Ranks of permutative matrices

Xiaonan Hu, et al. "Ranks of permutative matrices." Special Matrices 4.1 (2016): 233-246. <http://eudml.org/doc/281321>.

@article{XiaonanHu2016,
abstract = {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.},
author = {Xiaonan Hu, Charles R. Johnson, Caroline E. Davis, Yimeng Zhang},
journal = {Special Matrices},
keywords = {h, k-partition; h, k, g-partition; Identically singular; Latin square; Permutative matrix; Polynomial matrix; Row grouping; -partition; -partition; identically singular; permutative matrix; polynomial matrix; row grouping},
language = {eng},
number = {1},
pages = {233-246},
title = {Ranks of permutative matrices},
url = {http://eudml.org/doc/281321},
volume = {4},
year = {2016},
}

TY - JOUR
AU - Xiaonan Hu
AU - Charles R. Johnson
AU - Caroline E. Davis
AU - Yimeng Zhang
TI - Ranks of permutative matrices
JO - Special Matrices
PY - 2016
VL - 4
IS - 1
SP - 233
EP - 246
AB - 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.
LA - eng
KW - h, k-partition; h, k, g-partition; Identically singular; Latin square; Permutative matrix; Polynomial matrix; Row grouping; -partition; -partition; identically singular; permutative matrix; polynomial matrix; row grouping
UR - http://eudml.org/doc/281321
ER -