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: Leading Research Fellow (since 2013).
In Institute: from 1981.
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.
- 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:
- Bovdi V., Shchedryk
V. Generating solutions of a linear equation and structure of elements of
the Zelisko group II // Quaestiones
Mathematicae. 2022. 10 pages. https://doi.org/10.2989/16073606.2022.2112629
- Romaniv A. M., Shchedryk V. P. Adequate
properties of matrix divisors // Math. methods and phys.-mech. fields
2021. 64. No.
2. Ń. 4751.
- 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.
- 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. 303310. − https://doi.org/10.1007/s11253-021-01923-0.
- Shchedryk V.
A greatest common divisor and a least common multiple of solutions of a
linear matrix equation https://arxiv.org/pdf/2011.05173.pdf
- Bovdi V.A., Shchedryk V.P. Commutative Bezout
domains of stable range 1.5 // Linear Algebra and its Applications,
2019, Volume 568, P. 127-134.
- 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.
- 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
Lviv, Ukraine May 2225, 2018.
[Electronic resource].
Access mode: (http://www.iapmm.lviv.ua/mpmm2018) P. 231.
- 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. ń. 187194 (in Ukrainian).
- Shchedryk V.P. Bezout rings
of stable range 1.5 // Ukrainian Mathematical Journal.
2015. 67, ¹ 6. P. 960-974.
- Romaniv Ą.Ģ., Shchedryk V.P. Greatest common divisor of matrices one of which
is a disappear matrix. // Ukrainian Mathematical Journal. 2014. 66, ¹ 3. Ń. 479 485.
- Romaniv Ą.Ģ., 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.
- Romaniv
Ą.Ģ., Shchedryk V.P. Greatest common left
divisor and least common right multiple of second
order matrices // Mathematical Journal NTSh. 9.
2012. P. 269284 (in Ukrainian).
- Shchedryk V.P. Commutative domains of elementary divisors and some properties of
their elements // Ukrainian
Mathematical Journal. 2012. 64,
¹1. P. 126139.
- Shchedryk V.
On the one-side equivalence of matrices with given canonical diagonal form // Algebra and Discrete Mathematics. 2011. 12, ¹2. Ń. 102111.
- Shchedryk V.P. On the Interdependence
between Invariant Multipliers of a Block-Triangular Matrix and Its
Diagonal Blocks // Mathematical
Notes. 2011.
90, ¹4. Ń. 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. ń. 34-36 (in
Ukrainian).
- Shchedryk V. Factorization of matrices over elementary divisor domain //
Algebra and Discrete Mathematics. 2009. ¹2. P. 7999.
- 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. 4657.
- Shchedryk V. On decomposition of complete
linear group into product of some its subgroups // Visnyk Lviv. Univ., Ser. Mech.-Math. 2003. 61. P. 184190.
- Shchedryk V.P. One class of divisors of matrices over commutative elementary
divisor domain // Mathematical studies. 2002. 17, ¹1. P. 2328 (in Ukrainian).
- Shchedryk V.P. Non associated matrix with standard Ō-skeleton // Math. Method. i Fiz.
Mekh.
Polia.
2002. 45, ¹3. P.
3244 (in Ukrainian).
- Shchedryk V.P. Ō-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. Ń. 3644 (in Ukrainian).
- Shchedryk V.P. Structure and properties of matrices divisors over commutative
elementary divisor domains // Mathematical
studies.
1998. 10. ¹2. Ń. 115120 (in Ukrainian).
Phone
service: (032) 258 96 21
E-mail: shchedrykv@ukr.net