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find the minimum value of the following function .

"yi" and "xi" are the result of a complicated analysis on my lab data and I need to find a,b,c in a way that COST(a,b,c) function to be minimum.
after solving this equation by calculating the partial derivatives and force them to be equal to ZERO we obtain the attached equations for a b c.
as you can see we have to use the trial and error method to solve this problem for a b c
the problem is the first guess of a b c. based on the first guess the answer changes and usually goes to infinity !!!
Im asking you to help me to find the proper first guess.
Ive attached a set of sample xi yi data to the post too.
data_file.txt (301bytes)
Number of downloads: 11
just in case I attach the c++ class I have programmed to this post too.
PowerRegression.zip (1.45K)
Number of downloads: 9
.

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