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Merge pull request 'docs: citation audit (8 mis-citations fixed) + Phases 12/13' (#28) from docs/citation-audit-phases-12-13 into main
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Reviewed-on: #28
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user2595
2026-05-30 08:06:33 +00:00
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CLAUDE.md
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@@ -156,7 +156,7 @@ Hessian sign and solver per model:
- **Spherical:** H is NSD (concave energy) → `SimplicialLDLT(−H)` (sign flip inside `newton_spherical`).
- **HyperIdeal:** H is PSD (strictly convex) → `SimplicialLDLT(H)`. Phase 9b uses a **block-FD Hessian** (per-face 6×6 local block, ~96× speed-up vs full FD on V=200). Full analytic Hessian via the chain `(bᵢ, aₑ) → lᵢⱼ → ζ₁₃/ζ₁₄/ζ₁₅ → αᵢⱼ/βᵢ` is planned research — see `doc/roadmap/research-track.md` Phase 9b-analytic.
- **CP-Euclidean:** analytic 2×2-per-edge `h_jk = sin θ / (cosh Δρ − cos θ)` (BPS 2010), strictly convex → `SimplicialLDLT(H)`.
- **Inversive-Distance:** FD Hessian (inline in `newton_inversive_distance`). Analytic via Glickenstein 2011 eq. (4.6) is planned research (Phase 9a.2-analytic).
- **Inversive-Distance:** FD Hessian (inline in `newton_inversive_distance`). Analytic via Glickenstein 2011 §5.2 is planned research (Phase 9a.2-analytic).
When `SimplicialLDLT` fails (rank-deficient H — gauge mode on a closed mesh without pinned vertex/face), the solver automatically retries with `Eigen::SparseQR` to find the minimum-norm step orthogonal to the null space. Public API: `solve_linear_system(H, rhs, &used_fallback)`.