Education: Ivan Franko National
University of L’viv
(specialty – mathematics, 2006.),
Postgraduate of Pidstryhach
Institute for APMM NAS of Ukraine
(01.01.06 – algebra and
number theory, 2009 – 2012.).
Scientific degree: Candidate of Physical and
Mathematical Sciences (01.01.06 – algebra and number theory, 2014.)
Position: Senior
Research Fellow (since 2020)
In Institute: from
2006.
Research interests:
linear algebra, matrix theory.
Some specialized publications:
- Romaniv A. M., Shchedryk V. P. Adequate
properties of matrix divisors // Math. methods and phys.-mech. fields –
2021. – 64. – No.
2. – Ñ. 47–51.
- Romaniv A. M. On the Smith normal form of least common
multiple matrices from some class of matrices // Math. methods and phys.-mech. fields –
2021. – 64. – ¹ 2.
– Ñ. 47–51.
- Romaniv A. M. Ñonditions for constructing of a square matrix which contains a square submatrix with given invariant factors // Applied problems of mechanics and mathematics. –
2021. – Âèï. 19 – Ñ. 84–87.
- Zabavsky B., Romaniv A., Kysil T. Elementary reduction of matrices over rings of almost stable range 1 // Algebra and Discrete Mathematics. –
2020. – 29, No. 2. – P. 271–276.
https://dx.doi.org/10.12958/adm1211
- Romaniv A. M., Dzhaliuk N. S. Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains // Applied problems of mechanics and
mathematics. – 2019. – 17. – P. 38−41.
- Romaniv A. M., Zabavsky B. V., Bilavska S.
I. Adequate properties
of the elements with almost stable range 1 of a commutative elementary divisor domain // Applied
problems of mechanics and mathematics. – 2018. – 16. – P. 33–35.
- Romaniv A. M. On the structure of least common
multiple matrices from some class of matrices // Carpathian Math. Publ. – 2018. – 10, No. 1. – P. 179–184.
- Romaniv A. M. Least common multiple of one class of
matrices // Applied problems of mechanics and mathematics.
– 2017. – No. 15. – P. 29–34.
- Romaniv A. M. The greatest common divisor and lest
common multiple of one class of matrices // Visnyk L'viv
Univ. Series Mekh.-Math. – 2016. – No. 82 – P. 186–191.
- Romaniv A. M. On the Smith
normal form of the greatest common divisor of one class of matrices //
Applied
problems of mechanics and mathematics. – 2015. – No 13 – P. 174–181.
- Romaniv A. M., Shchedryk V. P. Least common right multiple of the
matrices with one invariant factor different from the identity // J. Math. Sci. (N.Y.) – 2015. –
208. No 3 – P. 344–354.
- Romaniv A. M., Shchedryk V. P. Greatest common divisor of matrices one of
which is disappear matrix // Ukrainian Math. J. – 2014. – 66, No3. – P. 479–485.
- Romaniv A. M. Monic divisors with one invariant
factor of polynomial matrices // J. Math. Sci. (N.Y.) – 2012. – 181.
No 3 – P. 328–339.
- Romaniv A. M., Shchedryk V. P. The greatest common left divisor and the least
common right multiple of second order matrices // Math. Bull. Shevchenko Sci. Soc –
2012. – 9 – P. 269–284.
- Romaniv A. M. Monic
divisors of polynomial matrices over infinite field // Algebra Discrete Math.
– 2011. – 12, No 2. – P. 94–101.
- Romaniv A. M. Monic divisors with canonical diagonal form of polynomial matrices over infinite field // Matematychni Studii. – 2011.
– Vol 36, No
1. – P. 12–20.
- Romaniv A. M., Shchedryk V. P. On nonassociated
and monic divisors of polynomial matrices //
Applied
problems of mechanics and mathematics. – 2008. – No 6. – P. 72–79.
Thesis:
Romaniv A. M. Matrix divisors with prescribed canonical
diagonal forms over polynomial and elementary divisor rings // Thesis for obtaining the candidate
of physical and mathematical sciences degree.– Ivano-Frankivsk, 2014.
– 20 p.
Publication of presentations at conferences:
- Romaniv A. On property of invariant factors of
the matrix and its submatrix // Conference of young Scientists “Pidstryhach reading – 2022”. – L’viv, Ukraine May 25–27, 2022, L’viv.
– [Electronic resource].
– Access mode: (http://www.iapmm.lviv.ua/chyt2022/abstracts/Romaniv.pdf).
- Romaniv A. Divisibility of invariant factors of two matrices and invariant
factors of sum of these matrices // XIII International Algebraic Conference in Ukraine,
July 6-9, 2021, Kyiv, Ukraine. Book of Abstracts. – Kyiv:Taras
Shevchenko National
University of Kyiv,
2021. – 95 p. – [Electronic
resource]. – Access mode: https://bit.ly/3hcTbKe
– P.66.
- Andriy Romaniv
Divisibility of invariant factors of a matrix and its submatrix
// XI
International Skorobohatko Mathematical
Conference. October 26−30, 2020, Lviv, Ukraine. Abstracts: Lviv: Pidstryhach Institute
for Applied Problems of Mechanics and Mathematics, 2020. – 130 p. –
[Electronic resource].
– Access mode: http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf
– P.100.
- Romaniv A. M. Properties of the invariant
factors of the sum of
matrices // Book of abstracts of the International
mathematical conference
dedicated to the 60th anniversary of the department
of algebra and mathematical logic of Taras
Shevchenko National University of Kyiv, 14-17 July 2020, Kyiv, Ukraine. – 93 p. –
Ðåæèì äîñòóïó äî ðåñóðñó: https://bit.ly/2ZIyqMs– P. 71.
- Romaniv
A.M., Dzhaliuk N.S. Some connections between invariant factors of matrix
and its submatrix // International Scientific Conference Algebraic and Geometric Methods of Analysis, 26-30 may 2020, Odesa, Ukraine. – 131 p. – Access mode: https://www.imath.kiev.ua/~topology/conf/agma2020/agma-2020-abstracts/agma2020-theses.pdf
– P. 57.
- Romaniv A. Reduction of nonsingular matrices over
rings of almost stable range 1 // 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.
93-94).
- Romaniv A. An element with almost stable range 1 over a commutative elementary divisor domain // Conference of young Scientists “Pidstryhach reading – 2019”. – L’viv,
Ukraine
May 27–29, 2019, L’viv. – [Electronic resource].
– Access mode: (http://www.iapmm.lviv.ua/chyt2019/abstracts/Romaniv.pdf).
- Romaniv A.M. On the relationship between the Smith
normal forms of matrices and of their least common multiple // Book of abstracts of the
International Scientific Conference “Algebraic and geometric methods of
analysis” (May 30
– June 4, 2018,
Odesa,
Ukraine). P.53. [Electronic resource]. - Access
mode: (http://www.imath.kiev.ua/~topology/conf/agma2018). P. 53.
- Kuz A. M., Romaniv A. M., Symotiuk M. M. An analogue of an integral problem for equations with partial derivatives over a field of p-adic numbers // Nonlinear analysis problems: VI
All-Ukrainian mat. conf.
the name of B.V. Vasilishin: Abstract (26-28 september 2018ð., Ivano-Frankivsk
- Mykulychyn). – Ivano-Frankivsk: 2018. – P. 30.
- 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.
- Romaniv A.M. The Smith normal form of the lest common multiples of one class of matrices //
Book of abstracts of the XI International Algebraic Conference in Ukraine dedicated to the 75th anniversary
of V.V.Kirichenko (July, 2017, Kyiv, Ukraine).
P.115.
- Romaniv A. M. On decomposition of matrices from
full linear group in the product matrices from certain its subsets
// Conference of young
Scientists “ Pidstryhach reading – 2017”. – L’viv,
Ukraine May 23–25, 2017., L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2017. ).
- Romaniv A. M. The Smith normal form of the
greatest common divisor of one class of matrices // Conference of young Scientists “ Pidstryhach reading – 2016”. – L’viv,
Ukraine May 25–27, 2016., L’viv.
– [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2016/theses/Romaniv.pdf).
14. Romaniv A. M. On the divisibility of the
second-order matrices // 10th International Skorobohatko
mathematical conference. – Drohobych, Ukraine,
August 25–28, 2015. Book of
abstract. – P. 135.
15. Romaniv A. M. Greatest common left divisor
of second ordre matrices // Conference of young Scientists “Pidstryhach reading – 2015”. – L’viv,
Ukraine May 26–28, 2015., L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2015/theses/Romaniv.pdf).
16. Romaniv A. M. On the least common right multiples
of matrices over an adequate domain // International Algebraic Conference
dedicated to 100 anniversary of L. A. Kaluzhnin in Ukraine,
July 7–12, 2014. Book of abstract – Kyiv: Taras Shevchenko National University of Kyiv, 2014. – P. 72.
17. Romaniv A. M. On least common right multiples of singular matrices // Conference of young Scientists “ Pidstryhach reading – 2014”.– L’viv, Ukraine, May 28–30, 2014., L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2014/theses/Romaniv.pdf).
18. Romaniv À.Ì. Greatest common
left divisor of matrices one
of which is disappear // 9th International Algebraic Conference
in Ukraine. – L’viv, Ukraine, Jule
5–12, 2013. Abstract of talks. – L’viv: Ivan
Franko National University
of Lviv. – P.156.
19. A. M. Romaniv, V. P. Shchedryk On stable range of some class of matrices // International Conference “Modern
Problems of Mechanics and Mathematics”. – L’viv,
Ukraine May 21–25, 2013., L’viv. Abstract. – L’viv:
YA. S. Pidstryhach
Institute for APMM NAS of Ukraine. – P. 201–202.
20. Romaniv A. M., Shchedryk V. P. On Smith normal form of
greatest common left divisor and least common right multiple of matrices //
International
mathematical conference: Abstract
of talks – Mykolayiv:
Published by Mykolayiv
V.O. Suchomlinsky National
University, 2012. –
P. 116–117.
21. Romaniv A. M. On Smith normal form of greatest common left divisor of matrices
// Conference materials of
young Scientists “ Pidstryhach reading – 2012”. – L’viv,
Ukraine, May 23–25, 2012. – P 32–35. L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2012/materials/12.pdf).
22. Romaniv A. M. Monic divisors of polynomial matrices over
infinite field // IV
Conference of young Scientists Pidstryhach with
Modern Problems of Mechanics and Mathematics. – L’viv,
Ukraine, May 24–27, 2011. Abstract. – L’viv:
YA. S. Pidstryhach
Institute for APMM NAS of Ukraine.
– P. 264
23. Romaniv A. M. On monic divisors
of polynomial matrices // 8th International Algebraic Conference in Ukraine .
– Lugansk,
Ukraine, July 5 – 12, 2011, Book of abstracts . – Lugansk Taras Shevchenko National
University, Ukraine – P. 178.
24. Romaniv A. M. On monic divisors of singular polynomial
matrices // International
Skorobohatko mathematical conference. – Drohobych,
Ukraine, September 19–23,
2011. Abstracts – P.
176.
25. Romaniv A. M. On monic divisors with canonical diagonal
form of polynomial matrices // Conference of young Scientists “ Pidstryhach reading – 2010”. – L’viv, Ukraine, May 25–26, 2010. L’viv. –
[Electronic resource].
– Access mode: (http://www.iapmm.lviv.ua/chyt2010/materials/pc2010-02-R-2812.pdf).
26. Romaniv A. M.
On monic divisors with canonical
diagonal form of polynomial matrices
// XIII international
Scientific Kravchuk mathematical conference. – Kyiv, Ukraine , May 13-15, 2010:
Conference materials. V.2 – K. NTUU – 320 p. (P. 237).
27. Romaniv A. M. On some properties of a determinant matrix // Conference of young Scientists Pidstryhach with Modern Problems of Mechanics and
Mathematics. – L’viv, Ukraine, May 25–27, 2009. –P. 184–185.
28. Romaniv A. M. On regular divisors
of polynomial matrices // 6th International Algebraic Conference in Ukraine. –
Kamyanets-Podilsky, Ukraine, July
1–7, 2007. – P. 171–172.
Phone service: (032) 258 96 21
E-mail: romaniv_a@ukr.net