When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.05021.20
URN: urn:nbn:de:0030-drops-3471
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Roy, Marie-Fran├žoise

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 =	{Roy, Marie-Fran\c{c}oise},
  title =	{{Subdiscriminant of symmetric matrices are sums of squares}},
  booktitle =	{Mathematics, Algorithms, Proofs},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{5021},
  editor =	{Thierry Coquand and Henri Lombardi and Marie-Fran\c{c}oise Roy},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-3471},
  doi =		{10.4230/DagSemProc.05021.20},
  annote =	{Keywords: Real algebra, sums of squares, subdiscriminants}

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

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