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Fast matrix rank algorithms and applications

Journal of the ACM (JACM), no. 5 (2013): ArticleNo.31-ArticleNo.31

Cited by: 32|Views26
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Abstract

We consider the problem of computing the rank of an mxn matrix A over a field. We present a randomized algorithm to find a set of r = rank(A) linearly independent columns in O(|A| + rw) field operations, where |A| denotes the number of nonzero entries in A and w w). Our algorithm is faster when r

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