Conditions for constructing a square matrix that contains a square submatrix with given invariant factors

Necessary and sufficient conditions that (n-k)×(n-k)-matrix A, 1≤k≤n-1, may be augmented to n×n-matrix C with given invariant factors over elementary divisor domains are established. Moreover, we indicated some pro­perties of the invariant factors of matrix C and its submatrix A. Cite as: A. M. Roma...

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Bibliographic Details
Date:2021
Main Author: Romaniv, A. M.; Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України, Львів; Національний університет «Львівська політехніка», Львів
Format: Article
Language:English
Published: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine 2021
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Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2021.19.84-87
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Journal Title:Prykladni Problemy Mekhaniky i Matematyky

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Prykladni Problemy Mekhaniky i Matematyky