Title
RankRev: aMatlab package for computing the numerical rank and updating/downdating
Document Type
Article
Publication Date
2-1-2018
Abstract
The numerical rank determination frequently occurs in matrix computation when the conventional exact rank of a hidden matrix is desired to be recovered. This paper presents a Matlab package RankRev that implements two efficient algorithms for computing the numerical rank and numerical subspaces of a matrix along with updating/downdating capabilities for making adjustment to the results when a row or column is inserted/deleted. The package and the underlying algorithms are accurate, reliable, and much more efficient than the singular value decomposition when the matrix is of low rank or low nullity.
DOI
10.1007/s11075-017-0328-7
Publication Title
Numerical Algorithms
Volume Number
77
Issue Number
2
First Page
559
Last Page
576
ISSN
10171398
Recommended Citation
Lee, Tsung Lin; Li, Tien Yien; and Zeng, Zhonggang, "RankRev: aMatlab package for computing the numerical rank and updating/downdating" (2018). Mathematics Faculty Publications. 8.
https://neiudc.neiu.edu/math-pub/8
