diff --git a/src/math/linearalgebra/support.jl b/src/math/linearalgebra/support.jl
index 102565a9..b1600b71 100644
--- a/src/math/linearalgebra/support.jl
+++ b/src/math/linearalgebra/support.jl
@@ -9,6 +9,8 @@ end
 end
 
 function norm(v::Array{DoubleFloat{T},N}, p::Real=2.0) where {N, T<:IEEEFloat}
+    isempty(v) && return zero(DoubleFloat{T})
+
     if isinf(p)
         return signbit(p) ? minimum(abs.(v)) : maximum(abs.(v))
     elseif p==2
@@ -21,6 +23,8 @@ function norm(v::Array{DoubleFloat{T},N}, p::Real=2.0) where {N, T<:IEEEFloat}
 end
 
 function norm(v::Array{Complex{DoubleFloat{T}},N}, p::Real=2.0) where {N, T<:IEEEFloat}
+    isempty(v) && return zero(DoubleFloat{T})
+
     if isinf(p)
         return signbit(p) ? minimum(abs.(real.(v))) : maximum(abs.(real.(v)))
     elseif p==2
diff --git a/test/linearalgebra.jl b/test/linearalgebra.jl
index 32b579ff..52157820 100644
--- a/test/linearalgebra.jl
+++ b/test/linearalgebra.jl
@@ -19,4 +19,15 @@
 
     @test norm(Double64[2, 1]) ≈ norm(Float64[2, 1])
     @test norm(Double64[2, 1], 3.0) ≈ norm(Float64[2, 1], 3.0)
+
+    # issue #105
+    for T in [Double16, Double32, Double64]
+        for p in [0, 1.0, 2.0, Inf, -Inf]
+            @test norm(T[], p) == zero(T)
+            @test norm(Complex{T}[], p) == zero(T)
+
+            @test normalize(T[]) == T[]
+            @test normalize(Complex{T}[]) == Complex{T}[]
+        end
+    end
 end