Fast matrix rank algorithms and applications

Journal of the ACM (JACM), , ArticleNo.31, 2013.

Cited by: 32|Bibtex|Views14|Links
EI
Keywords:
matrix rank algorithmcombinatorial optimizationw wn matrix arandomized algorithmMore(11+)

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

Code:

Data:

Your rating :
0

 

Tags
Comments