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
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
