Неособливі розв’язки одного класу матричних рівнянь над кільцем поліномів

Binomial two-sided homogeneous matrix equations with two unknowns are considered. The coefficients of the equations are third-order polynomial matrices of simple structure. For these equations, the conditions of existence and the method of finding a solution, which is a pair of a non-singular numeri...

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Datum:2019
1. Verfasser: Shavarovskii, B. Z.; Шаваровський Б. З.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів
Format: Artikel
Sprache:Ukrainian
Veröffentlicht: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2019
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Online Zugang:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2019.17.17-26
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Назва журналу:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky
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Zusammenfassung:Binomial two-sided homogeneous matrix equations with two unknowns are considered. The coefficients of the equations are third-order polynomial matrices of simple structure. For these equations, the conditions of existence and the method of finding a solution, which is a pair of a non-singular numerical matrix and a reversible polynomial matrix, are specified. Cite as: B. Z. Shavarovskii, "Non-singular solutions of one class of matrix equations over a polynomial ring," Prykl. Probl. Mekh. Mat., Issue 17, 17–26 (2019) (in Ukrainian), https://doi.org/10.15407/apmm2019.17.17-26