Title of article :
On higher rank numerical hulls of normal matrices
Author/Authors :
Aghamollaeia, Gholamreza Department of Pure Mathematics - Faculty of Mathematics and Computer - Shahid Bahonar University of Kerman - Kerman, Islamic Republic of Iran , Rezagholib, Sharifeh Department of Mathematics - Payame Noor University (PNU) - Tehran, Islamic Republic of Iran
Abstract :
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 1 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 A1 iA2, where A1 and A2 are Hermitian, are investigated. The higher rank numerical hulls of the basic circulant matrix are also studied
Keywords :
Basic circulant matrix , Rank-k numerical hulls , normal matrices
Journal title :
Astroparticle Physics
