Possible inertia combinations in the Stein and Lyapunov equations

DOI10.1016/0024-3795(93)00296-CzbMath0827.15011OpenAlexW2040369882WikidataQ127646989 ScholiaQ127646989MaRDI QIDQ1894476

Charles R. Johnson, Luz Maria DeAlba

Publication date: 26 November 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(93)00296-c

zbMATH Keywords

Lyapunov equationdiscrete-time dynamical systemsStein equationcontinuous-time dynamical systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Matrix equations and identities (15A24) Model systems in control theory (93C99)

Related Items (5)

On the solutions of a class of tensor equations ⋮ On the Lyapunov and Stein equations ⋮ Inertia of the Stein transformation with respect to some nonderogatory matrices ⋮ Extending BiCG and BiCR methods to solve the Stein tensor equation ⋮ On the Lyapunov and Stein equations. II.

Cites Work

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• Inertia characteristics of self-adjoint matrix polynomials
• Some theorems on the inertia of general matrices
• Rank and inertia bounds for matrices under \(R (AH) \geq 0\)
• Inertia theorems for matrices: the semidefinite case
• A Generalization of a Theorem of Lyapunov

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