tensor_methods

Tensor Methods for DS and SC
git clone git://popovic.xyz/tensor_methods.git
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helpers.jl (569B)

      1 #/usr/bin/julia
      2 
      3 using LinearAlgebra
      4 using Plots
      5 using Plots.Measures
      6 using Distributions
      7 using LaTeXStrings
      8 using TSVD: tsvd
      9 using TensorToolbox: tenmat, ttm, contract # todo:implement
     10 
     11 @doc raw"""
     12     Helper functions to calculated the tensor values of the Chebyshev Polynomials \textit{che_pol}
     13     on a Grid \textit{t(n)}
     14 """
     15 
     16 t(n) = [2*(i-1)/(n-1)-1 for i ∈ 1:n]
     17 
     18 function che_pol(x, q)
     19     if abs(x) ≤ 1
     20         return cos(q*acos(x))
     21     elseif x ≥ 1
     22         return cosh(q*acosh(x))
     23     elseif x ≤ -1
     24         return (-1)^q * cosh(q*acosh(-x))
     25     end
     26 end