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

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...

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal