Quadratic Cones Invariant under Some Linear Operators

DOI10.1137/0608015zbMath0619.15022OpenAlexW2152246465MaRDI QIDQ3755590

Dragomir Ž. Djoković

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608015

zbMATH Keywords

spectral radiussubmultiplicative normindefinite Hermitian forminvariant quadratic cone

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Quadratic and bilinear forms, inner products (15A63)

Related Items (3)

On the structure of the cone of positive operators ⋮ On the Core of a Cone-Preserving Map ⋮ Invariant ellipsoidal cones

Cites Work

• A characterization of transform absolute norms
• Positive operators on the \(n\)-dimensional ice cream cone
• Matrix algebras and groups relatively bounded in norm
• Extreme Rays of Certain Cones of Hermitian Forms
• Spectral Properties of Matrices which have Invariant Cones
• Cross-Positive Matrices
• Fields of Values of a Matrix
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