Completely positive rooted matrices

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• 作者：Luigi Salce ^{salce@math.unipd.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15B48 ; 15B57 ; 15A18 ; 15B35
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 September 2016
• 年：2016
• 卷：505
• 期：Complete
• 页码：211-223
• 全文大小：311 K

文摘

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.