Abstract
We use Newton’s method to approximate a zero of a mapping from a Lie group into its Lie algebra. Under the same computational cost as before, we show the semilocal convergence of Newton’s method with the following advantages over earlier works [55]: weaker sufficient convergence conditions, tighter error bounds on the distances involved and at least as precise information on the location of the solution. Numerical examples are also given for solving equations in cases not covered before.
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 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.
