佩龙相似度的克罗内克积

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2021-10-27 DOI:10.13001/ela.2022.6697

J. Dockter, Pietro Paparella, R. L. Perry, Jonathan D Ta

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引用次数: 0

摘要

如果一个可逆矩阵的其中一列及其逆矩阵的对应行都是非负的或者都是非正的，那么这个矩阵就被称为Perron相似。这类矩阵在非负特征值反问题的研究中具有重要的意义。在这项工作中，研究了Perron相似度的Kronecker积，并使用它来构造所有行都是极值的理想Perron相似度。

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Kronecker products of Perron similarities

An invertible matrix is called a Perron similarity if one of its columns and the corresponding row of its inverse are both nonnegative or both nonpositive. Such matrices are of relevance and import in the study of the nonnegative inverse eigenvalue problem. In this work, Kronecker products of Perron similarities are examined and used to construct ideal Perron similarities all of whose rows are extremal.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.