fixes

Author: dkarrasch

src/LinearMaps.jl

@@ -223,11 +223,11 @@ julia> C
  730.0  740.0
 ```
 """
-function mul!(y::AbstractVecOrMat, A::LinearMap, x::AbstractVector, α, β)
+function mul!(y::AbstractVecOrMat, A::LinearMap, x::AbstractVector, α::Number, β::Number)
     check_dim_mul(y, A, x)
     return _unsafe_mul!(y, A, x, α, β)
 end
-function mul!(Y::AbstractMatrix, A::LinearMap, X::AbstractMatrix, α, β)
+function mul!(Y::AbstractMatrix, A::LinearMap, X::AbstractMatrix, α::Number, β::Number)
     check_dim_mul(Y, A, X)
     return _unsafe_mul!(Y, A, X, α, β)
 end

src/fillmap.jl

@@ -21,7 +21,7 @@ Base.size(A::FillMap) = A.size
 MulStyle(A::FillMap) = FiveArg()
 LinearAlgebra.issymmetric(A::FillMap) = A.size[1] == A.size[2]
 LinearAlgebra.ishermitian(A::FillMap) = isreal(A.λ) && A.size[1] == A.size[2]
-LinearAlgebra.isposdef(A::FillMap) = (LinearAlgebra.checksquare(A) == 1 && isposdef(A.λ))
+LinearAlgebra.isposdef(A::FillMap) = (size(A, 1) == size(A, 2) == 1 && isposdef(A.λ))
 Base.:(==)(A::FillMap, B::FillMap) = A.λ == B.λ && A.size == B.size
 
 LinearAlgebra.adjoint(A::FillMap) = FillMap(adjoint(A.λ), reverse(A.size))

test/fillmap.jl

@@ -16,6 +16,9 @@ using LinearMaps, LinearAlgebra, Test
         @test size(L) == (M, N)
         @test adjoint(L) == FillMap(adjoint(λ), (3,2))
         @test transpose(L) == FillMap(λ, (3,2))
+        @test !issymmetric(L)
+        @test !ishermitian(L)
+        @test !isposdef(L)
         @test Matrix(L) == A == mul!(copy(A), L, 1) == mul!(copy(A), L, 1, true, false)
         @test mul!(copy(1A), L, 2, true, true) == 3A
         @test L * x ≈ A * x