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- W3215535618 abstract "Given rational univariate polynomials f and g such that gcd(f, g) and f / gcd(f, g) are relatively prime, we show that g is non-negative on all the real roots of f if and only if g is a sum of squares of rational polynomials modulo f. We complete our study by exhibiting an algorithm that produces a certificate that a polynomial g is non-negative on the real roots of a non-zero polynomial f , when the above assumption is satisfied." @default.
- W3215535618 created "2021-12-06" @default.
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- W3215535618 date "2021-12-01" @default.
- W3215535618 modified "2023-09-27" @default.
- W3215535618 title "Univariate Rational Sums of Squares" @default.
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