Geometry of matrix polynomial spaces
We study how small perturbations of general matrix polynomials may change their
elementary divisors and minimal indices by constructing the closure hierarchy (stratification) …
elementary divisors and minimal indices by constructing the closure hierarchy (stratification) …
[图书][B] Codimension computations of congruence orbits of matrices, symmetric and skew-symmetric matrix pencils using Matlab
Matlab functions to work with the canonical structures for congruence and* congruence of
matrices, and for congruence of symmetric and skew-symmetric matrix pencils are …
matrices, and for congruence of symmetric and skew-symmetric matrix pencils are …
Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations
The homogeneous system of matrix equations (XTA+ AX, XTB+ BX)=(0, 0), where (A, B) is a
pair of skew-symmetric matrices of the same size is considered: we establish the general …
pair of skew-symmetric matrices of the same size is considered: we establish the general …
Perturbation theory of matrix pencils through miniversal deformations
V Futorny, T Klymchuk, O Klymenko… - Linear Algebra and its …, 2021 - Elsevier
We give new proofs of several known results about perturbations of matrix pencils. In
particular, we give a direct and constructive proof of Andrzej Pokrzywa's theorem (1983), in …
particular, we give a direct and constructive proof of Andrzej Pokrzywa's theorem (1983), in …
Chapter 5: StratiGraph Tool: Matrix Stratifications in Control Applications
In this chapter, the software tool StratiGraph for computing and visualizing closure hierarchy
graphs associated with different orbit and bundle stratifications is presented. In addition, we …
graphs associated with different orbit and bundle stratifications is presented. In addition, we …
[图书][B] Geometry of spaces for matrix polynomial Fiedler linearizations
We study how small perturbations of matrix polynomials may change their elementary
divisors and minimal indices by constructing the closure hierarchy graphs (stratifications) of …
divisors and minimal indices by constructing the closure hierarchy graphs (stratifications) of …
[PDF][PDF] Quantum hypergraph states and the theory of multiparticle entanglement
M Gachechiladze - 2019 - dspace.ub.uni-siegen.de
This thesis is devoted to learning different aspects of quantum entanglement theory. More
precisely, it concerns a characterization of certain classes of pure multipartite entangled …
precisely, it concerns a characterization of certain classes of pure multipartite entangled …
A constructive proof of Pokrzywa's theorem about perturbations of matrix pencils
V Futorny, T Klymchuk, VV Sergeichuk… - arXiv preprint arXiv …, 2019 - arxiv.org
Our purpose is to give new proofs of several known results about perturbations of matrix
pencils. Andrzej Pokrzywa (1986) described the closure of orbit of a Kronecker canonical …
pencils. Andrzej Pokrzywa (1986) described the closure of orbit of a Kronecker canonical …
[PDF][PDF] The solution of a pair of matrix equations (XT A+ AX, XTB+ BX)=(0, 0) with skew-symmetric A and B
The homogeneous system of matrix equations (XT A+ AX, XT B+ BX)=(0, 0), where (A, B) is
a pair of skew-symmetric matrices of the same size is considered: we establish the general …
a pair of skew-symmetric matrices of the same size is considered: we establish the general …
[PDF][PDF] Andrii Dmytryshyn, Stefan Johansson
B Kågström, P Van Dooren - Found Comput Math, 2020 - perso.uclouvain.be
We study how small perturbations of general matrix polynomials may change their
elementary divisors and minimal indices by constructing the closure hierarchy (stratification) …
elementary divisors and minimal indices by constructing the closure hierarchy (stratification) …