Structural stability of matrix pencils and of matrix pairs under contragredient equivalence

• Date: 2019
• Main Authors: García-Planas, M. I., Klymchuk, T., Гарсіа-Планас, М. І., Климчук, Т.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2019
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1468
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.64 A complex matrix pencil $A-\lambda B$ is called structurally stable if there exists its neighborhood in which all pencils are strictly equivalent to this pencil. We describe all complex matrix pencils that are structurally stable. It is shown that there are no pairs $(M,N)$ of $m\times n...