Steffensen’s Method with Aitken’s Δ²

Discussion of Steffensen’s Method and Aitken’s Delta-Squared Method with their relation to Fixed Point Iteration including examples, convergence acceleration, order, and code. GitHub: Chapters 0:00 Intro 0:08 Aitken’s Δ² Method History 0:23 Derivation with Example 1:01 Aitken’s Δ² Method 1:21 Solve for r 2:16 Δ² Notation 2:39 Aitken’s Δ² Example 3:12 Steffensen’s Method History 3:40 Steffensen’s Methodology 4:05 Steffensen’s Method Example 4:43 Steffensen’s Method 2.0 4:55 One Method, Two Versions 6:30 Steffensen’s Method 2.0 Continued 6:55 Order 7:26 Summary 8:02 Thank You Further Watching: Fixed Point Iteration Fixed Point Iteration Q&A Wegstein’s Method Fixed Point Iteration Nonlinear Systems