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Geoff Oxberry
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Large-scale box-constrained linear leqasleast-squares with constraints

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Alexander
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Large-scale linear leqas-squares with constraints

I need to solve

$$\mbox{min}||Ax - b||_2^2 \quad \mbox{s.t.} \quad l \leq x \leq u,$$

where $A \in R^{m \times n}$, $m \ll n$, $n \approx 10^4-10^5$.

BVLS [1] based on active-set method works fine for small problems, but it is too slow for large-scale problems I have.

Are there any other (maybe approximate) methods to deal with such problems?

[1] http://www.stat.berkeley.edu/~stark/Preprints/bvls.pdf