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Tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute
- Source :
-
Linear Algebra & its Applications . Nov2012, Vol. 437 Issue 9, p2091-2109. 19p. - Publication Year :
- 2012
-
Abstract
- Abstract: This paper concerns with the tripotency of a linear combination of three matrices, which has a background in statistical theory. We demonstrate all the possible cases that lead to the tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute. By utilizing block technique and returning the partitioned matrices to their original forms, we derive the sufficient and necessary conditions such that a linear combination of three mutually commuting involutory matrices is tripotent. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 437
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 78145757
- Full Text :
- https://doi.org/10.1016/j.laa.2012.05.035