Author:
Hu Xiaonan,Johnson Charles R.,Davis Caroline E.,Zhang Yimeng
Abstract
AbstractA 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.
Subject
Geometry and Topology,Algebra and Number Theory
Reference1 articles.
1. On the similarity classes among products of m nonsingular matrices in various orders Linear;Furtado;Algebra Appl,2014
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