Hermite Interpolation
Hermite interpolation: matching both function values and derivatives, built with repeated nodes in a divided-difference table.
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Slide 1
Notes
Hermite polynomial agrees with f AND f′ at the nodes; degree ≤ 2n + 1. Use the divided-difference table with each node listed twice and f[zᵢ, zᵢ₊₁] = f′(xᵢ) where they repeat.