| Some results on the higher rank numerical ranges of (A − λI)^(α+1) |
| کد مقاله : 1035-SLAA10 (R1) |
| نویسندگان |
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شریفه رضاقلی * دانشکده علوم پایه, گروه ریاضی, دانشگاه پیام نور |
| چکیده مقاله |
| In this paper, for the n × n matrix A with index α, the rank−k numerical range of the matrix polynomial (A − λI)^(α+1) are investigated. Also, some of algebraic and geometrical properties of them, by focus on the nilpotent and Jordan matrices, are studied. |
| کلیدواژه ها |
| Index numerical range, Index higher rank numerical range, Nilpotent matrices |
| وضعیت: پذیرفته شده مشروط برای ارائه شفاهی |