Software for reducing a matrix to Arnold’s normal form by smooth similarity transformations

• Date: 2015
• Author Affiliations: О. М. Клименко; І. О. Блажко; Д. О. Кублицький; Д. О. Скидан; С. М. Ящук
• Keywords: keywords
• Main Authors: Klymenko, O. M., Blazhko, I. O., Кублицький, Д. О., Skydan, D. O., Yashchuk, S. M., Клименко, О. М., Блажко, І. О., Скидан, Д. О., Ящук, С. М.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/151
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

V.I.Arnold (1971) constructed a miniversal deformation of each Jordan matrix $J$; that is, a simple normal form to which all matrices $A$ close to $J$ can be reduced by similarity transformations that smoothly depend on the entries of $A$. We describe a software for reducing a matrix in an neighborh...