optimization with many variables - lsqnonlin

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Hi, I have an optimization problem with a large amount of variables. could be 100-10,000. Assuming that I can produce a similar amount of function, and that I have good starting guess, How many variables can lsqnonlin handle?
Is there a better mathod to solve these type of problems?
thanks

采纳的回答

Alan Weiss
Alan Weiss 2014-2-13
There is no set limit on the number of variables you can use. People routinely use Optimization Toolbox to solve nonlinear problems with thousands of variables. With a good starting guess, you can expect lsqnonlin to work.
That said, there are techniques that can speed lsqnonlin, such as using a Jacobian pattern or analytic Jacobian, or even a Jacobian multiply function. See lsqnonlin options.
Alan Weiss
MATLAB mathematical toolbox documentation

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Abdelwahab Afifi
Abdelwahab Afifi 2020-5-12
I wanna avoid defining these large variables manually. Is there any simple method for this?
x(1) x(2) x(3) ...... x(n)

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