PERRON-FROBENIUS THEORY ON THE NUMERICAL RANGE FOR SOME CLASSES OF REAL MATRICES

Authors

  • HAMID REZA AFSHIN DEPARTMENT OF MATHEMATICS, VALI-E-ASR UNIVERSITY OF RAFSANJAN, P. O. BOX 518, RAFSANJAN, IRAN
  • MOSTAFA ZANGIABADI DEPARTMENT OF MATHEMATICS, HORMOZGAN UNIVERSITY, P. O. BOX 3995, BANDAR ABBAS, IRAN
Abstract:

We give further results for Perron-Frobenius theory on the numericalrange of real matrices and some other results generalized from nonnegative matricesto real matrices. We indicate two techniques for establishing the main theorem ofPerron and Frobenius on the numerical range. In the rst method, we use acorresponding version of Wielandt's lemma. The second technique involves graphtheory.

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Journal title

volume 2  issue 2

pages  1- 15

publication date 2014-11-23

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