The package TensorDec.jl is for tensor decompositions.

Installation

To install the package within julia:

] add https://github.com/AlgebraicGeometricModeling/TensorDec.jl.git

Example

using TensorDec, DynamicPolynomials

X = @polyvar x0 x1 x2 
n = length(X)
d = 4
r = 4

# Symmetric tensor of degree d and rank r:
Xi = rand(n,r)
w = fill(1.0,r)
F = tensor(w,Xi,X,d)

k = 2
H = hankel(F,k)

P = perp(F,k)

decompose(F)

# Multilinear tensor
A = randn(3,2)
B = randn(3,2)
C = randn(3,2)
w = randn(2)

T = tensor(w,A,B,C)

w0, A0, B0, C0 = decompose(T)

T-tensor(w0,A0,B0,C0)

Documentation

See

Dependencies

• DynamicPolynomials
• MultivariatePolynomials