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BY-NC-ND 3.0 license Open Access Published by De Gruyter Open Access June 3, 2016

Ranks of permutative matrices

  • Xiaonan Hu , Charles R. Johnson , Caroline E. Davis and Yimeng Zhang
From the journal Special Matrices


A new type of matrix, termed permutative, is defined and motivated herein. The focus is upon identifying circumstances under which square permutative matrices are rank deficient. Two distinct ways, along with variants upon them are given. These are a special kind of grouping of rows and a type of partition in which the blocks are again permutative. Other, results are given, along with some questions and conjectures.


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Received: 2015-10-26
Accepted: 2016-5-7
Published Online: 2016-6-3

©2016 Xiaonan Hu et al.

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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