On an alternative to Gerschgorin circles and ovals of Cassini (Q1407690)
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scientific article; zbMATH DE number 1982598
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On an alternative to Gerschgorin circles and ovals of Cassini |
scientific article; zbMATH DE number 1982598 |
Statements
On an alternative to Gerschgorin circles and ovals of Cassini (English)
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16 September 2003
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Previous ideas of the author [SIAM J. Matrix Anal. Appl. 22, 1027-1037 (2001; Zbl 0986.15015)] are extended and used to establish a new result on the localization of the real eigenvalues of a real matrix. A simple example is given which shows the new bounds can be sharper than those given by Gerschgorin's theorem and Brauer's theorem on the ovals of Cassini.
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Gerschgorin circles
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ovals of Cassini
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doubly B-matrices
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localization of real eigenvalues
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