Stability of invariant subspaces of quaternion matrices
From MaRDI portal
Publication:371733
DOI10.1007/s11785-012-0233-yzbMath1273.15016OpenAlexW2032176538MaRDI QIDQ371733
Publication date: 10 October 2013
Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11785-012-0233-y
Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Basic linear algebra (15A99)
Related Items
Bounds for eigenvalues of matrix polynomials over quaternion division algebra, Bounds for the right spectral radius of quaternionic matrices, Location of right eigenvalues of quaternionic matrix polynomials, A note on quaternion matrices and split quaternion matrix pencils, Localization theorems for matrices and bounds for the zeros of polynomials over quaternion division algebra, Strong Stability of Invariant Subspaces of Quaternion Matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations
- Stability of controlled invariant subspaces
- Factorization of matrix and operator functions. The state space method
- On the distance between lattices of invariant subspaces of matrices
- Minimal factorization of matrix and operator functions
- Finite-dimensional points of continuity of Lat
- Finite-dimensional points of continuity of Gen and Com
- Analytic operator functions with compact spectrum. II. Spectral pairs and factorization
- Spectral analysis of matrix polynomials. I. Canonical forms and divisors
- Stable factorizations of monic matrix polynomials and stable invariant subspaces
- A closed formula for the Moore-Penrose generalized inverse of a complex matrix of given rank
- The rate of convergence of real invariant subspaces
- On stability of invariant subspaces of commuting matrices
- Rate of stability of solutions of matrix polynomial and quadratic equations
- The spectral theorem in quaternions
- A survey of nonsymmetric Riccati equations
- Algebraic tools for the study of quaternionic behavioral systems
- Constructing projections on sums and intersections
- Basic classes of matrices with respect to quaternionic indefinite inner product spaces
- Series and parallel addition of matrices
- Matrices of quaternions
- Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness
- On the Index of Conditional Stability of Stable Invariant Lagrangian Subspaces
- Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices
- The Stable Solutions of Quadratic Matrix Equations
- Nonsymmetric Algebraic Riccati Equations and Hamiltonian-like Matrices
- Stability index of invariant subspaced of matrices
- Invariant Subspaces: Continuous Stability Implies Smooth Stability
- A Class of Robustness Problems in Matrix Analysis
- Stability of Quaternionic Linear Systems
- On the Continuity of the Generalized Inverse
- On the equation 𝜒𝛼=𝛾𝜒+𝛽 over an algebraic division ring
- Some Theorems On Matrices With Real Quaternion Elements
- Quaternions and matrices of quaternions