Optimization for math equation

2018 3 22
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更新时间：2021 8 20
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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?

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Walter Roberson
Walter Roberson 2018-3-22
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
Manikandan M 2018-3-22
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
Torsten 2018-3-22
Use "lsqcurvefit".
Best wishes
Torsten.

回答（1 个）

Alan Weiss
Alan Weiss 2018-3-22

0 个投票

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

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