๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Effect of small rank modification on the condition number of a matrix

โœ Scribed by Xinmao Wang


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
422 KB
Volume
54
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

โœฆ Synopsis


The condition number of a matrix plays an important role in numerical matrix computations. In this paper, we investigate how much the small rank modification method can reduce the condition number of a matrix.


๐Ÿ“œ SIMILAR VOLUMES


Some remarks on the condition number of
โœ J.A. Cuesta-Albertos; M. Wschebor ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 135 KB

In this paper we obtain some bounds for the expectation of the logarithm of the condition number of a random matrix whose elements are independent and identically distributed random variables. We also include some examples and extensions to cover the smoothed analysis as well as higher order moments

A note on the condition of a matrix
โœ Graeme Fairweather ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 144 KB