Inertia theorems for pairs of matrices. II.

DOI10.1016/j.laa.2005.10.045zbMath1107.93027OpenAlexW2014821600MaRDI QIDQ819145

Cristina Ferreira, Fernando Conceição Silva

Publication date: 22 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2005.10.045

zbMATH Keywords

stabilitystabilizationinertia of matrices Hermiting matrices

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Eigenvalue problems (93B60) Miscellaneous inequalities involving matrices (15A45)

Cites Work

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• Some theorems on the inertia of general matrices
• Unified theorems on completions of matrix pencils
• Interlacing inequalities for invariant factors
• Imbedding conditions for \(\lambda\)-matrices
• An inertia theorem for Lyapunov's equation and the dimension of a controllability space
• Inertia theorems for pairs of matrices.
• Inertia theorems for matrices, controllability, and linear vibrations
• On the stabilization of linear discrete-time systems
• Matrices \(C\) with \(C^ n\to 0\)
• Inertia theory for simultaneously triangulable complex matrices
• On the Ostrowski-Schneider inertia theorem
• A Generalization of a Theorem of Lyapunov
• A Generalization of the Inertia Theorem

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