A Novel Necessary and Sufficient Condition for the Positivity of a Binary Quartic Form

In this paper, by considering the common points of two conics instead of the roots of the binary quartic form, we propose a novel necessary and sufficient condition for the positivity of a binary quartic form using the theory of the pencil of conics. First, we show the degenerate members of the penc...

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Bibliographic Details
Main Author: Yang Guo
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/2339746
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