Add eigh eigenvalue error check#156
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Summary
eighoutputs usingtorch.linalg.eigvalsh(A).A @ Q = Q @ diag(L), reconstruction, orthogonality, sorting, shapes, devices, and finiteness.Rationale
The residual invariants validate the returned decomposition, but they do not explicitly bound the returned eigenvalue spectrum. Eigenvalues do not have the sign/eigenspace ambiguity that eigenvectors do, so comparing
Lagainsteigvalsh(A)is a clean extra correctness gate.The new check uses a loose
n * eps32-scaled tolerance consistent with the existing residual checks, and scales the error by the larger of||eigvalsh(A)||_inf,||A||_1 / n, and1.0.Validation
/Users/mark/Dev/kernelbot/.venv/bin/ruff check problems/linalg/eigh_py/Users/mark/Dev/kernelbot/.venv/bin/python -m py_compile problems/linalg/eigh_py/*.py problems/linalg/eigh_py/submissions/*.pygit diff --checktask.yml:tests=39,benchmarks=13torch_eigh.pytest: 39/39 passed, evaluator duration 7.396striton_diagonal_fast_path.pytest: 39/39 passed, evaluator duration 7.470s