NewtSafe

The video covering the Newton Bisection Hybrid (Newt-Safe) can be found here https://youtu.be/FD3BPTMGJds

Example code is given in NewtSafe.adb file, written in Ada. You can run the program via CodingGround. To run the program locally have Ada installed MinGW.org then type gnatmake NewtSafe.adb in the terminal in the directory where Newt is saved then type newtsafe to run. If you'd rather not use the terminal use an IDE instead like Geany to build and run the program.

Reference links:

• Marc Spiegelman https://www.ldeo.columbia.edu/~mspieg/e4300/BlankPDFs/Lecture06_blank.pdf
• rtsafe from Numerical Recipes http://numerical.recipes/
• Numerical Methods That Work by Forman S. Acton https://books.google.com/books?id=cGnSMGSE5Y4C&lpg=PA41&pg=PA51#v=onepage&q&f=false