Nonnegative realization of spectra having negative real parts

Nonnegative realization of spectra having negative real parts
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DOI:
10.1016/j.laa.2005.12.008
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发表时间:
2006-07
影响因子:
1.1
通讯作者:
T. Laffey;Helena Šmigoc
T. Laffey;Helena Šmigoc
中科院分区:
数学3区
文献类型:
--
作者:
T. Laffey;Helena Šmigoc

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非负特征值反问题是确定一列复数σ为非负矩阵谱的充分必要条件的问题。本文完全解决了给定表σ中除一个(Perron特征值)外的所有数的实部小于等于零的问题。
The nonnegative inverse eigenvalue problem (NIEP) is the problem of determining necessary and sufficient conditions for a list of complex numbers σ to be the spectrum of a nonnegative matrix. In this paper the problem is completely solved in the case when all numbers in the given list σ except for one (the Perron eigenvalue) have real parts smaller than or equal to zero.