Monic divisors of polynomial matrices over infinite field
The necessary and sufficient conditions of existence of monic divisors of a nonsingular polynomial matrix over an infinite field are established.
Saved in:
| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2011 |
| Main Author: | Romaniv, A. |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2011
|
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154854 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Monic divisors of polynomial matrices over infinite field / A. Romaniv // Algebra and Discrete Mathematics. — 2011. — Vol. 12, № 2. — С. 94–101. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of UkraineSimilar Items
Monic divisors of polynomial matrices over infinite field
by: Romaniv, Andriy
Published: (2018)
by: Romaniv, Andriy
Published: (2018)
On One Class of Divisors of Polynomial Matrices over Integral Domains
by: Prokip, V. M., et al.
Published: (2003)
by: Prokip, V. M., et al.
Published: (2003)
Factorization of matrices over elementary divisor domain
by: Shchedryk, Volodymyr
Published: (2018)
by: Shchedryk, Volodymyr
Published: (2018)
Factorization of matrices over elementary divisor domain
by: Shchedryk, V.
Published: (2009)
by: Shchedryk, V.
Published: (2009)
On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field
by: Prokip, V. M., et al.
Published: (1993)
by: Prokip, V. M., et al.
Published: (1993)
Structure of Matrices and Their Divisors over the Domain of Principal Ideals
by: Prokip, V. M., et al.
Published: (2002)
by: Prokip, V. M., et al.
Published: (2002)
On the equivalence of polynomial matrices over a field
by: V. Prokip
Published: (2024)
by: V. Prokip
Published: (2024)
On the equivalence of polynomial matrices over a field
by: Prokip , V., et al.
Published: (2024)
by: Prokip , V., et al.
Published: (2024)
Canonical form of polynomial matrices with all identical elementary divisors
by: Shavarovskyy, B. Z., et al.
Published: (2012)
by: Shavarovskyy, B. Z., et al.
Published: (2012)
On the Smith normal form of the greatest common divisor of one class of matrices
by: A. M. Romaniv
Published: (2015)
by: A. M. Romaniv
Published: (2015)
Stable rank of the set of full matrices over the ring of elementary divisors
by: B. V. Zabavskyi, et al.
Published: (2014)
by: B. V. Zabavskyi, et al.
Published: (2014)
A method for finding a common linear divisor of the matrix polynomials over an arbitrary field
by: Prokip, V. M., et al.
Published: (1993)
by: Prokip, V. M., et al.
Published: (1993)
Greatest common divisor of matrices one of which is a disappear matrix
by: O. M. Romaniv, et al.
Published: (2014)
by: O. M. Romaniv, et al.
Published: (2014)
Principal flat ideals in the ring of matrices over commutative elementary divisors domain
by: H. V. Zelisko
Published: (2012)
by: H. V. Zelisko
Published: (2012)
Generalized equivalence of collections of matrices and common divisors of matrices
by: Petrychkovych, Vasyl M.
Published: (2018)
by: Petrychkovych, Vasyl M.
Published: (2018)
Generalized equivalence of collections of matrices and common divisors of matrices
by: Petrychkovych, V.M.
Published: (2004)
by: Petrychkovych, V.M.
Published: (2004)
Greatest common divisor of matrices one of which is a disappear matrix
by: Romaniv, A. M., et al.
Published: (2014)
by: Romaniv, A. M., et al.
Published: (2014)
The greatest common divisors and least common multiples of matrices over commutative Bezout domains
by: V. P. Shchedryk
Published: (2014)
by: V. P. Shchedryk
Published: (2014)
On normal form with respect to semiscalar equivalence of polynomial matrices over a field
by: V. M. Prokip
Published: (2012)
by: V. M. Prokip
Published: (2012)
Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains
by: A. M. Romaniv, et al.
Published: (2019)
by: A. M. Romaniv, et al.
Published: (2019)
Generated set of matrices divisors and its propertiess
by: V. P. Shchedryk
Published: (2013)
by: V. P. Shchedryk
Published: (2013)
On the factorization of polynomial matrices over the domain of principal ideals
by: Prokip, V. M., et al.
Published: (1996)
by: Prokip, V. M., et al.
Published: (1996)
Polynomial matrices over a factorial domain and their factorization with given characteristic polynomials
by: Prokip, V. M., et al.
Published: (1998)
by: Prokip, V. M., et al.
Published: (1998)
The least common multiple of matrices from one class of matrices over a commutative principal ideal domain
by: A. M. Romaniv
Published: (2017)
by: A. M. Romaniv
Published: (2017)
A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices”
by: Petrychkovych, Vasyl M.
Published: (2018)
by: Petrychkovych, Vasyl M.
Published: (2018)
A note to my paper “Generalized equivalence of collections of matrices and common divisors of matrices”
by: Petrychkovych, V.M.
Published: (2005)
by: Petrychkovych, V.M.
Published: (2005)
Elementary Reduction of Matrices over Right 2-Euclidean Rings
by: Romaniv, A. M., et al.
Published: (2004)
by: Romaniv, A. M., et al.
Published: (2004)
Addition of Divisors on Hyperelliptic Curves via Interpolation Polynomials
by: Bernatska, Julia, et al.
Published: (2020)
by: Bernatska, Julia, et al.
Published: (2020)
Preacyclicity over the rings with infinite fields of residues
by: B. R. Zajnalov
Published: (2016)
by: B. R. Zajnalov
Published: (2016)
Preacyclicity over the rings with infinite fields of residues
by: Zainalov, B. R., et al.
Published: (2016)
by: Zainalov, B. R., et al.
Published: (2016)
Elementary reduction of matrices over rings of almost stable range 1
by: Zabavsky, B., et al.
Published: (2020)
by: Zabavsky, B., et al.
Published: (2020)
Elementary reduction of matrices over rings of almost stable range 1
by: Zabavsky, B., et al.
Published: (2020)
by: Zabavsky, B., et al.
Published: (2020)
Elementary reduction of matrices over Bezout ring with n-fold stable range 1
by: O. M. Romaniv
Published: (2012)
by: O. M. Romaniv
Published: (2012)
Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials
by: Kuchma, M. I., et al.
Published: (2001)
by: Kuchma, M. I., et al.
Published: (2001)
Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains
by: Romaniv, A. M.; Романів А. М.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, et al.
Published: (2019)
by: Romaniv, A. M.; Романів А. М.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів, et al.
Published: (2019)
Construction of polygar-monic models with nonmultiple frequencies on the principles of genetic algorithms for description of vibrational processes
by: M. I. Gorbijchuk, et al.
Published: (2018)
by: M. I. Gorbijchuk, et al.
Published: (2018)
Expressing infinite matrices as sums of idempotents
by: R. Słowik
Published: (2017)
by: R. Słowik
Published: (2017)
Expressing infinite matrices as sums of idempotents
by: Słowik, R., et al.
Published: (2017)
by: Słowik, R., et al.
Published: (2017)
Inverse of Infinite Hankel Moment Matrices
by: Berg, C., et al.
Published: (2018)
by: Berg, C., et al.
Published: (2018)
Localization of eigenvalues of polynomial matrices
by: Mazko, A. G., et al.
Published: (2010)
by: Mazko, A. G., et al.
Published: (2010)
Similar Items
-
Monic divisors of polynomial matrices over infinite field
by: Romaniv, Andriy
Published: (2018) -
On One Class of Divisors of Polynomial Matrices over Integral Domains
by: Prokip, V. M., et al.
Published: (2003) -
Factorization of matrices over elementary divisor domain
by: Shchedryk, Volodymyr
Published: (2018) -
Factorization of matrices over elementary divisor domain
by: Shchedryk, V.
Published: (2009) -
On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field
by: Prokip, V. M., et al.
Published: (1993)