how to create functions to use with OPTIMIZATION toolbox

Hi I have a function f(x)

f(x)=(-5.1053e-24)*x.^10+ 3.1554e-20*x.^9 ...
    +(-8.007e-17)*x.^8 + (1.0766e-13)*x.^7  +  (-8.3199e-11)*x.^6 ...
    + 3.8516e-08*x.^5 ...
    +      (-1.1699e-05)*x.^4 + 0.0028143*x.^3 ... 
    +      -0.50301*x.^2 + 46.148*x +      1228.1

I am trying to set this up in a matter that I can create a valley filling solution to this function, What is the best way to create a function file for f(x) to fulfill the valley filling scenario using the OPTIMIZATION toolbox,

x is an array from 1 to 96 in steps of 1

Answer 1

[Alan Weiss]

I suggest that you read the Getting Started example.

Alan Weiss

MATLAB mathematical toolbox documentation

Answer 2

[Star Strider]

The Optimization Toolbox functions (except for lsqcurvefit) require a function with an input argument that is a vector of parameters to optimize. In your function, ‘x’ would be treated as a single parameter, and the functions would then find the one value that minimized it or equated it to zero (depending on the optimization function you call with it).

The correct syntax would be:

f = @(x) (-5.1053e-24)*x.^10+ 3.1554e-20*x.^9 ...

Please explain what you intend by ‘valley filling solution’.

What do you want to do?