add ldiv!(dense<dual>, sparse<float>, dense<dual>)

Author: alyst

src/dual.jl

@@ -852,8 +852,10 @@ for MT in (StridedMatrix{<:LinearAlgebra.BlasFloat},
            SparseMatrixCSC{<:LinearAlgebra.BlasFloat}
            )
 
-    @eval Base.:\(m::$MT, x::StridedMatrix{<:Dual}) =
-        _map_dual_components!((y, x) -> ldiv!(y, m, x), (y, x, _) -> ldiv!(y, m, x), similar(x), x)
+    @eval LinearAlgebra.ldiv!(y::StridedMatrix{T}, m::$MT, x::StridedMatrix{T}) where T <: Dual =
+        _map_dual_components!((y, x) -> ldiv!(y, m, x), (y, x, _) -> ldiv!(y, m, x), y, x)
+
+    @eval Base.:\(m::$MT, x::StridedMatrix{<:Dual}) = ldiv!(similar(x), m, x)
 
     @eval LinearAlgebra.mul!(C::StridedVector{T}, A::$MT, B::StridedVector{T}) where T <: Dual =
         (mul!(reinterpret(reshape, valtype(T), C), reinterpret(reshape, valtype(T), B), A'); C)