On the Lipschitz stability of \((A, B)\)-invariant subspaces

DOI10.1016/j.laa.2012.07.051zbMath1266.15035OpenAlexW1999780427MaRDI QIDQ1932593

Ferran Puerta, Xavier Puerta

Publication date: 21 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.2012.07.051

zbMATH Keywords

\((A, B)\)-invariant subspaceLipschitz-stability

Mathematics Subject Classification ID

Canonical structure (93B10) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• Lipschitz stability of controlled invariant subspaces
• Simultaneous versal deformations of endomorphisms and invariant subspaces
• A sufficient condition for Lipschitz stability of controlled invariant subspaces
• Inertia characteristics of self-adjoint matrix polynomials
• Differentiable families of subspaces
• A homeomorphism between observable pairs and conditioned invariant subspaces
• Stable subspaces of matrix pairs
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