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Define factorize(Adjoint) to make e.g. inv(Adjoint) work (in most cases) #26302

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Mar 7, 2018
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Define factorize(Adjoint) to make e.g. inv(Adjoint) work (in most cases) #26302

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2 changes: 2 additions & 0 deletions stdlib/LinearAlgebra/src/dense.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -1222,6 +1222,8 @@ function factorize(A::StridedMatrix{T}) where T
end
qrfact(A, Val(true))
end
factorize(A::Adjoint) = adjoint(factorize(parent(A)))
factorize(A::Transpose) = transpose(factorize(parent(A)))

## Moore-Penrose pseudoinverse

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15 changes: 15 additions & 0 deletions stdlib/LinearAlgebra/test/dense.jl
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Expand Up @@ -847,4 +847,19 @@ end
end
end

@testset "inverse of Adjoint" begin
A = randn(n, n)

@test inv(A')*A' ≈ I
@test inv(transpose(A))*transpose(A) ≈ I

B = complex.(A, randn(n, n))
B = B + transpose(B)

# The following two cases fail because ldiv!(F::Adjoint/Transpose{BunchKaufman},b)
# isn't implemented yet
@test_broken inv(B')*B' ≈ I
@test_broken inv(transpose(B))*transpose(B) ≈ I
end

end # module TestDense