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   perron-frobenius theory on the numerical range for some classes of real matrices  
   
نویسنده zangiabadi mostafa ,afshin hamid reza
منبع journal of mahani mathematical research - 2013 - دوره : 2 - شماره : 2 - صفحه:1 -15
چکیده    We give further results for perron-frobenius theory on the numerical range of real matrices and some other results generalized from nonnegative matri- ces to real matrices. we present an extension of perron-frobenius theory to the spectrum and the numerical range of real matrices. we indicate two techniques for establishing the main theorem of perron and frobenius on the numerical range. in the rst method, we use a corresponding version of wielandt's lemma. the second technique involves graph theory.
کلیدواژه sign-real numerical radius ,sign-real spectral radius ,perron-frobenius theory ,signature matrices ,numerical range
آدرس hormozgan university, department of mathematics, ایران, vali-e-asr university of rafsanjan, department of mathematics, ایران
پست الکترونیکی afshin@vru.ac.ir
 
     
   
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