Inertia of the Stein transformation with respect to some nonderogatory matrices

DOI10.1016/0024-3795(95)00546-3zbMath0857.15011OpenAlexW2073311500MaRDI QIDQ1923148

Luz Maria DeAlba

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00546-3

zbMATH Keywords

eigenvaluesLyapunov stabilityinertiaHermitian matrixnonderogatory matricesStein transformation

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Stability of solutions to ordinary differential equations (34D20) Linear transformations, semilinear transformations (15A04)

Related Items

On the Lyapunov and Stein equations ⋮ On the Lyapunov and Stein equations. II.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inertia characteristics of self-adjoint matrix polynomials
• Some theorems on the inertia of general matrices
• The inertia of a Hermitian matrix having prescribed complementary principal submatrices
• The inertia of a Hermitian matrix having prescribed diagonal blocks
• Inertia theorems for matrices, controllability, and linear vibrations
• Possible inertia combinations in the Stein and Lyapunov equations
• Matrices \(C\) with \(C^ n\to 0\)
• Rank and inertia bounds for matrices under \(R (AH) \geq 0\)
• Inertia theory for simultaneously triangulable complex matrices
• Inertia theorems for matrices: the semidefinite case
• On the Ostrowski-Schneider inertia theorem
• An inertia theory for operators on a Hilbert space
• A Semi-Definite Lyapunov Theorem and the Characterization of Tridiagonal D-Stable Matrices
• A Generalization of a Theorem of Lyapunov
• A Generalization of the Inertia Theorem
• On Nonnegative Solutions of the Equation $AD + DA' = - C$
• The Inertial Aspects of Stein's Condition H - C ∗ HC ≫0