Wegstein's Method

The primary video covering Wegstein's Method can be found here https://youtu.be/T_6mR6rJXQQ. It requires knowledge of Fixed Point Iteration and its recommended that you watch the videos on Steffensen's Method with Aitken's Δ² and Fixed Point Iteration Q&A. The code for Wegstein's method is written in Kotlin and can be found in Wegstein.kt.

You can run the program online through CodingGround (when the service is available) or alternatively by using Kotlin Playground. To run locally, have Java JDK and Kotlin installed and then type kotlinc Wegstein.kt -include-runtime -d Wegstein.jar followed by java -jar Wegstein.jar. I recommend using an IDE like Visual Studio Code with the Code Runner extension to execute Kotlin programs.

Primary Sources:

• Wegstein's original paper: https://dl.acm.org/citation.cfm?id=368871
• Gutzler's thesis: https://ir.library.oregonstate.edu/downloads/2r36v1962