Generalized controllability and inertia theory
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Publication:1230974
DOI10.1016/0024-3795(76)90015-XzbMath0338.15010MaRDI QIDQ1230974
Richard D. Hill, David H. Carlson
Publication date: 1976
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Controllability (93B05) Inequalities involving eigenvalues and eigenvectors (15A42) Canonical forms, reductions, classification (15A21)
Related Items (7)
Generalized Controllability, $( A,B )$-Invariant Subspaces and Parameter Invariant Control ⋮ On the Controllability of Matrix Pairs $(A,K)$ with K Positive Semidefinite ⋮ Controllability and inertia theory for functions of a matrix ⋮ Generalized controllability and inertia theory. II ⋮ An inertial decomposition and related range results ⋮ On the inertia and range of transformations of positive definite matrices ⋮ Common eigenvectors and quasicommutativity of sets of simultaneously triangularizable matrices
Cites Work
- Some theorems on the inertia of general matrices
- Inertia theorem for general matrix equations
- Controllability and inertia theory for functions of a matrix
- On ranges of Lyapunov transformations
- Inertia theorems for matrices, controllability, and linear vibrations
- Inertia theory for simultaneously triangulable complex matrices
- Inertia theorems for matrices: the semidefinite case
- Linear transformations which preserve Hermitian matrices
- A Generalization of a Theorem of Lyapunov
- A Generalization of the Inertia Theorem
- On Nonnegative Solutions of the Equation $AD + DA' = - C$
- On the characteristic roots of matric polynomials
- Some Generalizations of Matrix Commutativity
- Some Theorems on Commutative Matrices
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