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

• Datum: 2020
• Hauptverfasser: Makarov, V. L., Khlobystov, V. V., Kashpur, O. F., Макаров, В. Л., Хлобістов, В. В., Кашпур, О. Ф., Хлобистов, В. В.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/6201
• Назва журналу: 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...