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 Post subject: Boundary Constrained Linear Least Squares?
PostPosted: Fri Jan 25, 2013 7:03 am 
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Joined: Fri Jan 25, 2013 6:51 am
Posts: 3
Hi

I'm trying to implement a boundary constrained Linear Least Squares problem using ALGLIB.

To put the problem simply, I want to find the matrix W from:

X * W = T

where
X is a matrix with 50 columns and 3 rows (3 x 50),
W is a column matrix with 50 elements (50 x 1) and
T is a column matrix with 3 element (50 x 1)

The constraints are on the values of the elements of W - let's call the elements 'w'.
0 <= w <= 1.

I've looked at the lsfitlinearc function but there doesn't seem to be an option to include boundary constraints. I also looked at the lsfit_d_nlfb example but I can't seem to comprehend how I could use it for my problem *embarassed*.

Could someone kindly help me out?
Thanks!


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 Post subject: Re: Boundary Constrained Linear Least Squares?
PostPosted: Mon Jan 28, 2013 8:59 am 
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Joined: Fri May 07, 2010 7:06 am
Posts: 927
You may reformulate it as general optimization problem and solve with BLEIC optimizer. It may take some time, but it should converge unless you have very badly conditioned problem.


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 Post subject: Re: Boundary Constrained Linear Least Squares?
PostPosted: Mon Jan 28, 2013 9:06 am 
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Joined: Fri Jan 25, 2013 6:51 am
Posts: 3
Thanks for your reply, I solved it yesterday doing the same and using lsfitfit()


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