Infinity-Norm
\|x\|_{∞} = \max_{i=1,…,n} |x_i|.
norm_inf(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 infinity-norm of the input.
a <- Variable() b <- Variable() c <- Variable() prob <- Problem(Minimize(norm_inf(a)), list(a >= 2)) result <- solve(prob) result$value result$getValue(a) prob <- Problem(Minimize(3*norm_inf(a + 2*b) + c), list(a >= 2, b <= -1, c == 3)) result <- solve(prob) result$value result$getValue(a + 2*b) result$getValue(c) prob <- Problem(Maximize(-norm_inf(a)), list(a <= -2)) result <- solve(prob) result$value result$getValue(a) x <- Variable(2) z <- Variable(2) prob <- Problem(Minimize(norm_inf(x - z) + 5), list(x >= c(2,3), z <= c(-1,-4))) result <- solve(prob) result$value result$getValue(x[1] - z[1])
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