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  • Positive univariate trace polynomials
    Klep, Igor, matematik ; Pascoe, James Eldred ; Volčič, Jurij, 1991-
    A univariate trace polynomial is a polynomial in a variable ▫$x$▫ and formal trace symbols Tr(▫$x^j$▫). Such an expression can be naturally evaluated on matrices, where the trace symbols are ... evaluated as normalized traces. This paper addresses global and constrained positivity of univariate trace polynomials on symmetric matrices of all finite sizes. A tracial analog of Artin's solution to Hilbert's 17th problem is given: a positive semidefinite univariate trace polynomial is a quotient of sums of products of squares and traces of squares of trace polynomials.
    Vir: Journal of algebra. - ISSN 0021-8693 (Vol. 579, Aug. 2021, str. 303-317)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2021
    Jezik - angleški
    COBISS.SI-ID - 105932803

vir: Journal of algebra. - ISSN 0021-8693 (Vol. 579, Aug. 2021, str. 303-317)
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