TY - JOUR ID - 25012 TI - Some results on the block numerical range JO - Wavelet and Linear Algebra JA - WALA LA - en SN - 2383-1936 AU - Zangiabadi, Mostafa AU - Afshin, Hamid Reza AD - University of Hormozgan AD - Vali-e-Asr University of Rafsanjan Y1 - 2017 PY - 2017 VL - 4 IS - 1 SP - 43 EP - 51 KW - block numerical range KW - nonnegative matrix KW - numerical range KW - Perron-Frobenius theory DO - 10.22072/wala.2017.51809.1088 N2 - 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. UR - https://wala.vru.ac.ir/article_25012.html L1 - https://wala.vru.ac.ir/article_25012_c4ff34a31d45ccb5ef9f7bc71791f5b0.pdf ER -