Add tests

test/tensors.jl

@@ -408,7 +408,18 @@ for V in spacelist
                         @test UdU ≈ one(UdU)
                         VVd = V * V'
                         @test VVd ≈ one(VVd)
-                        @test U * S * V ≈ permute(t, ((3, 4, 2), (1, 5)))
+                        t2 = permute(t, ((3, 4, 2), (1, 5)))
+                        @test U * S * V ≈ t2
+
+                        s = LinearAlgebra.svdvals(t2)
+                        s′ = LinearAlgebra.diag(S)
+                        if s isa TensorKit.SectorDict
+                            for (c, b) in s
+                                @test b ≈ s′[c]
+                            end
+                        else
+                            @test s ≈ s′
+                        end
                     end
                 end
                 @testset "empty tensor" begin
@@ -458,6 +469,16 @@ for V in spacelist
                     t2 = permute(t, ((1, 3), (2, 4)))
                     @test t2 * V ≈ V * D
 
+                    d = LinearAlgebra.eigvals(t2; sortby=nothing)
+                    d′ = LinearAlgebra.diag(D)
+                    if d isa TensorKit.SectorDict
+                        for (c, b) in d
+                            @test b ≈ d′[c]
+                        end
+                    else
+                        @test d ≈ d′
+                    end
+
                     # Somehow moving these test before the previous one gives rise to errors
                     # with T=Float32 on x86 platforms. Is this an OpenBLAS issue? 
                     VdV = V' * V