Operator interpolation and systems of linear equations and inequalities in Euclidean spaces

• Date: 2020
• Main Authors: Makarov, V. L., Khlobystov, V. V., Kashpur, O. F., Макаров, В. Л., Хлобістов, В. В., Кашпур, О. Ф., Хлобистов, В. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6201
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.988 We obtain new criteria of compatibility for a linear system of equations (equivalent to the Kronecker - Capelli's theorem) and inequalities (equivalent to S. M. Chernikov's theorem), which are related to conditions for the existence of a linear interpolation polynomial...