Harmonic Mean

The harmonic mean, \(\left(\frac{1}{n} \sum_{i=1}^n x_i^{-1}\right)^{-1}\). For a matrix, the function is applied over all entries.

harmonic_mean(x)

Arguments

x

An Expression, vector, or matrix.

Value

An Expression representing the harmonic mean of the input.

Examples

x <- Variable()
prob <- Problem(Maximize(harmonic_mean(x)), list(x >= 0, x <= 5))
result <- solve(prob)
result$value
#> [1] 5
result$getValue(x)
#> [1] 5