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Conjugate gradient search direction uses the residual delta · case 04
Conjugate gradient search direction uses the residual delta.
Case contract
Return one CG direction vector given residual b-Ax, old direction and nonnegative beta; lengths agree.
Why this case matters
This deterministic solver-step model isolates an algorithmic invariant used by iterative optimization implementations.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| nonzero history | [4.0] | [12] | Failed |
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