"RankRev: aMatlab package for computing the numerical rank and updating" by Tsung Lin Lee, Tien Yien Li et al.
 

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

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