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perron-frobenius theory on the higher-rank numerical range for some classes of real matrices
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نویسنده
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zangiabadi mostafa ,afshin hamidreza
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منبع
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journal of mahani mathematical research - 2021 - دوره : 10 - شماره : 2 - صفحه:49 -61
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چکیده
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We present an extension of perron-frobenius theory to the higherrank numerical rangeof real matrices. we define a new type of the rankk numerical radius for real matrices, i.e., the sign-real rank-k numerical radius, and derive some properties of it. in addition, we extend issos’ results on the higherrank numerical range of nonnegative matrices to real matrices. finally, we give some examples that are used to illustrate our theoretical results.
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کلیدواژه
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sign-real rank-k numerical radius ,sign-real spectral radius ,perron-frobenius theory ,higher-rank numerical range
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آدرس
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university of hormozgan, department of mathematics, iran, vali-e-asr university of rafsanjan, department of mathematics, iran
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پست الکترونیکی
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hamidrezaafshin@yahoo.com
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Authors
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