The algebraic structure of pencils and block Toeplitz matrices
From MaRDI portal
Publication:1307572
DOI10.1016/S0024-3795(98)00022-6zbMath0936.15010MaRDI QIDQ1307572
Publication date: 18 May 2000
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
perturbationcontrollability indicesmatrix pencilblock Toeplitz matricesKronecker structureKronecker indiceslinear time-invariant dynamical systemSegre characteristicsmajorization for semi-infinite integer sequences
Controllability (93B05) Hermitian, skew-Hermitian, and related matrices (15B57) Algebraic methods (93B25) Matrix pencils (15A22)
Related Items
Computation and presentation of graphs displaying closure hierarchies of Jordan and Kronecker structures, Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade, Stratification of full rank polynomial matrices, Computing the radius of controllability for state space systems, Nearest rank deficient matrix polynomials, Generic Eigenstructures of Hermitian Pencils, Perturbation theory of matrix pencils through miniversal deformations, Nearest Matrix Polynomials With a Specified Elementary Divisor, The rank distance problem for pairs of matrices and a completion of quasi-regular matrix pencils, Robustness and perturbations of minimal bases. II: The case with given row degrees
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The change of the Jordan structure of a matrix under small perturbations
- The computation of Kronecker's canonical form of a singular pencil
- On perturbations and the equivalence orbit of a matrix pencil
- Perturbation of linear control systems
- Semi-stability of sums of partial multiplicities under additive perturbation
- Young diagrams and determinantal varieties
- Computation of zeros of linear multivariable systems
- Orbit closures of singular matrix pencils
- Placing zeroes and the Kronecker canonical form
- Points of Continuity of the Kronecker Canonical Form
- On the Segré, Weyr characteristics of right (left) regular matrix pencils
- Right, left characteristic sequences and column, row minimal indices of a singular pencil
- The generalized eigenstructure problem in linear system theory
- On the determination of the Smith-Macmillan form of a rational matrix from its Laurent expansion
- A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm
- A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part I: Versal Deformations
- The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II
- The Set of 2-by-3 Matrix Pencils — Kronecker Structures and Their Transitions under Perturbations
- Inequalities: theory of majorization and its applications