Numerical radius inequalities for \(n \times n\) operator matrices

DOI10.1016/j.laa.2013.09.049zbMath1316.47005OpenAlexW2077356691MaRDI QIDQ2512795

Amer Abu-Omar, Fuad Kittaneh

Publication date: 30 January 2015

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.09.049

zbMATH Keywords

inequalityoperator normnumerical radiusoperator matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Numerical range, numerical radius (47A12)

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Cites Work

• Estimates for the numerical radius and the spectral radius of the Frobenius companion matrix and bounds for the zeros of polynomials
• Numerical radius inequalities for certain \(2 \times 2\) operator matrices
• On numerical radius of a matrix and estimation of bounds for zeros of a polynomial
• Upper and lower bounds for the numerical radius with an application to involution operators
• Bounds for the zeros of polynomials from matrix inequalities
• Norm inequalities of positive operator matrices
• On upper and lower bounds of the numerical radius and an equality condition
• Matrix Analysis
• A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix
• Numerical radius inequalities for operator matrices
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