Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/13059
Title: Preservers of eigenvalue inclusion sets of matrix products
Authors: Forstall, V
Herman, A
Li, CK
Sze, NS 
Yannello, V
Keywords: Brauer's set
Cassini ovals
Gershgorin regions
Ostrowski set
Preservers
Issue Date: 2011
Publisher: North-Holland
Source: Linear algebra and its applications, 2011, v. 434, no. 1, p. 285-293 How to cite?
Journal: Linear algebra and its applications 
Abstract: For a square matrix A, let S(A) be an eigenvalue inclusion set such as the Gershgorin region, the union of Cassini ovals, and the Ostrowski's set. Characterization is obtained for maps Φ on n×n matrices satisfying S(Φ(A)Φ(B))=S(AB) for all matrices A and B.
URI: http://hdl.handle.net/10397/13059
ISSN: 0024-3795
EISSN: 1873-1856
DOI: 10.1016/j.laa.2010.08.016
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