Numerical ranges and Geršgorin discs

DOI10.1016/J.LAA.2012.09.003zbMath1259.15034OpenAlexW2074868931MaRDI QIDQ1931728

Pei Yuan Wu, Hwa-Long Gau, Kuo-Zhong Wang, Chi-Tung Chang

Publication date: 16 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.laa.2012.09.003

zbMATH Keywords

numerical rangeGeršgorin discspermutationally irreducible matricesunitarily irreducible matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

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• The numerical range of \(3 \times 3\) matrices
• The upper numerical range of a quaternionic matrix is not a complex numerical range
• Condition for the numerical range to contain an elliptic disc
• On matrices whose numerical ranges have circular or weak circular symmetry
• Matricial ranges of quadratic operators
• Matrix Analysis
• Direct sums of irreducible operators
• A Gersgorin Inclusion Set for the Field of Values of a Finite Matrix
• Über den Wertevorrat einer Matrix

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