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Roy, Marie-Françoise

Subdiscriminant of symmetric matrices are sums of squares

05021.RoyMarieFrancoise.Paper.347.pdf (0.1 MB)


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.

BibTeX - Entry

  author =	{Marie-Fran{\c{c}}oise Roy},
  title =	{Subdiscriminant of symmetric matrices are sums of squares},
  booktitle =	{Mathematics, Algorithms, Proofs},
  year =	{2006},
  editor =	{Thierry Coquand and Henri Lombardi and Marie-Fran{\c{c}}oise Roy},
  number =	{05021},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{},
  annote =	{Keywords: Real algebra, sums of squares, subdiscriminants}

Keywords: Real algebra, sums of squares, subdiscriminants
Seminar: 05021 - Mathematics, Algorithms, Proofs
Issue Date: 2006
Date of publication: 16.01.2006

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