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Aitken's Δ² Method Formula and Spreadsheet Implementation (Steffensen's Method Too)

Bill Kinney

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Aitken's Δ² Method Formula and Spreadsheet Implementation (Steffensen's Method Too)

4 099 просмотров · 3 г. назад
Bill Kinney
39,6 тыс. подписчиков
4 099 просмотров · 3 г. назад
The forward difference operator Δ and its "square" Δ² can be used to define Aitken's Delta-Squared Method (Process). This is a method for accelerating convergence of numerical approximation schemes, such as Newton's Method or function iteration. It can be implemented in an Excel spreadsheet. Steffensen's Method plays off of Aitken's Δ² Method and is harder, but can be done in an Excel spreadsheet as well. Burden, Faires, Burden "Numerical Analysis": https://amzn.to/3DBvCWn Numerical Analysis, Class 9C #AitkensMethod #NumericalAnalysis #NumericalMethods #NumericalMethod Links and resources =============================== 🔴 Subscribe to Bill Kinney Math: https://www.youtube.com/user/billkinn... 🔴 Subscribe to my Math Blog, Infinity is Really Big: https://infinityisreallybig.com/ 🔴 Follow me on Twitter:   / billkinneymath   🔴 Follow me on Instagram:   / billkinneymath   🔴 You can support me by buying "Infinite Powers, How Calculus Reveals the Secrets of the Universe", by Steven Strogatz, or anything else you want to buy, starting from this link: https://amzn.to/3eXEmuA. 🔴 Check out my artist son Tyler Kinney's website: https://www.tylertkinney.co/ 🔴 Desiring God website: https://www.desiringgod.org/ AMAZON ASSOCIATE As an Amazon Associate I earn from qualifying purchases.