ISSN:
0945-3245
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary In this note, the minimal Gerschgorin setG is defined for a matrixA, relative to a matrixD and a familyF of norms. This minimal Gerschgorin set is shown to be an inclusion region for the eigenvalues of a related collection $$\widehat\Omega $$ of matrices, i.e., $$\sigma (\widehat\Omega ) \subseteq G.$$ The main result is a necessary and sufficient condition for equality to hold in the above inclusion. In addition, examples are given, one for which equality does not hold in the above inclusion.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01436567
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