Simultaneous versal deformations of endomorphisms and invariant subspaces

DOI10.1016/j.laa.2005.06.017zbMath1093.15002OpenAlexW2018183273MaRDI QIDQ819134

Xavier Puerta, Albert Compta, Marta Peña, Uwe R. Helmke

Publication date: 22 March 2006

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

Full work available at URL: http://hdl.handle.net/2117/922

zbMATH Keywords

invariant subspacesGrassmann manifoldLipschitz stabilityversal deformationLie group action

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Vector spaces, linear dependence, rank, lineability (15A03) Exterior algebra, Grassmann algebras (15A75)

Related Items

A sufficient condition for Lipschitz stability of controlled invariant subspaces, On the Lipschitz stability of \((A, B)\)-invariant subspaces, Matrices with eigenvectors in a given subspace, Perturbed marked reduced forms of invariant subspaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Brunowsky local form of a holomorphic family of pairs of matrices
• Topological classification and structural stability of linear systems
• Miniversal deformations of marked matrices
• On the Variety of Invariant Subspaces of a Finite-Dimensional Linear Operator
• ON MATRICES DEPENDING ON PARAMETERS
• Versal deformations of invariant subspaces