On higher rank numerical hulls of normal matrices
عنوان مقاله: On higher rank numerical hulls of normal matrices
شناسه ملی مقاله: JR_WALA-4-1_003
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_WALA-4-1_003
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
Golamreza Aghamollaei - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
Sharifeh Rezagholi - Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
خلاصه مقاله:
Golamreza Aghamollaei - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Islamic Republic of Iran
Sharifeh Rezagholi - Department of Mathematics, Payame Noor University (PNU) ;Tehran; Islamic Republic of Iran.
In this paper, some algebraic and geometrical properties of the rank-k numerical hulls of normal matrices are investigated. A characterization of normal matrices whose rank-۱ numerical hulls are equal to their numerical range is given. Moreover, using the extreme points of the numerical range, the higher rank numerical hulls of matrices of the form A_۱ \oplus i A_۲, where A_۱ and A_۲ are Hermitian, are investigated. The higher rank numerical hulls of the basic circulant matrix are also studied.
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1902968/