2025-02-22T10:18:54-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22journalsiapmmlvivua-article-3417%22&qt=morelikethis&rows=5
2025-02-22T10:18:54-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22journalsiapmmlvivua-article-3417%22&qt=morelikethis&rows=5
2025-02-22T10:18:54-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-22T10:18:54-05:00 DEBUG: Deserialized SOLR response
Conditions for constructing a square matrix that contains a square submatrix with given invariant factors

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...

Full description

Saved in:
Bibliographic Details
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
Subjects:
elementary divisor domain
square matrix
invariant factors
Smith normal form
UDC 512.64
область елементарних дільників
квадратна матриця
інваріантні множники
нормальна форма Сміта
УДК 512.64
Online Access:http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2021.19.84-87
Tags: Add Tag
No Tags, Be the first to tag this record!

Internet

http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2021.19.84-87

Similar Items