Ranks of permutative 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 pa...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2016-06-01
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| Series: | Special Matrices |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/spma.2016.4.issue-1/spma-2016-0022/spma-2016-0022.xml?format=INT |
| Summary: | 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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| ISSN: | 2300-7451 |