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Fix issymmetric for matrices with empty columns #606

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10 changes: 8 additions & 2 deletions src/sparsematrix.jl
Original file line number Diff line number Diff line change
Expand Up @@ -4074,9 +4074,9 @@ function _blockdiag(::Type{Tv}, ::Type{Ti}, X::AbstractSparseMatrixCSC...) where
end

## Structure query functions
issymmetric(A::AbstractSparseMatrixCSC) = is_hermsym(A, identity)
issymmetric(A::AbstractSparseMatrixCSC) = is_hermsym(A, transpose)

ishermitian(A::AbstractSparseMatrixCSC) = is_hermsym(A, conj)
ishermitian(A::AbstractSparseMatrixCSC) = is_hermsym(A, adjoint)

function is_hermsym(A::AbstractSparseMatrixCSC, check::Function)
m, n = size(A)
Expand Down Expand Up @@ -4112,6 +4112,12 @@ function is_hermsym(A::AbstractSparseMatrixCSC, check::Function)
return false
end
else
# if nzrange(A, row) is empty, then A[:, row] is all zeros.
# Specifically, A[col, row] is zero.
# However, we know at this point that A[row, col] is not zero
# This means that the matrix is not symmetric
isempty(nzrange(A, row)) && return false

offset = tracker[row]

# If the matrix is unsymmetric, there might not exist
Expand Down
21 changes: 21 additions & 0 deletions test/linalg.jl
Original file line number Diff line number Diff line change
Expand Up @@ -425,6 +425,27 @@ end
@test issymmetric(sparse([1 0; 1 0])) == false
@test issymmetric(sparse([0 1; 1 0])) == true
@test issymmetric(sparse([1 1; 1 0])) == true

# test some non-trivial cases
local S
@testset "random matrices" begin
for sparsity in (0.1, 0.01, 0.0)
S = sparse(Symmetric(sprand(20, 20, sparsity)))
@test issymmetric(S)
@test ishermitian(S)
S = sparse(Symmetric(sprand(ComplexF64, 20, 20, sparsity)))
@test issymmetric(S)
@test !ishermitian(S) || isreal(S)
S = sparse(Hermitian(sprand(ComplexF64, 20, 20, sparsity)))
@test ishermitian(S)
@test !issymmetric(S) || isreal(S)
end
end

@testset "issue #605" begin
S = sparse([2, 3, 1], [1, 1, 3], [1, 1, 1], 3, 3)
@test !issymmetric(S)
end
end

@testset "rotations" begin
Expand Down
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