1-Norm
\|x\|_1 = ∑_{i=1}^n |x_i|.
norm1(x, axis = NA_real_, keepdims = FALSE)
x |
An Expression, vector, or matrix. |
axis |
(Optional) The dimension across which to apply the function: |
keepdims |
(Optional) Should dimensions be maintained when applying the atom along an axis? If |
An Expression representing the 1-norm of the input.
a <- Variable() prob <- Problem(Minimize(norm1(a)), list(a <= -2)) result <- solve(prob) result$value result$getValue(a) prob <- Problem(Maximize(-norm1(a)), list(a <= -2)) result <- solve(prob) result$value result$getValue(a) x <- Variable(2) z <- Variable(2) prob <- Problem(Minimize(norm1(x - z) + 5), list(x >= c(2,3), z <= c(-1,-4))) result <- solve(prob) result$value result$getValue(x[1] - z[1])
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