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
Pages
10
From page
23
To page
32
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
Serial Year
2017
Record number
2450833
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