Stable Neo-Hookean for VBD: Deriving the Per-Vertex Hessian

This post derives the per-vertex 3×3 Hessian block for the stable Neo-Hookean tet material under VBD-style block Gauss-Seidel, and shows how it lands as an unconditionally PSD expression with no clamp or eigenvalue projection required. The derivation is short but the algebraic cancellation it relies on is easy to miss, so it is worth writing out in full. The post is meant as a reference for anyone…