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Preservers of eigenvalue inclusion sets of matrix products

โœ Scribed by Virginia Forstall; Aaron Herman; Chi-Kwong Li; Nung-Sing Sze; Vincent Yannello


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
190 KB
Volume
434
Category
Article
ISSN
0024-3795

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A matrix A is said to be matrix majorized by a matrix B, written A โ‰บ B, if there exists an n ร— n row stochastic matrix X such that A = BX. This is a generalization of multivariate majorization. In this paper, we characterize the linear operators that strongly preserve the matrix majorization.