A reverse sweep of local 3x3 adjoint solves gives machine-precision gradients through the exact finite-depth Vertex Block Descent solver without forming any global system.
I INVERSE-PROBLEM TASKS IN DETAIL These are the per-task descriptions for §6.5; the headline numbers are Table 4 in the main text, and the reproduction protocols are Appendix J
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Differentiate the Solver, Not the Equation: Reverse-Sweep Adjoints for Block Implicit Simulation
A reverse sweep of local 3x3 adjoint solves gives machine-precision gradients through the exact finite-depth Vertex Block Descent solver without forming any global system.