Root Configurations of Real Univariate Cubics and Quartics

2015/11/23 by Gonzalez, Elias, Weinberg, David A.
#00A05 (Secondary) #12Y05 (Primary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1511.07489

Abstract

For the general monic cubic and quartic with real coefficients, polynomial conditions on the coefficients are derived as directly and as simply as possible from the Sturm sequence that will determine the real and complex root multiplicities together with the order of the real roots with respect to multiplicity.

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