A condition for the convexity of the norm-numerical range of a matrix

DOI10.1016/0024-3795(77)90028-3zbMath0355.15020OpenAlexW2086031978MaRDI QIDQ1237112

B. David Saunders

Publication date: 1977

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

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90028-3

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spectrum, resolvent (47A10) Numerical computation of matrix norms, conditioning, scaling (65F35)

Related Items

On the Geometry of Dual Pairs ⋮ A symmetric numerical range for matrices ⋮ A recurring theorem about pairs of quadratic forms and extensions: A survey ⋮ Numerical index of some polyhedral norms on the plane

Cites Work

• Bounded groups and norm-Hermitian matrices
• A symmetric numerical range for matrices
• The Bauer fields of values of a matrix
• Über den numerischen Wertebereich eines Operators
• On convexity properties of the Bauer field of values of a matrix
• Über die Ecken des numerischen Wertebereichs in einer Banachalgebra. II. (On vertices of a numerical value domain in a Banach algebra. II)
• On the field of values subordinate to a norm
• On the Geometry of Dual Pairs
• Matrices hermitian for an absolute norm
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