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TensorValues provides the types VectorValue (a 1-st order tensor), TensorValue (a 2-nd order tensor) and MultiValue (a generalization of VectorValue and TensorValue) and common tensor operations defined on these types (e.g., dot product, inner product, outer product, etc.)
The main feature of the TensorValues package is that the provided types do not extend from AbstractArray, but from Number!
This allows one to work with them as if they were scalar values in broadcasted operations on arrays of VectorValue objects (also for TensorValue or MultiValue objects). For instance, one can perform the following manipulations:
# Assing a VectorValue to all the entries of an Array of VectorValues
A = zeros(VectorValue{2,Int}, (4,5))
v = VectorValue(12,31)
A .= v # This is posible since VectorValue <: Number
# Broatcasing of tensor operations in arrays of TensorValues
t = TensorValue(13,41,53,17) # creates a 2x2 TensorValue
g = TensorValue(32,41,3,14) # creates another 2x2 TensorValue
B = fill(t,(1,5))
C = inner.(g,B) # inner product of g against all TensorValues in the array B
@show C
# C = [2494 2494 2494 2494 2494]Pkg.add("TensorValues")