INTEGER MULTIPLIERS OF REAL POLYNOMIALS WITHOUT NONNEGATIVE ROOTS

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International Electronic Journal of Algebra
Volume:28 Issue:28
INTEGER MULTIPLIERS OF REAL POLYNOMIALS WITHOUT NONNEGATIVE ROOTS

INTEGER MULTIPLIERS OF REAL POLYNOMIALS WITHOUT NONNEGATIVE ROOTS

Pages : 98-109

View : 14 | Download : 15

Publication Date : 2020-07-14

Article Type : Research Paper

Abstract :For a given real polynomial $f$ without nonnegative roots we study monic integer polynomials $g$ such that the product $g f$ has positive insert ignore into journalissuearticles values(nonnegative, respectively); coefficients. We show that monic integer polynomials~$g$ with these properties can effectively be computed, and we give lower and upper bounds for their degrees. $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$
Keywords : Real polynomial, integer polynomial, factorization

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