On special divisors of singular matrix polynomials (in Ukrainian) |
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| Author |
Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 1 Universytetska St., Lviv 290602, Ukraine
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| Abstract |
We obtain neсessary and sufficient conditions for decomposition of a matrix
polyno mial $A(x)$ as a product $A(x)=B(x)C(x)$ of two singular matrix
polynomials
with some special properties.
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| Keywords |
matrix polynomial, decomposition, singular matrix polynomials, necessary and sufficient conditions
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| DOI |
doi:10.30970/ms.8.2.153-156
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Reference |
1. П. Казiмiрський. Розклад матричних многочленiв на множники. — Київ: Наукова думка, 1981. 224c.
2. В. Зелiско. Сингулярнi дiльники матричного многочлена Вiсник Львiвського унiверситету, сер.мех.-мат., 1996, вип.43. C.13–15. 3. Ф. Гантмахер. Теория матриц. — Москва:Наука, 1988. 552с. 4. П. Казимирский, В. Щедрик. О решениях матричных многочленных односторонних уравнений ДАН СССР, 1989. Т.304, №2. С.271–274. 5. M. Newnan. The Smith Normal Form of a Partitioned Matrix Journ. Res. Bur. Stand. Math. Sci., 1974. V78B, №1. P.233–244. |
| Pages |
153-156
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| Volume |
8
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| Issue |
2
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| Year |
1997
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| Journal |
Matematychni Studii
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| Full text of paper | |
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