TY - JOUR
AU - Romaniv, A.M.
PY - 2018/07/03
Y2 - 2024/04/22
TI - On the structure of least common multiple matrices from some class of matrices
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 10
IS - 1
SE - Scientific articles
DO - 10.15330/cmp.10.1.179-184
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/1480
SP - 179-184
AB - <p>For non-singular matrices with some restrictions, we establish the relationships between Smith normal forms and transforming matrices (a invertible matrices that transform the matrix to its Smith normal form) of two matrices with corresponding matrices of their least common right multiple over a commutative principal ideal domains. Thus, for such a class of matrices, given answer to the well-known task of M. Newman. Moreover, for such matrices, received a new method for finding their least common right multiple which is based on the search for its Smith normal form and transforming matrices.</p>
ER -