Steffensen's Method

The video covering Steffensen's Method and Aitken's Delta Squared Method can be found here https://youtu.be/BTYTj0r5PZE

Example code is given in Steffensen.sml file, written in SML/NJ it has Aitken's Delta Squared Method and both versions of Steffensen's Method. You can run the program online from CodingGround. To run the program locally have SML/NJ installed smlnj.org then type sml Steffensen.smlin the terminal in the directory where Steffensen.sml is saved. If you'd rather not use the terminal use an IDE instead like Geany to run the program (change the execute option to sml %e.sml).

Reference links:

• Aitken's paper https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh/article/xxvon-bernoullis-numerical-solution-of-algebraic-equations/64D4A7C56F1EFEC696AF68D7870DB451
• Steffensen's paper https://www.tandfonline.com/doi/abs/10.1080/03461238.1933.10419209
• Version 2.0 https://www.sciencedirect.com/science/article/pii/S1110256X1300028X