NONNEGATIVE MATRICES THAT ARE SIMILAR TO POSITIVE MATRICES

Laffey TJ; Loewy R; Smigoc H

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NONNEGATIVE MATRICES THAT ARE SIMILAR TO POSITIVE MATRICES

机译：与正矩阵相似的非负矩阵

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We study the question in which nonnegative matrices are similar to positive matrices first raised by Borobia and Moro in 1997. We identify certain classes of nonnegative matrices that are not similar to positive matrices and solve the problem when an n x n nonnegative matrix has exactly n or n + 1 elements equal to zero.

机译：我们研究了非负矩阵与Borobia和Moro于1997年首次提出的正矩阵相似的问题。我们确定了某些与正矩阵不相似的非负矩阵，并解决了当nxn非负矩阵恰好具有n或n时的问题。 + 1个元素等于零。

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《SIAM Journal on Matrix Analysis and Applications》 |2010年第2期|共21页
作者
Laffey TJ; Loewy R; Smigoc H;
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正文语种 eng
中图分类矩阵论;
关键词
nonnegative matrices; positive matrices; similarity;

机译：非负矩阵;正矩阵;相似度;

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专利

1. NONNEGATIVE MATRICES THAT ARE SIMILAR TO POSITIVE MATRICES [J] . Laffey TJ, Loewy R, Smigoc H SIAM Journal on Matrix Analysis and Applications . 2010,第2期

机译：与正矩阵相似的非负矩阵
2. When are nonnegative matrices product of nonnegative idempotent matrices? [J] . Alahmadi A., Jain S. K., Leroy A. Linear & Multilinear Algebra: An International Journal Publishing Articles, Reviews and Problems . 2018,第1a4期

机译：什么时候是非负幂等矩阵的非负矩阵产物？
3. A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices [J] . Zaslavsky BG., McDonald JJ. Linear Algebra and its Applications . 2003,第0期

机译：具有非负矩阵性质的类似于最终非负矩阵的约旦规范形式的表征
4. On JEVD of semi-definite positive matrices and CPD of nonnegative tensors [C] . Rémi André, Laurent Albera, Xavier Luciani, IEEE Sensor Array and Multichannel Signal Processing Workshop . 2016

机译：半定正矩阵的JEVD和非负张量的CPD
5. Characterizations of matrices enjoying the Perron-Frobenius property and generalizations of M-matrices which may not have nonnegative inverses. [D] . Elhashash, Abed. 2008

机译：享受Perron-Frobenius属性的矩阵的刻画以及可能没有非负逆的M矩阵的推广。
6. A Comparative Study of the Application of Fluorescence Excitation-Emission Matrices Combined with Parallel Factor Analysis and Nonnegative Matrix Factorization in the Analysis of Zn Complexation by Humic Acids [O] . Patrycja Boguta, Piotr M. Pieczywek, Zofia Sokołowska 2016

机译：荧光激发-发射矩阵与平行因子分析和非负矩阵分解相结合在腐植酸锌络合分析中的比较研究
7. On nonnegative matrices similar to positive matrices [O] . Borobia Alberto, Moro Julio 1997

机译：关于类似于正矩阵的非负矩阵
8. M-MATRICES MATRICES WITH NONPOSITIVE OFF-DIAGONAL ELEMENTS AND POSITIVE PRINCIPAL MINORS [R] . MITUHIKO ARAKI 1974

机译：m-maTRICEs矩阵具有非对立的非对角元素和积极的主要未成年人

NONNEGATIVE MATRICES THAT ARE SIMILAR TO POSITIVE MATRICES

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