| Full text | |
| Author(s): |
Abara, Ma. Nerissa M.
;
Merino, Dennis I.
;
Rabanovich, Viacheslav I.
;
Sergeichuk, Vladimir V.
;
Sta. Maria, John Patrick
Total Authors: 5
|
| Document type: | Journal article |
| Source: | Linear Algebra and its Applications; v. 508, p. 246-254, NOV 1 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
An n x n complex matrix A is called coninvolutory if (A) over barA = I-n and skew-coninvolutory if (A) over barA = -I-n (which implies that n is even). We prove that each matrix of size n x n with n > 1 is a sum of 5 coninvolutory matrices and each matrix of size 2m x 2m is a sum of 5 skew-coninvolutory matrices. We also prove that each square complex matrix is a sum of a coninvolutory matrix and a condiagonalizable matrix. A matrix M is called condiagonalizable if M = (S) over bar -1DS in which S is nonsingular and D is diagonal. (C) 2016 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 15/05864-9 - Classification problems in linear algebra and system theory |
| Grantee: | Vyacheslav Futorny |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |