Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains
Relationships between the invariant factors of matrices B and A, where B contains A as its first m rows, are investigated. In particular, we established necessary and sufficient conditions that a matrix A may be augmented with a single row to obtain a matrix B with given invariant factors over eleme...
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| Date: | 2019 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine
2019
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| Subjects: | |
| Online Access: | http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2019.17.38-41 |
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| Journal Title: | Prykladni Problemy Mekhaniky i Matematyky |
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Prykladni Problemy Mekhaniky i Matematyky| Summary: | Relationships between the invariant factors of matrices B and A, where B contains A as its first m rows, are investigated. In particular, we established necessary and sufficient conditions that a matrix A may be augmented with a single row to obtain a matrix B with given invariant factors over elementary divisor domains. Cite as: A. M. Romaniv, N. S. Dzhaliuk, “Some relationships between the invariant factors of matrix and its submatrix over elementary divisor domains,” Prykl. Probl. Mekh. Mat., Issue 17, 38–41 (2019), https://doi.org/10.15407/apmm2019.17.38-41 |
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