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Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization

BIT, 2022-03, Vol.62 (1), p.69-88

Dmytryshyn, Andrii

2022

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CP decomposition-based algorithms for completion problem of motion capture data

Pattern analysis and applications : PAA, 2024, Vol.27 (4)

2024

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Geometry of Matrix Polynomial Spaces

Foundations of computational mathematics, 2020-06, Vol.20 (3), p.423-450

2020

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Schur decomposition of several matrices

Linear & multilinear algebra, 2024-05, Vol.72 (8), p.1346-1355

Dmytryshyn, Andrii

2024

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Miniversal deformations of pairs of symmetric matrices under congruence

Linear algebra and its applications, 2019-05, Vol.568, p.84-105

Dmytryshyn, Andrii

2019

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Miniversal deformations of matrices of bilinear forms

Linear algebra and its applications, 2012-04, Vol.436 (7), p.2670-2700

2012

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Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns

Computational & applied mathematics, 2024-06, Vol.43 (4), Article 181

2024

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Structure preserving stratification of skew-symmetric matrix polynomials

Linear algebra and its applications, 2017-11, Vol.532, p.266-286

Dmytryshyn, Andrii

2017

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Miniversal deformations of pairs of skew-symmetric matrices under congruence

Linear algebra and its applications, 2016-10, Vol.506, p.506-534

Dmytryshyn, Andrii

2016

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The dynamical functional particle method for multi-term linear matrix equations

Applied mathematics and computation, 2022-12, Vol.435, p.127458, Article 127458

2022

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Coupled Sylvester-type Matrix Equations and Block Diagonalization

SIAM journal on matrix analysis and applications, 2015-01, Vol.36 (2), p.580-593

2015

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Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges

Journal of physics. A, Mathematical and theoretical, 2024-01, Vol.57 (1), p.15303

2024

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Even grade generic skew-symmetric matrix polynomials with bounded rank

Linear algebra and its applications, 2024-12, Vol.702, p.218-239

2024

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Generic Eigenstructures of Hermitian Pencils

SIAM journal on matrix analysis and applications, 2024-01, Vol.45 (1), p.260-283

2024

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Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild

Electronic Journal of Linear Algebra, 2009-01, Vol.18 (1)

2009

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Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree

Linear algebra and its applications, 2017-12, Vol.535, p.213-230

2017

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Generalization of Roth's solvability criteria to systems of matrix equations

Linear algebra and its applications, 2017-08, Vol.527, p.294-302

2017

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Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade

SIAM journal on matrix analysis and applications, 2020-01, Vol.41 (3), p.1033-1058

2020

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Canonical Structure Transitions of System Pencils

SIAM journal on matrix analysis and applications, 2017-01, Vol.38 (4), p.1249-1267

2017

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Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils

SIAM journal on matrix analysis and applications, 2014-01, Vol.35 (4), p.1429-1443

2014

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Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade

Linear algebra and its applications, 2018-01, Vol.536, p.1-18

2018

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Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace

Linear algebra and its applications, 2016-11, Vol.509, p.228-246

2016

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Miniversal deformations of matrices under congruence and reducing transformations

Linear algebra and its applications, 2014-04, Vol.446 (April), p.388-420

2014

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Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence

Linear algebra and its applications, 2015-03, Vol.469, p.305-334

2015

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Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations

Linear algebra and its applications, 2013, Vol.438 (8), p.3375-3396

2013

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Recovering a perturbation of a matrix polynomial from a perturbation of its first companion linearization

CP decomposition-based algorithms for completion problem of motion capture data

Geometry of Matrix Polynomial Spaces

Schur decomposition of several matrices

Miniversal deformations of pairs of symmetric matrices under congruence

Miniversal deformations of matrices of bilinear forms

Investigation of some Sylvester-type quaternion matrix equations with multiple unknowns

Structure preserving stratification of skew-symmetric matrix polynomials

Miniversal deformations of pairs of skew-symmetric matrices under congruence

The dynamical functional particle method for multi-term linear matrix equations

Coupled Sylvester-type Matrix Equations and Block Diagonalization

Simulations of quantum dynamics with fermionic phase-space representations using numerical matrix factorizations as stochastic gauges

Even grade generic skew-symmetric matrix polynomials with bounded rank

Generic Eigenstructures of Hermitian Pencils

Problems of classifying associative or Lie algebras over a field of characteristic not two and finite metabelian groups are wild

Generic complete eigenstructures for sets of matrix polynomials with bounded rank and degree

Generalization of Roth's solvability criteria to systems of matrix equations

Generic Symmetric Matrix Polynomials with Bounded Rank and Fixed Odd Grade

Canonical Structure Transitions of System Pencils

Orbit Closure Hierarchies of Skew-symmetric Matrix Pencils

Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade

Classification of pairs of linear mappings between two vector spaces and between their quotient space and subspace

Miniversal deformations of matrices under congruence and reducing transformations

Change of the congruence canonical form of 2-by-2 and 3-by-3 matrices under perturbations and bundles of matrices under congruence

Skew-symmetric matrix pencils: Codimension counts and the solution of a pair of matrix equations

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