ElementarySymmetricFunctions

esf_sum(x)

Compute the elementary symmetric functions of order k = 1, ..., n where n = length(x)

Examples

julia> esf_sum([3.5118, .6219, .2905, .8450, 1.8648])
6-element Array{Float64,1}:
  1.0
  7.134
 16.9493
 16.7781
  7.05289
 0.999736

esf_sum_reg(x)

Compute the elementary symmetric functions of order k = 1, ..., n where n = length(x). Values are computed regularized by the binomial coefficient binomial(n, k) to prevent over/under-flow.

Examples

julia> esf_sum_reg([3.5118, .6219, .2905, .8450, 1.8648])
6-element Array{Float64,1}:
  1.0
  1.4268
  1.69493
  1.67781
  1.41058
  0.999736