Title of article
Some results on the block numerical range
Author/Authors
Zangiabadi, Mostafa Department of Mathematics - University of Hormozgan - Bandar Abbas, Islamic Republic of Iran , Afshinb, Hamid Reza Department of Mathematics - Vali-e-Asr University - Rafsanjan, Islamic Republic of Iran
Pages
9
From page
43
To page
51
Abstract
The main results of this paper are generalizations of classical results
from the numerical range to the block numerical range. A
different and simpler proof for the Perron-Frobenius theory on
the block numerical range of an irreducible nonnegative matrix
is given. In addition, the Wielandt’s lemma and the Ky Fan’s
theorem on the block numerical range are extended
Keywords
Perron-Frobenius theory , Nonnegative matrix , Block numerical range
Journal title
Astroparticle Physics
Serial Year
2017
Record number
2450835
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