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B. Z. Shavarovskii
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All published works
Action
Title
Year
Authors
+
On the Triangular Form of 3 × 3-Matrices of Simple Structure Relative to Semiscalar Equivalence
2025
B. Z. Shavarovskii
+
On the triangular form of a polynomial matrix of simple structure and its invariants with respect to semi-scalar equivalence
2023
B. Z. Shavarovskii
+
PDF
Chat
Conditions of Semiscalar Equivalence of One Class 3×3 Matrices of Simple Structure
2022
B. Z. Shavarovskii
+
PDF
Chat
Oriented by Characteristic Roots Reduced Matrices in the Class of Semiscalarly Equivalent
2021
B. Z. Shavarovskii
+
PDF
Chat
Reduction to a Canonical Form of a Third-Order Polynomial Matrix with One Characteristic Root by means of Semiscalarly Equivalent Transformations
2020
B. Z. Shavarovskii
+
PDF
Chat
Non-singular solutions of one class of matrix equations over a polynomial ring
2019
B. Z. Shavarovskii
+
Canonical Form of Reduced 3-by-3 Matrix with One Characteristic Root and with Some Zero Subdiagonal Elements
2019
B. Z. Shavarovskii
+
Semiscalar equivalence of one class of 3-by-3 matrices.
2019
B. Z. Shavarovskii
+
Reduced Triangular Form of Polynomial 3-by-3 Matrices with One Characteristic Root and Its Invariants
2018
B. Z. Shavarovskii
+
Block-Diagonal Similarity and Semiscalar Equivalence of Matrices
2017
B. Z. Shavarovskii
+
PDF
Chat
Toeplitz Matrices in the Problem of Semiscalar Equivalence of Second-Order Polynomial Matrices
2017
B. Z. Shavarovskii
+
PDF
Chat
On the Triangular Form of a Polynomial Matrix and Its Invariants with Respect to the Semiscalar Equivalence
2013
B. Z. Shavarovskii
+
Canonical form of polynomial matrices with all identical elementary divisors
2012
B. Z. Shavarovskii
+
Similarity transformations of decomposable matrix polynomials and related questions
2009
B. Z. Shavarovskii
+
Finding a complete set of solutions or proving unsolvability for certain classes of matrix polynomial equations with commuting coefficients
2007
B. Z. Shavarovskii
+
Multiplicative structure of a polynomial matrix depending on its elementary divisors
2007
B. Z. Shavarovskii
+
On the similarity of matrices of even order
2007
B. Z. Shavarovskii
+
Classes of factorable and unfactorable polynomial matrices and their relative positions
2007
B. Z. Shavarovskii
+
PDF
Chat
О подобии пар матриц четного порядка
2007
B. Z. Shavarovskii
B. Z. Shavarovskii
+
On Some “Tame” and “Wild” Aspects of the Problem of Semiscalar Equivalence of Polynomial Matrices
2004
B. Z. Shavarovskii
+
PDF
Chat
О некоторых “ручных” и “диких” аспектах проблемы полускалярной эквивалентности многочленных матриц
2004
B. Z. Shavarovskii
B. Z. Shavarovskii
+
None
2003
B. Z. Shavarovskii
+
Factorable polynomial matrices
2000
B. Z. Shavarovskii
+
None
2000
B. Z. Shavarovskii
+
Decomposition of polynomial matrices into a direct sum of triangular summands
1999
B. Z. Shavarovskii
+
PDF
Chat
Quasidiagonal reduction of a class of polynomial matrices
1999
B. Z. Shavarovskii
+
On the reduction of a set of numerical matrices to quasi-diagonal form with one similarity transformation
1999
B. Z. Shavarovskii
+
Reduction of matrices by means of equivalent transformations and similarity transformations
1998
B. Z. Shavarovskii
+
Reduction of matrix polynomials to a special quasitriangular form
1996
B. Z. Shavarovskii
+
Selection of regular direct summands from matrix polynomials
1994
B. Z. Shavarovskii
+
On the factorization of matrix polynomials with commuting coefficients
1993
B. Z. Shavarovskii
Common Coauthors
Coauthor
Papers Together
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
Simultaneous similarity of matrices
1983
Shmuel Friedland
11
+
Factorization of matrix polynomials
1983
Alexander Malyshev
10
+
On simultaneous similarity of matrices and related questions
1999
J.A. Dias da Silva
T.J. Lafley
8
+
On factorization of matrix polynomials
2000
John Maroulas
Panayiotis Psarrakos
8
+
PDF
Chat
Canonical matrices for linear matrix problems
2000
Vladimir V. Sergeichuk
6
+
Normal forms in matrix spaces
2000
Genrich Belitskii
5
+
INDECOMPOSABLE REPRESENTATIONS OF THE LORENTZ GROUP
1968
I. M. Gel'fand
В. А. Пономарев
5
+
PDF
Chat
Toeplitz Matrices in the Problem of Semiscalar Equivalence of Second-Order Polynomial Matrices
2017
B. Z. Shavarovskii
5
+
On Some “Tame” and “Wild” Aspects of the Problem of Semiscalar Equivalence of Polynomial Matrices
2004
B. Z. Shavarovskii
5
+
Tame and wild matrix problems
1980
Ju A Drozd
5
+
A canonical form for nonderogatory matrices under unitary similarity
2011
Vyacheslav Futorny
Roger A. Horn
Vladimir V. Sergeichuk
4
+
Reduced Triangular Form of Polynomial 3-by-3 Matrices with One Characteristic Root and Its Invariants
2018
B. Z. Shavarovskii
4
+
An interpolation problem in the class of stieltjes functions and its connection with other problems
1998
M. Г. Крейн
A. A. Nudel’man
3
+
None
2003
B. Z. Shavarovskii
3
+
Reduction of matrices by means of equivalent transformations and similarity transformations
1998
B. Z. Shavarovskii
3
+
PDF
Chat
Oriented by Characteristic Roots Reduced Matrices in the Class of Semiscalarly Equivalent
2021
B. Z. Shavarovskii
3
+
Semiscalar equivalence and the factorization of polynomial matrices
1990
В. М. Петричкович
3
+
On the similarity of matrices of even order
2007
B. Z. Shavarovskii
2
+
Canonical Form of Reduced 3-by-3 Matrix with One Characteristic Root and with Some Zero Subdiagonal Elements
2019
B. Z. Shavarovskii
2
+
PDF
Chat
О некоторых “ручных” и “диких” аспектах проблемы полускалярной эквивалентности многочленных матриц
2004
B. Z. Shavarovskii
B. Z. Shavarovskii
2
+
The problems of classifying pairs of forms and local algebras with zero cube radical are wild
2005
Genrich Belitskii
В. М. Бондаренко
Ruvim Lipyanski
Vladimir V. Plachotnik
Vladimir V. Sergeichuk
2
+
Canonical form of polynomial matrices with all identical elementary divisors
2012
B. Z. Shavarovskii
2
+
PDF
Chat
Conditions of Semiscalar Equivalence of One Class 3×3 Matrices of Simple Structure
2022
B. Z. Shavarovskii
2
+
Algebraic Riccati Equations
2006
Peter Lancaster
Leiba Rodman
2
+
Representation type of finite groups
1982
В. М. Бондаренко
Yuriy Drozd
2
+
PDF
Chat
The Algebraic Theory of Matrix Polynomials
1976
J. E. Dennis
J. F. Traub
R. P. Weber
2
+
PDF
Chat
Three Representation Types for Systems of Forms and Linear Maps
2021
Abdullah Alazemi
Milica Anđelić
Carlos M. da Fonseca
Vyacheslav Futorny
Vladimir V. Sergeichuk
1
+
Fundamentals of linear algebra
1969
A. H. Lightstone
1
+
Tame and wild matrix problems
1986
Yuriy Drozd
1
+
Equivalence of Matrices in the Ring M(n, R) and its Subrings
2022
Н. С. Джалюк
V. М. Petrychkovych
1
+
PDF
Chat
The number of standard forms of matrices over imaginary Euclidean quadratic rings with respect to the $(z,k)$–equivalence
2022
N. B. Ladzoryshyn
V. М. Petrychkovych
1
+
Algebraic Methods for Toeplitz-like Matrices and Operators
1984
Georg Heinig
Karla Rost
1
+
Semiscalar equivalence and the smith normal form of polynomial matrices
1993
В. М. Петричкович
1
+
On the number of solutions to the equationX 2 = 0 in triangular matrices over a finite field
1995
A. A. Kirillov
1
+
Permutability of Toeplitz and Hankel matrices
2014
V. N. Chugunov
Х. Д. Икрамов
1
+
Linear operators on S-graded vector spaces
2003
В. М. Бондаренко
1
+
Remarks on the classification of a pair of commuting linear transformations in a finite-dimensional space
1970
I. M. Gel'fand
В. А. Пономарев
1
+
Upper triangular similarity of upper triangular matrices
1997
Philip Thijsse
1
+
REPRESENTATIONS OF DIHEDRAL GROUPS OVER A FIELD OF CHARACTERISTIC 2
1975
В. М. Бондаренко
1
+
Toeplitz-plus-Hankel circulants are reducible to block diagonal form via unitary congruences
2014
Khakim D. Ikramov
1
+
Fundamentals of linear algebra
1966
Katsumi Nomizu
1
+
Toward solution of matrix equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi>X</mml:mi><mml:mo>=</mml:mo><mml:mi mathvariant="italic">Af</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>X</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>B</mml:mi><mml:mo>+</mml:mo><mml:mi>C</mml:mi></mml:mrow></mml:math>
2011
Bin Zhou
James Lam
Guang‐Ren Duan
1
+
PDF
Chat
CLASSIFICATION PROBLEMS FOR SYSTEMS OF FORMS AND LINEAR MAPPINGS
1988
Vladimir V. Sergeichuk
1
+
Similarity transformations of decomposable matrix polynomials and related questions
2009
B. Z. Shavarovskii
1
+
PDF
Chat
Operator theory: Advances and applications
1991
1
+
On the Smith normal form
1971
Morris Newman
1
+
PDF
Chat
О подобии пар матриц четного порядка
2007
B. Z. Shavarovskii
B. Z. Shavarovskii
1
+
Block-Diagonal Similarity and Semiscalar Equivalence of Matrices
2017
B. Z. Shavarovskii
1
+
The structure of solutions of the matrix linear unilateral polynomial equation with two variables
2017
Н. С. Джалюк
V. М. Petrychkovych
1
+
Derived tame and derived wild algebras
2004
Yuriy Drozd
1