Cover Image

Standard forms of matrices over rings with respect to different types of equivalences and their applications in theory of the matrix factorization and matrix equations

Saved in:

Bibliographic Details
Date:	2019
Main Author:	V. M. Petrychkovych
Format:	Article
Language:	English
Published:	2019
Series:	Mathematical methods and physicomechanical fields
Online Access:	http://jnas.nbuv.gov.ua/article/UJRN-0001152328
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Library portal of National Academy of Sciences of Ukraine \| LibNAS

Institution

Library portal of National Academy of Sciences of Ukraine | LibNAS

Similar Items

The standard form of matrices over quadratic rings with respect to (z,k) -equivalence and structure of solutions of matrix bilateral linear equations
by: N. B. Ladzoryshyn, et al.
Published: (2018)

The standard form of matrices over the ring of Gaussian integers with respect to (z, k)-equivalence
by: V. M. Petrychkovych, et al.
Published: (2020)

Canonical form with respect to semiscalar equivalence for a matrix pencil with nonsingular first matrix
by: Prokip, V. M., et al.
Published: (2011)

On normal form with respect to semiscalar equivalence of polynomial matrices over a field
by: V. M. Prokip
Published: (2012)

Symmetric matrices and matrix equations over rings of quasipolynomials with involution
by: V. R. Zelisko, et al.
Published: (2013)

On a triangular form of polynomial matrix and its invariants with respect to semiscalar equivalence
by: B. Z. Shavarovskyi
Published: (2012)

On the equivalence of matrices over commutative rings modulo ideals
by: Bondarenko, Vitaliy M., et al.
Published: (2018)

On the equivalence of matrices over commutative rings modulo ideals
by: V. M. Bondarenko, et al.
Published: (2014)

On the equivalence of matrices over commutative rings modulo ideals
by: Bondarenko, V.M., et al.
Published: (2014)

Equivalence of matrices in the ring M(n,R) and its subrings
by: N. S. Dzhaliuk, et al.
Published: (2021)

The absolute factorization of matrices in the rings of block-triangular matrices
by: N. S. Dzhaliuk, et al.
Published: (2013)

Existence of the solution of the Sylvester-type matrix equation in the ring of block triangular matrices
by: N. S. Dzhaliuk
Published: (2021)

Equivalence of matrices in the ring $M(n, R)$ and its subrings
by: Dzhaliuk , N. S., et al.
Published: (2021)

Generalized equivalence of collections of matrices and common divisors of matrices
by: Petrychkovych, Vasyl M.
Published: (2018)

Generalized equivalence of collections of matrices and common divisors of matrices
by: Petrychkovych, V.M.
Published: (2004)

On some invariants of polynomial matrices with respect to semiscalar equivalence
by: B. Z. Shavarovskyi
Published: (2018)

A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices”
by: Petrychkovych, Vasyl M.
Published: (2018)

A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices”
by: Petrychkovych, V.M.
Published: (2005)

Structural stability of matrix pencils and of matrix pairs under contragredient equivalence
by: M. I. Harsia-Planas, et al.
Published: (2019)

Structural stability of matrix pencils and of matrix pairs under contragredient equivalence
by: García-Planas, M. I., et al.
Published: (2019)

On the equivalence of polynomial matrices over a field
by: V. Prokip
Published: (2024)

On the equivalence of polynomial matrices over a field
by: Prokip , V., et al.
Published: (2024)

On the existence of unique solutions of linear matrix equations over rings with involution
by: V. R. Zelisko, et al.
Published: (2015)

The canonical form of involutory matrices over the principal ideal domain with respect to similarity transformation
by: V. M. Prokip
Published: (2019)

On equivalence and factorization of the Kronecker product of matrices
by: V. R. Zelisko, et al.
Published: (2019)

On the stable range of matrix rings
by: Zabavskii, B. V., et al.
Published: (2009)

On solvability of the system of matrix equations AX B , BY A over associative rings
by: V. M. Prokip
Published: (2016)

The integer solutions of matrix linear unilateral and bilateral equations over quadratic rings
by: N. B. Ladzoryshyn
Published: (2015)

Morita equivalent unital locally matrix algebras
by: Bezushchak, O., et al.
Published: (2020)

Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials
by: Kuchma, M. I., et al.
Published: (2001)

Non-singular solutions of one class of matrix equations over a polynomial ring
by: B. Z. Shavarovskyi
Published: (2019)

Matrix Representations of Finite $p$-Groups over Commutative Local Rings of Characteristic $p^s$
by: Gudivok, P. M., et al.
Published: (2002)

Program for reducing a matrix to Arnold&#039;s normal from with respect to smooth matrix similarity
by: O. M. Klymenko, et al.
Published: (2015)

The solutions of matrix polynomial diophantine equation
by: N. S. Dzhaliuk, et al.
Published: (2012)

Indecomposable and irreducible \(t\)-monomial matrices over commutative rings
by: Bondarenko, Vitaliy Mykhaylovych, et al.
Published: (2016)

Reducibility and irreducibility of monomial matrices over commutative rings
by: V. M. Bondarenko, et al.
Published: (2013)

Indecomposable and irreducible t-monomial matrices over commutative rings
by: V. Bondarenko, et al.
Published: (2016)

Reducibility and irreducibility of monomial matrices over commutative rings
by: Bondarenko, V.M., et al.
Published: (2013)

Indecomposable and irreducible t-monomial matrices over commutative rings
by: Bondarenko, V.M., et al.
Published: (2016)

Expansion of Weighted Pseudoinverse Matrices in Matrix Power Products
by: Galba, E. F., et al.
Published: (2004)