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arXiv 1310.6950math.SP
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全正幂矩阵及其推广

Matrices with totally positive powers and their generalizations

Olga Y. Kushel

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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