CVXR (version 0.99-7)

norm1: 1-Norm

Description

\(\|x\|_1 = \sum_{i=1}^n |x_i|\).

Usage

norm1(x, axis = NA_real_)

Arguments

x

An '>Expression, vector, or matrix.

axis

(Optional) The dimension across which to apply the function: 1 indicates rows, 2 indicates columns, and NA indicates rows and columns. The default is NA.

Value

An '>Expression representing the 1-norm of the input.

Examples

# NOT RUN {
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])
# }