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On a criterion for the nonsingularity of complex matrices
Authors:
- Tomasz Szulc
Abstract
A new criterion for the nonsingularity of an n×n complex matrix is presented. Based on the criterion, new regions of localization of the eigenvalues of an arbitrary square matrix A, as well as new sufficient conditions for a square matrix to have all its eigenvalues with positive real parts, are obtained. In consequence, an inequality which is satisfied by each eigenvalue of A and a new criterion for a real square matrix to be an M-matrix are also derived. © 1992.
- Record ID
- UAM8ef412b9c2f542b39ae72201202df5e2
- Author
- Journal series
- Linear Algebra and Its Applications, ISSN 0024-3795
- Issue year
- 1992
- Vol
- 173
- Pages
- 39-56
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.1016/0024-3795(92)90421-6 Opening in a new tab
- Language
- (en) English
- Score (nominal)
- 0
- Score source
- journalList
- Publication indicators
- = 0; = 0; : 2014 = 1.311; : 2006 (2 years) = 0.585 - 2007 (5 years) =0.770
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- Uniform Resource Identifier
- https://researchportal.amu.edu.pl/info/article/UAM8ef412b9c2f542b39ae72201202df5e2/
- URN
urn:amu-prod:UAM8ef412b9c2f542b39ae72201202df5e2
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.