1
Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
2
Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran.
Abstract
In this note we characterize polynomial numerical hulls of matrices $A in M_n$ such that $A^2$ is Hermitian. Also, we consider normal matrices $A in M_n$ whose $k^{th}$ power are semidefinite. For such matrices we show that $V^k(A)=sigma(A)$.
Afshin, H., Mehrjoofard, M., & Salemi, A. (2013). Some results on the polynomial numerical hulls of matrices. Bulletin of the Iranian Mathematical Society, 39(3), 569-578.
MLA
H. R. Afshin; M. A. Mehrjoofard; A. Salemi. "Some results on the polynomial numerical hulls of matrices". Bulletin of the Iranian Mathematical Society, 39, 3, 2013, 569-578.
HARVARD
Afshin, H., Mehrjoofard, M., Salemi, A. (2013). 'Some results on the polynomial numerical hulls of matrices', Bulletin of the Iranian Mathematical Society, 39(3), pp. 569-578.
VANCOUVER
Afshin, H., Mehrjoofard, M., Salemi, A. Some results on the polynomial numerical hulls of matrices. Bulletin of the Iranian Mathematical Society, 2013; 39(3): 569-578.