Analysis of the properties of some polynomial matrices by the Δ, C transformations of the certain numerical matrices

• Autorzy: Bilonoga D.
• Języki publikacji: EN

Abstrakty

EN

The author presents a proof of the theorem on a necessary and suficient condition for the semiscalar equivalency of the polynomial matrices with the relatively prime elementary divisors in terms of the Δ, C transformations of certain way builded numerical matrices.

Słowa kluczowe

EN

matrices; numerical matrices; polynomials

PL

macierze; macierze numeryczne; wielomiany

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 2
• Strony: 475--483
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Bilonoga D.

• Ukrainian National University "Lvivska Politechnika", S. Bandery str. 12, Lviv 79013, Ukraine

Bibliografia

• [1] P. S. Kazimirsky, D. M. Bilonoga, Semiscalar equivalency of the polynomial matrices with the relatively prime elementary divisors, Dopov./Dokl. Akad. Nauk Ukraini (1990), #4, pp. 8-9.
• [2] P. S. Kazimirsky, O. M. Melnick, Solution of the problem of the semiscalar equivalency of the polynomial matrices with reciprocally difference characteristics roots. Dopov./Dokl. Akad. Nauk Ukraini (1988), #11, pp. 9-12.
• [3] P. S. Kazimirsky, Decomposition of Matrix Polynomials into Factors, Kiev, Naukova Dumka, 1981, 224 pp. (in Ukrainian).
• [4] A. I. Maltsev, Basis of the Linear Algebra, Moskwa, Nauka, 1970, 400 pp. (in Russian).