Parallel factorizations of polynomial matrices
Conditions are established under which suggested factorizations of polynomial matrices over a field are parallel to factorizations of their canonical diagonal forms. An existence criterion of these factorizations of polynomial matrices is indicated and a method of constructing them is suggested.
Saved in:
| Date: | 2024 |
|---|---|
| Main Authors: | Petrichkovich , V. M., Петричкович , В. М. |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2024
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8174 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi ZhurnalSimilar Items
A criterion of diagonalizability of a pair of matrices over the ring of principal ideals by common row and separate column transformations
by: Petrichkovich, V. M., et al.
Published: (1997)
by: Petrichkovich, V. M., et al.
Published: (1997)
Triangular form of Laurent polynomial matrices and their factorization
by: M. I. Kuchma, et al.
Published: (2022)
by: M. I. Kuchma, et al.
Published: (2022)
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)
Localization of eigenvalues of polynomial matrices
by: Mazko, A. G., et al.
Published: (2010)
by: Mazko, A. G., et al.
Published: (2010)
Semiscalar equivalence of polynomial matrices and triangular similarity of numerical matrices
by: B. Z. Shavarovskyi
Published: (2013)
by: B. Z. Shavarovskyi
Published: (2013)
On the equivalence of polynomial matrices over a field
by: Prokip , V., et al.
Published: (2024)
by: Prokip , V., et al.
Published: (2024)
On the equivalence of polynomial matrices over a field
by: V. Prokip
Published: (2024)
by: V. Prokip
Published: (2024)
The absolute factorization of matrices in the rings of block-triangular matrices
by: N. S. Dzhaliuk, et al.
Published: (2013)
by: N. S. Dzhaliuk, et al.
Published: (2013)
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 of permutation type
by: Kruglov, V. E., et al.
Published: (1994)
by: Kruglov, V. E., et al.
Published: (1994)
Monic divisors of polynomial matrices over infinite field
by: Romaniv, Andriy
Published: (2018)
by: Romaniv, Andriy
Published: (2018)
On some invariants of polynomial matrices with respect to semiscalar equivalence
by: B. Z. Shavarovskyi
Published: (2018)
by: B. Z. Shavarovskyi
Published: (2018)
The block-diagonal similarity and semissalar equivalence of polynomial matrices
by: B. Z. Shavarovskyi
Published: (2015)
by: B. Z. Shavarovskyi
Published: (2015)
Monic divisors of polynomial matrices over infinite field
by: Romaniv, A.
Published: (2011)
by: Romaniv, A.
Published: (2011)
A family of doubly stochastic matrices involving Chebyshev polynomials
by: Ahmed, T., et al.
Published: (2019)
by: Ahmed, T., et al.
Published: (2019)
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)
Decomposition of polynomial matrices into a direct sum of triangular summands
by: Shavarovskyy, B. Z., et al.
Published: (1999)
by: Shavarovskyy, B. Z., et al.
Published: (1999)
On equivalence and factorization of the Kronecker product of matrices
by: V. R. Zelisko, et al.
Published: (2019)
by: V. R. Zelisko, et al.
Published: (2019)
A parallel algorithm for solving the partial eigenvalue problemfor block-diagonal bordered matrices
by: A. N. Khimich, et al.
Published: (2020)
by: A. N. Khimich, et al.
Published: (2020)
Equivalence of matrices in the ring $M(n, R)$ and its subrings
by: Dzhaliuk , N. S., et al.
Published: (2021)
by: Dzhaliuk , N. S., et al.
Published: (2021)
Factorization of generalized г-generating matrices
by: O. Sukhorukova
Published: (2017)
by: O. Sukhorukova
Published: (2017)
Factorization of generalized γ-generating matrices
by: Sukhorukova, O.
Published: (2017)
by: Sukhorukova, O.
Published: (2017)
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)
Factorization of matrices-functions of a partial type
by: Gordienko, V. N., et al.
Published: (1970)
by: Gordienko, V. N., et al.
Published: (1970)
On the Correlation Functions of the Characteristic Polynomials of Real Random Matrices with Independent Entries
by: I. Afanasiev
Published: (2020)
by: I. Afanasiev
Published: (2020)
Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices
by: Rosengren, H.
Published: (2006)
by: Rosengren, H.
Published: (2006)
Factorization of matrices over elementary divisor domain
by: Shchedryk, V.
Published: (2009)
by: Shchedryk, V.
Published: (2009)
On 3-matrix factorization of polynomials
by: Fomatati, Yves Baudelaire
Published: (2026)
by: Fomatati, Yves Baudelaire
Published: (2026)
On one method of factorization of polynomials
by: Dzhalladova, I. A., et al.
Published: (1999)
by: Dzhalladova, I. A., et al.
Published: (1999)
On One Method for Factorization of Algebraic Polynomials
by: Podlevs’kyi, B. M., et al.
Published: (2003)
by: Podlevs’kyi, B. M., et al.
Published: (2003)
Factorization of matrices over elementary divisor domain
by: Shchedryk, Volodymyr
Published: (2018)
by: Shchedryk, Volodymyr
Published: (2018)
Hybrid algorithm for factorization of band nonsymmetric matrices
by: Yu. Baranov
Published: (2015)
by: Yu. Baranov
Published: (2015)
On matrices associated to prime factorization of odd integers
by: Bier, T.
Published: (2008)
by: Bier, T.
Published: (2008)
Tiled hybrid algorithm for factorization of structurally symmetric matrices
by: O. M. Khimich, et al.
Published: (2017)
by: O. M. Khimich, et al.
Published: (2017)
Parallel non-negative sparse extra-large matrix factorization
by: Nasirov, E.M.
Published: (2025)
by: Nasirov, E.M.
Published: (2025)
Single-node Hybrid Algorithm Factorization of Sparse Matrices
by: V. A. Sydoruk
Published: (2017)
by: V. A. Sydoruk
Published: (2017)
Triangularization of a pair of matrices over a principal ideal domain with minimal quadratic polynomials
by: V. M. Prokip
Published: (2015)
by: V. M. Prokip
Published: (2015)
Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model
by: Rubtsov, V., et al.
Published: (2009)
by: Rubtsov, V., et al.
Published: (2009)
On the stable range of matrix rings
by: Zabavskii, B. V., et al.
Published: (2009)
by: Zabavskii, B. V., et al.
Published: (2009)
Similar Items
-
A criterion of diagonalizability of a pair of matrices over the ring of principal ideals by common row and separate column transformations
by: Petrichkovich, V. M., et al.
Published: (1997) -
Triangular form of Laurent polynomial matrices and their factorization
by: M. I. Kuchma, et al.
Published: (2022) -
On the factorization of polynomial matrices over the domain of principal ideals
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) -
Localization of eigenvalues of polynomial matrices
by: Mazko, A. G., et al.
Published: (2010)