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Add a deterministic minres test for the eps stopping criterion #3105

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Add a deterministic minres test for the eps stopping criterion #3105

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11 changes: 11 additions & 0 deletions dpnp/tests/test_scipy_sparse_linalg.py
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Original file line number Diff line number Diff line change
Expand Up @@ -1303,6 +1303,17 @@ def test_minres_x0_exact_solution(self):
_, info = minres(ia, ib, x0=x_true, rtol=1e-12)
assert info == 0

@pytest.mark.skipif(not has_support_aspect64(), reason="fp64 is required")
def test_minres_x0_null_space(self):
# Large x0 in null(A) with a tiny b: ||A||*||x||*eps >= ||r0||
# by ~2**27, so the eps stopping test (istop=3) is always hit
ia = dpnp.array([[1.0, 0.0], [0.0, 0.0]])
ib = dpnp.full(2, 2.0**-40)
x0 = dpnp.array([0.0, 2.0**40])
x, info = minres(ia, ib, x0=x0)
assert info == 0
assert_allclose(x.asnumpy(), [2.0**-40, 2.0**40])

@pytest.mark.skipif(not has_support_aspect64(), reason="fp64 is required")
def test_minres_errors(self):
# Mirrors test_cg_errors / test_gmres_errors. minres does not
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