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Fix generic triangular solves with empty matrices #54201

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Apr 23, 2024
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Fix generic triangular solves with empty matrices #54201

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2 changes: 2 additions & 0 deletions stdlib/LinearAlgebra/src/triangular.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -1296,6 +1296,7 @@ function generic_trimatdiv!(C::AbstractVecOrMat, uploc, isunitc, tfun::Function,
if size(C) != size(B)
throw(DimensionMismatch(lazy"size of output, $(size(C)), does not match size of right hand side, $(size(B))"))
end
iszero(mA) && return C
oA = oneunit(eltype(A))
@inbounds if uploc == 'U'
if isunitc == 'N'
Expand Down Expand Up @@ -1432,6 +1433,7 @@ function generic_trimatdiv!(C::AbstractVecOrMat, uploc, isunitc, ::Function, xA:
if size(C) != size(B)
throw(DimensionMismatch(lazy"size of output, $(size(C)), does not match size of right hand side, $(size(B))"))
end
iszero(mA) && return C
oA = oneunit(eltype(A))
@inbounds if uploc == 'U'
if isunitc == 'N'
Expand Down
13 changes: 13 additions & 0 deletions stdlib/LinearAlgebra/test/lu.jl
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Expand Up @@ -486,4 +486,17 @@ end
LinearAlgebra.generic_lufact!(fill(Inf, 2, 2), check=false)
end

@testset "lu for empty matrices" begin
for T in (Float64, BigFloat)
A = fill(T(0.0), 0, 0)
v = fill(T(1.0), 0, 10)
@test A \ v ≈ lu(A) \ v
vt = permutedims(v)
@test vt / A ≈ vt / lu(A)
B = UpperTriangular(transpose(fill(complex(T(0.0)), 0, 0)'))
@test B \ v ≈ v
@test vt / B ≈ vt
end
end

end # module TestLU