Fast matrix rank algorithms and applications
Journal of the ACM (JACM), , ArticleNo.31, 2013.
matrix rank algorithmcombinatorial optimizationw wn matrix arandomized algorithmMore(11+)
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
PPT (Upload PPT)