Low-rank matrix approximation in the infinity norm
نویسندگان
چکیده
منابع مشابه
Low-Rank Matrix Approximation in the Infinity Norm
The low-rank matrix approximation problem with respect to the entry-wise l∞-norm is the following: given a matrix M and a factorization rank r, find a matrix X whose rank is at most r and that minimizes maxi,j |Mij − Xij |. In this paper, we prove that the decision variant of this problem for r = 1 is NP-complete using a reduction from the problem ‘not all equal 3SAT’. We also analyze several c...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2019
ISSN: 0024-3795
DOI: 10.1016/j.laa.2019.07.017