Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 82, 2005 - Issue 3
Submit an article Journal homepage
230
Views
2
CrossRef citations to date
0
Altmetric
Miscellany

The block lower bounds for the smallest singular value

Chuan-Long Wang Department of Mathematics, Taiyuan Teachers' College, Taiyuan, 030012, Shanxi, P. R. ChinaCorrespondence[email protected]
&
Shan-Jun Zhang Department of Applied Mathematics, Shanxi Economic University, Taiyuan, Shanxi, P. R. China
Pages 313-319 | Received 06 Nov 2003, Accepted 10 Mar 2004, Published online: 25 Jan 2007
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

In this article, we use block matrix technique to give further lower bounds for the smallest singular value of a general complex matrix. In addition, we prove that the smallest singular value of A is no less than that of the block comparison matrix of A under suitable conditions. Finally, some examples are given.

Acknowledgement

This work is supported by NSF of Shanxi Province.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,129.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.