On the numerical range of some block matrices with scalar diagonal blocks

DOI10.1080/03081087.2020.1749225zbMath1462.15027arXiv1911.00273OpenAlexW3014564549MaRDI QIDQ5858692

Titas Geryba, Ilya M. Spitkovskij

Publication date: 14 April 2021

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

Full work available at URL: https://arxiv.org/abs/1911.00273

zbMATH Keywords

numerical rangeconvex hull

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (2)

Unnamed Item ⋮ A note on classes of structured matrices with elliptical type numerical range

Cites Work

• Unnamed Item
• Elliptic numerical ranges of bordered matrices
• Geometry of the numerical range of matrices
• Containment regions for zeros of polynomials from numerical ranges of companion matrices
• Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation \(X+A^*X^{-1}A=Q\)
• Matricial ranges of quadratic operators
• Matrices with defect index one
• Matrix Analysis
• On Matrices with Elliptical Numerical Ranges
• On the numerical range of a matrix
• Über den Wertevorrat einer Matrix

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