Calculation record
Full centered averaged-energy Hessian for the curvature-moment rule.
Only adjacent polynomial orders contribute to the nonlinear trace's
mixed entries. The first spectral derivatives contribute a dense Gram
matrix and are retained separately.
Research context
- A bounded curvature-moment carrier with positive averaged shape stiffness
The rule h=zB/2 removes an independent spatial function, preserves the simplex numerator and grouped response, and gives a positive complete centered Hessian for the balanced averaged multiplet across all maintained depths.
Interpret numerical checks within the assumptions and limitations documented in these notes.