全正幂矩阵及其推广
Matrices with totally positive powers and their generalizations
摘要:
本文研究了最终全正矩阵(即从某点开始的所有幂都是全正的矩阵)。基于最终正矩阵理论,提出了一种最终全正性的新方法。我们主要研究这类矩阵的谱性质。最后研究了J-符号对称矩阵和幂为P-矩阵的矩阵。
英文摘要:
In this paper, eventually totally positive matrices (i.e. matrices all whose powers starting with some point are totally positive) are studied. We present a new approach to eventual total positivity which is based on the theory of eventually positive matrices. We mainly focus on the spectral properties of such matrices. We also study eventually J-sign-symmetric matrices and matrices, whose powers are P-matrices.
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