Generalizations of theorems of Lyapunov and Stein

DOI10.1016/0024-3795(75)90005-1zbMath0307.15002OpenAlexW1993841133MaRDI QIDQ1217753

Harald K. Wimmer

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0024-3795(75)90005-1

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (8)

Bounds for the eigenvalues of the solution of the discrete Riccati and Lyapunov equations and the continuous Lyapunov equation ⋮ Trace norm bounds for stable Lyapunov operators ⋮ Inertia and controllability in infinite dimensions ⋮ Controllability and inertia theory for functions of a matrix ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ Generalized controllability and inertia theory. II ⋮ An inertial decomposition and related range results ⋮ On the inertia and range of transformations of positive definite matrices

Cites Work

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• Some theorems on the inertia of general matrices
• Inertia theorems for matrices, controllability, and linear vibrations
• Inequalities and existence theorems in the theory of matrices
• Inertia theory for simultaneously triangulable complex matrices
• Ein Satz über Matrixeigenwerte
• Über Matrizen mit semidefinitem Realteil
• On Nonnegative Solutions of the Equation $AD + DA' = - C$
• Norms and the spectral radius of matrices
• Fields of Values of a Matrix

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