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