please show me step by step on how to attack this. Thank you.

Answer 1

[Vinod Sudheesh]

Hello,

The below code snippet solves this problem using the "Gradient Descend Algorithm"

clc;
clear;

f=@(x)(25*x(1)*x(1)+20*x(2)*x(2)-2*x(1)-x(2));

x=[3 1]';
gf=@(x)([(50*x(1)-2) ; (40*x(1)-1)]);  
n=1;  
while(norm( gf(x))>0.05)     
    x= x-0.01*(1/n) *gf(x);    
    n=n+1;
end

Note that to solve this problem using the "Steepest Descend Algorithm", you will have to write additional logic for choosing the step size in every iteration.

[Sarvjeet Singh]

f=@ (x,y) a*(exp(bx))+c*x

how to solve

determine the general parameters for the non-linear fit using steepest descent method if the fit is given by for the data:

Answer 2

[seyed mohammad javad nikouei]

why solve in matlab by steepest descent?