Linear maps which preserve a balanced nonsingular inertia class

DOI10.1016/0024-3795(90)90015-5zbMath0706.15025OpenAlexW2066635123MaRDI QIDQ919071

Raphael Loewy

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0024-3795(90)90015-5

zbMATH Keywords

inertiareal symmetric matriceslinear transformations

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Linear preservers of balanced singular inertia classes ⋮ Linear preservers on spaces of Hermitian or real symmetric matrices ⋮ Linear preservers of balanced nonsingular inertia classes ⋮ Linear maps preserving regional eigenvalue location ⋮ Chapter 3:inertia preservers ⋮ Linear operators preserving unitaryt-congruence (orthogonal similarity) on complex (real) matrices ⋮ Linear operators preserving unitaryt-congruence (orthogonal similarity) on complex (real) matrices

Cites Work

• Subspaces of symmetric matrices containing matrices with a multiple first eigenvalue
• Sur une généralisation du groupe orthogonal à quatre variables
• Signature preserving linear maps of Hermitian matrices
• On Spaces of Linear Transformations with Bounded Rank
• Linear Maps That Preserve an Inertia Class
• Linear maps on Hermitian matrices: the stabilizer of an inertia class, II
• Linear Preservers of the Class of Hermitian Matrices with Balanced Inertia

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