Construction of unital matrix polynomials with mutually distinct characteristic roots
We investigate the construction of unital matrix polynomials with mutually distinct characteristic roots, namely, their similarity and reducibility by the similarity transformation to block-triangular, block-diagonal, and, in particular, to triangular and diagonal forms. We also study the problem of...
Saved in:
| Date: | 1993 |
|---|---|
| Main Authors: | Mel'nyk, O. M., Мельник, О. М. |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1993
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5784 |
| 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
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)
Construction of analogs of the Lyapunov equation for a matrix polynomial
by: Mazko, A. G., et al.
Published: (1995)
by: Mazko, A. G., et al.
Published: (1995)
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)
Asymptotic distinction of counting processes
by: Lin'kov, Yu. N., et al.
Published: (1993)
by: Lin'kov, Yu. N., et al.
Published: (1993)
Faber polynomials with common roots
by: V. V. Savchuk
Published: (2014)
by: V. V. Savchuk
Published: (2014)
Method for calculation of square roots in polynomial
by: Ju. Semenov
Published: (2019)
by: Ju. Semenov
Published: (2019)
Non-destructive control of units of complicated machinery complexes according to mutual statistic characteristics of vibration signals
by: R. M. Yuzefovych, et al.
Published: (2017)
by: R. M. Yuzefovych, et al.
Published: (2017)
On sequences that do not increase the number of real roots of polynomials
by: Bakan, A. G., et al.
Published: (1993)
by: Bakan, A. G., et al.
Published: (1993)
Equivalence of almost root vectors of polynomial beams of operators
by: Radzievsky , G. V., et al.
Published: (1992)
by: Radzievsky , G. V., et al.
Published: (1992)
Construction of intermediate differentiable functions
by: Maslyuchenko, V. K., et al.
Published: (2018)
by: Maslyuchenko, V. K., et al.
Published: (2018)
Topological semigroups of matrix units
by: Gutik, O.V., et al.
Published: (2005)
by: Gutik, O.V., et al.
Published: (2005)
Mutual Effect of Stress Concentrators on the Face and Root Sides of Butt Welded Joint on the Stress State
by: A. V. Moltasov, et al.
Published: (2023)
by: A. V. Moltasov, et al.
Published: (2023)
On 3-matrix factorization of polynomials
by: Fomatati, Yves Baudelaire
Published: (2026)
by: Fomatati, Yves Baudelaire
Published: (2026)
The value of matrix on a system of roots of diagonal elements of matrix and its properties
by: V. P. Shchedryk
Published: (2015)
by: V. P. Shchedryk
Published: (2015)
Academician V. Ya. Bunyakovs'kyi (on
200-th anniversary of his birthday)
by: Mel'nik, V. S., et al.
Published: (2004)
by: Mel'nik, V. S., et al.
Published: (2004)
On Galois groups of prime degree polynomials with complex roots
by: Ben-Shimol, Oz
Published: (2018)
by: Ben-Shimol, Oz
Published: (2018)
On Galois groups of prime degree polynomials with complex roots
by: Oz Ben-Shimol
Published: (2009)
by: Oz Ben-Shimol
Published: (2009)
On the Number of Real Roots of the Yablonskii-Vorob'ev Polynomials
by: Roffelsen, P.
Published: (2012)
by: Roffelsen, P.
Published: (2012)
Multiplication operator on a matrix polynomial
by: Mikityuk , Ya. V., et al.
Published: (1992)
by: Mikityuk , Ya. V., et al.
Published: (1992)
Topological semigroups of matrix units
by: Gutik, Oleg V., et al.
Published: (2018)
by: Gutik, Oleg V., et al.
Published: (2018)
The solutions of matrix polynomial diophantine equation
by: N. S. Dzhaliuk, et al.
Published: (2012)
by: N. S. Dzhaliuk, et al.
Published: (2012)
Construction and research based biorthogonal polynomials Chebyshev polynomials
by: Ya. D. Pianylo, et al.
Published: (2013)
by: Ya. D. Pianylo, et al.
Published: (2013)
Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
by: Rosengren, Hjalmar, et al.
Published: (2020)
by: Rosengren, Hjalmar, et al.
Published: (2020)
Calculation of Corteges of Solutions of Matrix Polynomial Equations
by: M. O. Nedashkovskyi
Published: (2019)
by: M. O. Nedashkovskyi
Published: (2019)
Asymptotic representation of the perron root of a matrix-valued stochastic evolution
by: Yeleyko, Ya. I., et al.
Published: (1996)
by: Yeleyko, Ya. I., et al.
Published: (1996)
Solving for Matrix Polynomial Equations with Vector Unknowns
by: M. O. Nedashkovskyi, et al.
Published: (2017)
by: M. O. Nedashkovskyi, et al.
Published: (2017)
Morita equivalent unital locally matrix algebras
by: Bezushchak, O., et al.
Published: (2020)
by: Bezushchak, O., et al.
Published: (2020)
Law of Large Numbers for Roots of Finite Free Multiplicative Convolution of Polynomials
by: Fujie, Katsunori, et al.
Published: (2023)
by: Fujie, Katsunori, et al.
Published: (2023)
Irrationality of the Roots of the Yablonskii-Vorob'ev Polynomials and Relations between Them
by: Roffelsen, P.
Published: (2010)
by: Roffelsen, P.
Published: (2010)
Disintegration Ethnopolitical Processes: Classification and Distinction
by: V. A. Yavir
Published: (2017)
by: V. A. Yavir
Published: (2017)
Calculation of Corteges of Solutions of Matrix Polynomial Equations
by: Недашковський, Микола Олександрович
Published: (2019)
by: Недашковський, Микола Олександрович
Published: (2019)
On time dependent orthogonal polynomials on the unit circle
by: Ben-Artzi, A., et al.
Published: (1994)
by: Ben-Artzi, A., et al.
Published: (1994)
On time dependent orthogonal polynomials on the unit circle
by: Ben-Artzi, A., et al.
Published: (1994)
by: Ben-Artzi, A., et al.
Published: (1994)
Single channel recordings reveal distinctive characteristics of Ca2+ -permeable channels in the inner mitochondrial membrane
by: O. I. Bondarenko
Published: (2014)
by: O. I. Bondarenko
Published: (2014)
Distinctive numbers of production systems functioning description
by: Pignasty, O.M.
Published: (2007)
by: Pignasty, O.M.
Published: (2007)
Construction of asymptotic representations of solutions from the classL?? for systems of differential equations by the method of characteristic matrix functions
by: Ivanyuk, N. N., et al.
Published: (1994)
by: Ivanyuk, N. N., et al.
Published: (1994)
Sacraments in Orthodoxy and Catholicism: Common and Distinctive Features
by: Yu. Nedzelska
Published: (2011)
by: Yu. Nedzelska
Published: (2011)
A new approach to earthquake precursors distinction
by: Korepanov, V. E., et al.
Published: (2012)
by: Korepanov, V. E., et al.
Published: (2012)
A new approach to earthquake precursors distinction
by: V. E. Korepanov, et al.
Published: (2012)
by: V. E. Korepanov, et al.
Published: (2012)
The terms denoting types of rhymes as to grammatical distinction
by: L. V. Movchun
Published: (2019)
by: L. V. Movchun
Published: (2019)
Similar Items
-
Symmetric Equivalence of Matrix Polynomials and Isolation of a Common Unital Divisor in Matrix Polynomials
by: Kuchma, M. I., et al.
Published: (2001) -
Construction of analogs of the Lyapunov equation for a matrix polynomial
by: Mazko, A. G., et al.
Published: (1995) -
On the uniqueness of the unital divisor of a matrix polynomial over an arbitrary field
by: Prokip, V. M., et al.
Published: (1993) -
Asymptotic distinction of counting processes
by: Lin'kov, Yu. N., et al.
Published: (1993) -
Faber polynomials with common roots
by: V. V. Savchuk
Published: (2014)