Tensor Toolbox provides functionalities for the decomposition of tensors in tensor-train format [1] and spectral tensor-train format [2].

The toolbox provides the following tools:

    TT-svd
    TT-cross
    TT-vectors
    TT-matrices
    Quatics TT-vectors/matrices
    TT-integration
    Basic operations in TT format
    Multi-linear algebra in TT format (Steepest descent, CG and GMRES)
    STT-construction
    STT-projection/interpolation
    STT for single quantities and for fields

[1] Oseledets, I. (2011). Tensor-train decomposition. SIAM Journal on Scientific Computing, 33(5), 2295–2317. Retrieved from http://epubs.siam.org/doi/pdf/10.1137/090752286

[2] Bigoni, D. and Marzouk, Y.M. and Engsig-Karup, A.P. (2014) Spectral tensor-train decomposition. http://arxiv.org/abs/1405.5713