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Some results on Drazin-Dagger matrices, reciprocal matrices, and conjugate EP matrices | ||
| Journal of Mahani Mathematical Research | ||
| دوره 13، شماره 2 - شماره پیاپی 27، آبان 2024، صفحه 53-66 اصل مقاله (478.99 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.21769.1462 | ||
| نویسندگان | ||
| Mahdiyeh Mortezaei1؛ Gholamreza Aghamollaei* 1، 2 | ||
| 1Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| 2Mahani Mathematical Research Institute, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, a class of matrices, namely, Drazin-dagger matrices, in which the Drazin inverse and the Moore-Penrose inverse commute, is introduced. Also, some properties of the generalized inverses of these matrices, are investigated. Moreover, some results about the Moore-Penrose inverse, the Drazin inverse and the numerical range of some reciprocal matrices are obtained. In particular, the relations between reciprocal matrices, Drazin-Dagger matrices and star order are established. Also, some properties of the generalized inverses of the conjugate EP matrices are studied. To illustrate the results, some numerical examples are also given. | ||
| کلیدواژه‌ها | ||
| Moore-Penrose inverse؛ Drazin inverse؛ reciprocal matrices؛ numerical range؛ conjugate EP matrices | ||
| مراجع | ||
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