Abstract
The celebrated Gauss-Lucas theorem states that all the roots of the derivative of a complex non-constant polynomialpplie in the convex hull of the roots ofpp, called the Lucas polygon ofpp. We improve the Gauss-Lucas theorem by proving that all the nontrivial roots ofp′p’lie in a smaller convex polygon which is obtained by a strict contraction of the Lucas polygon ofpp.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
