MATH221 · Annotated SlidesChapter 2 — Accelerating Convergence

Chapter 2 · Annotated slides

Accelerating Convergence

Aitken's Δ² method and Steffensen's method for accelerating linearly convergent sequences.

23 slides
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Aitken's Δ²: p̂ₙ = pₙ − (pₙ₊₁ − pₙ)² / (pₙ₊₂ − 2pₙ₊₁ + pₙ).

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Steffensen: apply Aitken to fixed-point iterates every third step: quadratic convergence without derivatives.

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MCQ

Steffensen's method accelerates:

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Slide 22: Steffensen’s Method

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