Abstract
This is a study of some methods for the simultaneous determination of polynomial zeros. First, it is shown that Tanabe’s method is Chebyshev’s applied to a system of nonlinear equations. Next, a unified convergence analysis is given for some known methods with cubic rate of convergence. Furthermore, it is shown that an SOR-like acceleration of the Durand-Kerner method converges for |ω−1|<1, where ω denotes an acceleration parameter. This means the convergence of the method for 0<ω<2 if ω is restricted to a real parameter. Numerical examples are also given, which illustrate our results. Finally, some comments are added.
Sign-in/Register to access full text options 
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 callMore From: Japan Journal of Industrial and Applied Mathematics
Disclaimer: 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.
