DagSemProc.05021.20.pdf
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Subdiscriminant of symmetric matrices are sums of squares
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Dagstuhl Seminar Proceedings, Volume 5021
Series: Dagstuhl Seminar Proceedings (DagSemProc) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2006-01-16
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Marie-Françoise Roy. Subdiscriminant of symmetric matrices are sums of squares. In Mathematics, Algorithms, Proofs. Dagstuhl Seminar Proceedings, Volume 5021, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)
https://doi.org/10.4230/DagSemProc.05021.20
Abstract
We present a very elementary algebraic proof providing an explicit sum of squares. This result generalizes a result on discriminants of symmetric matrices due to Ilyushechkin and proved also by P. Lax.
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Keywords
- Real algebra
- sums of squares
- subdiscriminants
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