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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2021.12
- 수록면
- 845 - 858 (14page)
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초록· 키워드
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We present new bounds for the numerical radius of bounded linear operators and 2 × 2 operator matrices. We apply upper bounds for the numerical radius to the Frobenius companion matrix of a complex monic polynomial to obtain new estimations for the zeros of that polynomial. We also show with numerical examples that our new estimations improve on the existing estimations.
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참고문헌 (20)
참고문헌 신청
A. A. Abdurakhmanov / 1988 / Geometry of a Hausdorff domain in problems of localization of the spectrum of arbitrary matrices / Math. USSR Sb 59:39~51
A. Abu-Omar / 2015 / Numerical radius inequalities for n×n operator matrices / Linear Algebra Appl 468:18~26
A. Abu-Omar / 2015 / Upper and lower bounds for the numerical radius with an application to involution operators / Rocky Mountain J. Math 45(4):1055~1065
A. Abu-Omar / 2014 / Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials / Ann. Funct. Anal 5(1):56~62
P. Bhunia / 2019 / Numerical radius inequalities and its applications in estimation of zeros of polynomials / Linear Algebra Appl 573:166~177
A. Abu-Omar / 2015 / Numerical radius inequalities for n×n operator matrices / Linear Algebra Appl 468:18~26
A. Abu-Omar / 2015 / Upper and lower bounds for the numerical radius with an application to involution operators / Rocky Mountain J. Math 45(4):1055~1065
A. Abu-Omar / 2014 / Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials / Ann. Funct. Anal 5(1):56~62
P. Bhunia / 2019 / Numerical radius inequalities and its applications in estimation of zeros of polynomials / Linear Algebra Appl 573:166~177
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