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Sbornik: Mathematics, 2015, Volume 206, Issue 6, Pages 770–781
DOI: https://doi.org/10.1070/SM2015v206n06ABEH004478 (Mi sm8385) 		 
Subdiscriminants of a symmetric matrix and Jacobians of its invariant mappings

N. V. Ilyushechkin

Joint Stock Company "Concern Morinformsystem–Agat", Moscow, Russia
English version PDF (425 kB) Russian version article
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DOI: https://doi.org/10.1070/SM2015v206n06ABEH004478
Abstract: We present expressions for subdiscriminants of a symmetric matrix using sums of squares of the Jacobians of some invariant mappings of the matrix. We give simple and rather general sufficient conditions on these mappings under which they generate all subdiscriminants, including the discriminant. In particular, the subdiscriminants can be generated in this way by the system of all invariants of a symmetric matrix, that is, by the coefficients of its characteristic polynomial.
Bibliography: 10 titles.
Keywords: subdiscriminants, Jacobians, sums of squares.
Received: 13.05.2014 and 01.10.2014
Bibliographic databases:
Document Type: Article
UDC: 512.643.5
MSC: Primary 15A15; Secondary 15A18
Language: English
Original paper language: Russian
Citation: N. V. Ilyushechkin, “Subdiscriminants of a symmetric matrix and Jacobians of its invariant mappings”, Sb. Math., 206:6 (2015), 770–781
Citation in format AMSBIB
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\paper Subdiscriminants of a~symmetric matrix and Jacobians of its invariant mappings
\jour Sb. Math.
\yr 2015
\vol 206
\issue 6
\pages 770--781
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