On Semiscalar and Quasidiagonal Equivalences of Matrices

• Date: 2000
• Main Authors: Shavarovskyy, B. Z., Шаваровський, Б. З.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4550
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For a certain class of polynomial matrices A(x), we consider transformations S A(x) R(x) with invertible matrices S and R(x), i.e., the so-called semiscalarly equivalent transformations. We indicate necessary and sufficient conditions for this type of equivalence of matrices. We introduce the notion...