An iterative approach for real roots of polynomials

2019/02/01 by Billiot, J. -M, Fontenas, E
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1902.00362

Abstract

In the present study, we propose necessary and sufficient assumptions on the coefficients in order to only get distinct real roots of polynomials.

Related

• Criteria for a split real polynomial
• Computing Real Roots of Real Polynomials
• Forward stable computation of roots of real polynomials with only real distinct roots
• Real Polynomial Root-finding by Means of Matrix and Polynomial Iterations
• Iterative polynomial-root-finding procedure with enhanced accuracy