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Perron-Frobenius theory on the higher-rank numerical range for some classes of real matrices | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 2، دی 2021، صفحه 49-61 اصل مقاله (495.59 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.17564.1147 | ||
| نویسندگان | ||
| Mostafa Zangiabadi* 1؛ Hamidreza Afshin2 | ||
| 1Department of Mathematics, University of Hormozgan, Bandar Abbas, Iran | ||
| 2Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran. | ||
| چکیده | ||
| We present an extension of Perron-Frobenius theory to the higher-rank numerical range of real matrices. We define a new type of the rank-k numerical radius for real matrices, i.e., the sign-real rank-k numerical radius, and derive some properties of it. In addition, we extend Issos' results on the higher-rank numerical range of nonnegative matrices to real matrices. Finally, we give some examples that are used to illustrate our theoretical results. | ||
| کلیدواژهها | ||
| Sign-real rank-k numerical radius؛ sign-real spectral radius؛ Perron-Frobenius theory, signature matrices؛ higher-rank numerical range | ||
| مراجع | ||
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