Optimization for math equation

y=a[e^bx-e^(-cx)]

where

 x=-0.5 to 0.5, a=10^(-4) to 10^(-5), b= 15 and c=20.

i) Find Y?

ii) By using the Values of x and y find the values of a,b and c?

[Walter Roberson]

For the "optimization", is y to be minimized or maximized?

For either minimization or maximization, you can be certain that the optimal value for a will be either the minimum or the maximum possible value, since a is a constant multiplier .

[Manikandan M]

Dear Sir, We have a problem like this

" Problem description is given below. Given a vector x and another vector y (generated from the above code), we want to fit it to a function y = A (exp(bx)-exp(-cx)). We will pretend that we do not know the values of A, b and c. We need to find these parameter values from the data."

[Torsten]

Use "lsqcurvefit".

Best wishes

Torsten.

Answer 1

[Alan Weiss]

For a more complete answer than Torsten gave, see this example, and if you have an Optimization Toolbox™ license, see this example.

Alan Weiss

MATLAB mathematical toolbox documentation