Article ID Journal Published Year Pages File Type
4598531 Linear Algebra and its Applications 2016 13 Pages PDF
Abstract

The classes of k-rooted and ∞-rooted completely positive matrices are introduced. It is shown that completely positive matrices with at most two different eigenvalues are ∞-rooted, and completely positive singular ∞-rooted matrices of order 3 are characterized. Positive semidefinite matrices whose large powers are non-negative are also characterized.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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