Decomposability of matrix polynomials with commuting coefficients into a product of linear factors
The list of known sets of factorizable matrix polynomials is supplemented by new sets of polynomials of this sort. The known set of nonfactorizable matrix polynomials is extended. These results can be applied to the study of polynomial equations and systems of differential equations with constant co...
Saved in:
| Date: | 2010 |
|---|---|
| Main Authors: | Shavarovskyy, B. Z., Шаваровський, Б. З. |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2010
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2941 |
| 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
On decomposability of matrix polynomials with coefficients of quasi-simple structure
by: Shavarovsky , B. Z., et al.
Published: (1992)
by: Shavarovsky , B. Z., et al.
Published: (1992)
Selection of regular direct summands from matrix polynomials
by: Shavarovskyy, B. Z., et al.
Published: (1994)
by: Shavarovskyy, B. Z., et al.
Published: (1994)
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)
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 3-matrix factorization of polynomials
by: Fomatati, Yves Baudelaire
Published: (2026)
by: Fomatati, Yves Baudelaire
Published: (2026)
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: Daugulis, Peteris
Published: (2017)
by: Daugulis, Peteris
Published: (2017)
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: Daugulis, P.
Published: (2017)
by: Daugulis, P.
Published: (2017)
Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups
by: P. Daugulis
Published: (2017)
by: P. Daugulis
Published: (2017)
On Semiscalar and Quasidiagonal Equivalences of Matrices
by: Shavarovskyy, B. Z., et al.
Published: (2000)
by: Shavarovskyy, B. Z., et al.
Published: (2000)
Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, Nataliia S., et al.
Published: (2019)
by: Dzhaliuk, Nataliia S., et al.
Published: (2019)
Solutions of the matrix linear bilateral polynomial equation and their structure
by: Dzhaliuk, N.S., et al.
Published: (2019)
by: Dzhaliuk, N.S., et al.
Published: (2019)
On finite solvable groups decomposable into the product of two nilpotent subgroups
by: Chernikov, N. S., et al.
Published: (2000)
by: Chernikov, N. S., et al.
Published: (2000)
Decomposability of topological groups
by: Zelenyuk, E. G., et al.
Published: (1999)
by: Zelenyuk, E. G., et al.
Published: (1999)
Absolutely decomposable groups
by: Protasov, I. V., et al.
Published: (1996)
by: Protasov, I. V., et al.
Published: (1996)
Polynomials with integer coefficients and Chebyshev polynomials
by: R. M. Trigub
Published: (2016)
by: R. M. Trigub
Published: (2016)
Lagrange interpolation polynomial in a linear space with inner product
by: O. F. Kashpur, et al.
Published: (2018)
by: O. F. Kashpur, et al.
Published: (2018)
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)
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)
The Linear Span of Uniform Matrix Product States
by: De Lazzari, Claudia, et al.
Published: (2022)
by: De Lazzari, Claudia, et al.
Published: (2022)
Influence of some physico-chemical factors on properties of electrodes that decompose water catalytically
by: Primachenko, V.E., et al.
Published: (2007)
by: Primachenko, V.E., et al.
Published: (2007)
Even Hypergeometric Polynomials and Finite Free Commutators
by: Campbell, Jacob, et al.
Published: (2025)
by: Campbell, Jacob, et al.
Published: (2025)
Multiplication operator on a matrix polynomial
by: Mikityuk , Ya. V., et al.
Published: (1992)
by: Mikityuk , Ya. V., et al.
Published: (1992)
On Periodic Locally Solvable Groups Decomposable into the Product of Two Locally Nilpotent Subgroups
by: Chernikov, N. S., et al.
Published: (2000)
by: Chernikov, N. S., et al.
Published: (2000)
Approximation method in one boundary value problem for linear differential equation with polynomial coefficients
by: Sinaisky , E. S., et al.
Published: (1988)
by: Sinaisky , E. S., et al.
Published: (1988)
On a triangular form of polynomial matrix and its invariants with respect to semiscalar equivalence
by: B. Z. Shavarovskyi
Published: (2012)
by: B. Z. Shavarovskyi
Published: (2012)
Weil Classes and Decomposable Abelian Fourfolds
by: van Geemen, Bert
Published: (2022)
by: van Geemen, Bert
Published: (2022)
On the norm of decomposable subgroups in nonperiodic groups
by: F. N. Liman, et al.
Published: (2015)
by: F. N. Liman, et al.
Published: (2015)
On the norm of decomposable subgroups in nonperiodic groups
by: Liman, F. N., et al.
Published: (2015)
by: Liman, F. N., et al.
Published: (2015)
On decomposability of countable systems of differential equations
by: Samoilenko, A. M., et al.
Published: (1993)
by: Samoilenko, A. M., et al.
Published: (1993)
Absolute decomposability of the group of rational numbers
by: Protasov, I. V., et al.
Published: (1996)
by: Protasov, I. V., et al.
Published: (1996)
A Compact Formula for Rotations as Spin Matrix Polynomials
by: Curtright, T.L., et al.
Published: (2014)
by: Curtright, T.L., et al.
Published: (2014)
Mean value theorems for polynomial solutions of linear elliptic equations with constant coefficients in the complex plane
by: O. D. Trofymenko
Published: (2020)
by: O. D. Trofymenko
Published: (2020)
Non-singular solutions of one class of matrix equations over a polynomial ring
by: B. Z. Shavarovskyi
Published: (2019)
by: B. Z. Shavarovskyi
Published: (2019)
Recurrence Coefficients of a New Generalization of the Meixner Polynomials
by: Filipuk, G., et al.
Published: (2011)
by: Filipuk, G., et al.
Published: (2011)
Generalized derivations and commuting additive maps
on multilinear polynomials in prime rings
by: De, Filippis V., et al.
Published: (2016)
by: De, Filippis V., et al.
Published: (2016)
On the Norm of Decomposable Subgroups in Locally Finite Groups
by: F. N. Liman, et al.
Published: (2015)
by: F. N. Liman, et al.
Published: (2015)
On the Norm of Decomposable Subgroups in Locally Finite Groups
by: Lyman, F. N., et al.
Published: (2015)
by: Lyman, F. N., et al.
Published: (2015)
Modeling of entropy production and self-organization of decomposing metallic alloy under high current density
by: A. M. Gusak, et al.
Published: (2017)
by: A. M. Gusak, et al.
Published: (2017)
Modeling of entropy production and self-organization of decomposing metallic alloy under high current density
by: A. M. Husak, et al.
Published: (2017)
by: A. M. Husak, et al.
Published: (2017)
On isometric dilations of commutative systems of linear operators
by: Zolotarev, V.A.
Published: (2005)
by: Zolotarev, V.A.
Published: (2005)
Similar Items
-
On decomposability of matrix polynomials with coefficients of quasi-simple structure
by: Shavarovsky , B. Z., et al.
Published: (1992) -
Selection of regular direct summands from matrix polynomials
by: Shavarovskyy, B. Z., et al.
Published: (1994) -
Decomposition of polynomial matrices into a direct sum of triangular summands
by: Shavarovskyy, B. Z., et al.
Published: (1999) -
Canonical form of polynomial matrices with all identical elementary divisors
by: Shavarovskyy, B. Z., et al.
Published: (2012) -
On 3-matrix factorization of polynomials
by: Fomatati, Yves Baudelaire
Published: (2026)