Education: Vinnitsa
State Pedagogical
University (specialty - mathematics
and physics, 1980), PhD and doctoral Pidstryhach IAPMM NAS of Ukraine.
Scientific degree: Doctor of sciences in physics and mathematics (01.01.06 algebra and number theory) (doctoral
thesis "Factorization and unilateral equivalence of matrices over
commutative elementary divisor domain", 2012).
Scientific title: Senior Research Fellow (since 2014).
Position: Head of Department
(since 2025).
In Institute: from 1981.
Scientific profiles
ORCID: https://orcid.org/0000-0003-4536-5276
Scopus: https://www.scopus.com/authid/detail.uri?authorId=37040903800
Google
Scholar: https://nbuviap.gov.ua/bpnu/bpnu_profile.php?bpnuid=BUN0028412
Research interests: linear algebra; matrix theory; matrix equation;
rings theory.
Main scientific results:
1.
The matrix factorization theory over commutative
elementary divisor domains is constructed.
2.
We constructed the canonical form of matrix with
respect to unilateral transformations from
complete linear group of matrices with a
standard F-skeleton.
3.
It is proved that the ring second order matrices over commutative Bezout
domain R has stable rank of 1.5 if and only if R has a similar stable rank.
Monograph:
- Shchedryk V. Arithmetic of
matrices over rings – Kyiv, Akademperiodyka, 2021. − 278 p. −
https://doi.org/10.15407/akademperiodika.430.278 pdf.
- Shchedryk V.P. Factorization of matrices over elementary divisor rings. – Lviv: Pidstryhach Institute for
Applied Problems of Mechanics and Mathematics NAS of Ukraine, 2017.
– 304 p. (in Ukrainian) pdf. (in Russian) pdf.
Major publications:
- Shchedryk
V. P. Arithmetic Properties of the Solutions of Linear Equations //
Journal of Mathematical Sciences. – 2025. – 287, No.2. – P. 153–159.
https://doi.org/10.1007/s10958-025-07579-6 (Scopus, Q3)
- Romaniv A. M., Shchedryk V.
P. Reduction of invertible matrices
by two-sided transformations from Zelisko groups to a simpler form // Carpathian
Mathematical Publications. – 2024. – 16 (2). – P. 500–511.
doi:10.15330/cmp.16.2.500-511 (Scopus, 1.0, Q1)
- Shchedryk V. Parametric
2-Decompositions in Complete Linear Groups of Small Order Over a Field //
Ukrainian Mathematical Journal. – 2024. – 76 (2). – P. 330–348.
https://doi.org/10.1007/s11253-024-02323-w (Scopus, 0.669, Q3)
- Romaniv A. M., Shchedryk V. P.
Adequate Properties of Matrix Divisors // Journal of mathematical
sciences. – 2024. – 279, No. 2 – P. 141–150. https://doi.org/10.1007/s10958-024-07001-7
(Scopus, 0.523, Q3)
- Bovdi,
V. A., Shchedryk, V. P. Generating solutions of a linear equation and
structure of elements of the Zelisko group II // Quaestiones Mathematicae. – 2023 – 46 (9) – P. 1789–1798. https://doi.org/10.2989/16073606.2022.2112629
(Scopus, 1.1, Q2)
- Gatalevych, A. I., Shchedryk V. P. On adequacy of
full matrices // Matematychni Studii. – 2023. – 59.2 – P.115–122., https://doi.org/10.30970/ms.59.2.115-122 (Scopus, 0.361, Q3)
- Shchedryk
V.P. Arithmetic properties of the solutions of linear equations // Mat.
Metody Fiz.-Mekh. Polya. – 2022. – 65, ¹ 3-4. – P. 44–49. (in Ukrainian)
- Bovdi V., Shchedryk V. Adequacy of nonsingular
matrices over commutative principal ideal domains – arXiv preprint
arXiv:2209.01408, 2022
- Romaniv A. M., Shchedryk V. P. Adequate properties of matrix
divisors // Math. methods and phys.-mech. fields – 2021. – 64, No. 4. – P. 25–31. (in Ukrainian)
- Bovdi
V.A., Shchedryk V.P. Generating solutions of a linear equation and
structure of elements of the Zelisko group // Linear Algebra Appl. −
2021. − Volume 625. − P. 55−67. (Scopus, 1.436, Q1)
- Shchedryk
V. The left greatest common divisor and the left least common multiple for all solutions of the matrix equation BX = A over a commutative domain of elementary divisors // Ukr. Math. J. − 2021. − 73.
− P. 303–310. − https://doi.org/10.1007/s11253-021-01923-0.
(Scopus, 0.838, Q2)
- Shchedryk V. The left greatest
common
divisor
and the left
least
common
multiple
for all
solutions
of the matrix
equation BX = A over
a commutative
domain
of elementary
divisors // Ukrainian Mathematical Journal. – 2021. – 73, ¹ 2. – P. 261–267. −
https://doi.org/10.37863/umzh.v73i2.6321. (in Ukrainian)
- Shchedryk V. Classification of Parametric Solutions
of One-Sided Matrix Equations by the Transforming Matrices of Their
Characteristic Matrices // Journal of Mathematical Sciences – 2021 – Vol.
254, No. 1. – P. 1–7.
https://doi.org/10.1007/ñ10958-021-05283-9 (Scopus, 0.603, Q3)
- Shchedryk V. A greatest common
divisor and a least common multiple of solutions of a linear matrix
equation // arXiv preprint https://arxiv.org/pdf/2011.05173.pdf,
2020, 9
pages.
- Bovdi V.A., Shchedryk V.P. Commutative Bezout domains of stable range 1.5 // Linear Algebra
and its Applications. – 2019. – 568. − P. 127−134.
https://doi.org/10.1016/j.laa.2018.06.012 (Scopus, 1.222,
Q1)
- Shchedryk
V. On great common divisors and least common multiple of matrix equation
solutions // XII International Algebraic Conference in Ukraine dedicated
to the 215th anniversary of V. Bunyakovsky, July 2-6, 2019,Vinnytsia,
Ukraine. Abstracts. – Vinnytsia:Vasyl’ Stus Donetsk
University, 2019. –
142 p. – P. 102.
- Bovdi Victor A., Shchedryk Volodymyr P. Commutative
Bezout domains of stable range 1.5 // arXiv preprint https://doi.org/10.48550/arXiv.1806.0474 , 2018, 9 pages.
- Shchedryk V. Classification of
Parametric Solutions of One-Sided Matrix Equations by the Transforming
Matrices of Their Characteristic Matrices // Mat. Metody Fiz.-Mekh. Polya.
– 2018– Vol. 61, ¹.3 – P. 7–15. (in Ukrainian)
- A.
M. Romaniv, V. P. Shchedryk On stable rank of rings of
matrices over commutative principal ideal domains // International Conference
“Modern Problems of
Mechanics and Mathematics” dedicated to the 90-th birth anniversary of YA. S. Pidstryhach and 40- anniversary of the Institute
for APMM NAS of Ukraine
– L’viv, Ukraine May 22–25, 2018. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/mpmm2018) – P. 231.
- Shchedryk
V. P. Bezout Rings of Stable Range 1.5 and the Decomposition of a Complete
Linear Group into the Product of its Subgroups // Ukrainian Mathematical
Journal – 2017. – 69 – P.138-147. https://doi.org/10.1007/s11253-017-1352-4
(Scopus, 0.813, Q3)
- Shchedryk V.P. Bezout ring of stable range 1.5 and decomposition of complete linear
group into product
its subgroups // Ukrainian Mathematical Journal.
– 2017. – 69, ¹ 1. – P. 113 – 120 (in Ukrainian).
- Shchedryk V.P. The value of matrix on a system of
roots of diagonal elements of matrix and its properties
// Applied Problems of Mechanics and Mathematics – 2015. – 13. –
ñ. 187–194 (in Ukrainian).
- Shchedryk V.P. Decomposition of general linear group and ring’s stable
range // Book of abstracts of the X International Algebraic Conference in Ukraine dedicated to the 70-th anniversary of Yu.
A. Drozd, August
20 – 27, 2015, Odessa.
– P. 101.
- Shchedryk V.P. Bezout rings of stable range 1.5 // Ukrainian
Mathematical Journal. – 2015. – 67, ¹ 6. – P.
960-974.
- Romaniv À.Ì., Shchedryk V.P. Greatest common divisor of matrices
one of which is a disappear matrix. // Ukrainian Mathematical Journal. – 2014. – 66, ¹ 3. – Ñ. 479 – 485.
- Romaniv À.Ì., Shchedryk V.P. Least common right multiple of the matrices with one invariant
factor different from the identity. // Journal of Mathematical Sciences. – 2015. – 208. ¹ 3 – P. 344-354.
- Shchedryk
V.P. The greatest common divisors and least
common multiples of matrices over commutative Bezout domains // Applied
problems of mechanics and mathematics. – 2014. – V. 12. – P. 30–36. (in Ukrainian)
- Romaniv À.Ì., Shchedryk V.P. Greatest common left divisor and least common right multiple of second order matrices //
Mathematical Journal NTSh. – 9.
– 2012. – P. 269–284 (in Ukrainian).
- Shchedryk V.P. Commutative domains of elementary divisors and some properties of
their elements // Ukrainian
Mathematical Journal. 2012. – 64,
¹1. – P. 126–139.
- Shchedryk
V. On the one-side
equivalence of matrices with given
canonical diagonal form // Algebra and Discrete Mathematics. – 2011. – 12, ¹2. – Ñ. 102–111.
- Shchedryk V.P. On the Interdependence between Invariant
Multipliers of a Block-Triangular Matrix and Its Diagonal Blocks // Mathematical Notes. – 2011. – 90,
¹4. – Ñ. 584 – 596.
- Shchedryk
V. Matrices divisors generated by transformable matrices // Int. Alg.
Conf. dedicated to A.V. Yakovlev. 2010. – S. Peterburg. – Jun 19-24, 2010. Abstracts. S. Peterburg. – P.153-154.
- Shchedryk V.P. On invariant factors of
block-triangular matrices and their diagonal blocks // Dopovidi
NAS of Ukraine. – 2010, ¹ 6. – ñ. 34-36 (in Ukrainian).
- Shchedryk
V. Factorization of
matrices over elementary divisor domain // Algebra and Discrete
Mathematics. – 2009. – ¹2. – P. 79–99.
- Shchedryk V.P. Some invariants of transforming matrices //
Mathematical studies– 2008. – 29. – P. 121-126 (in Ukrainian).
- Shchedryk
V.P. Some determinant properties of primitive matrices over Bezout
B-domain // Algebra and Discrete Mathematics. – 2005. – ¹2. –P. 46–57.
- Shchedryk
V. On decomposition of complete linear group
into product of some its subgroups // Visnyk Lviv. Univ., Ser. Mech.-Math. – 2003. – 61. – P. 184–190.
- Shchedryk V.P. One class of divisors of matrices over commutative elementary
divisor domain // Mathematical studies. – 2002. – 17, ¹1. – P. 23–28 (in Ukrainian).
- Shchedryk V.P. Non associated matrix with standard Ô-skeleton // Math. Method. i Fiz. Mekh. Polia. – 2002. – 45, ¹3. – P. 32–44 (in Ukrainian).
- Shchedryk V.P. Ô-skeleton of matrices and its properties //
Math. Method. i Fiz. Mekh. Polia, -2000. - 43, ¹ 2. – P. 45-51 (in Ukrainian).
- Shchedryk V.P. On transforming matrices over some Bezout domains // Math. Method. i Fiz. Mekh. Polia – 2000. – 43, ¹ 1. –
Ñ. 36–44 (in Ukrainian).
- Shchedryk V.P. Structure and properties of matrices divisors over commutative
elementary divisor domains // Mathematical studies. – 1998. – 10. –¹2. – Ñ. 115–120 (in Ukrainian).
Phone service: (032) 258
96 21
E-mail:
shchedrykv@ukr.net