Scalene Function

The elementwise weighted sum of the positive and negative portions of an expression, \(\alpha\max(x_i,0) - \beta\min(x_i,0)\). This is equivalent to alpha*pos(x) + beta*neg(x).

scalene(x, alpha, beta)

Arguments

x

An Expression, vector, or matrix.

alpha

The weight on the positive portion of x.

beta

The weight on othe negative portion of x.

Value

An Expression representing the scalene function evaluated at the input.

Examples

if (FALSE) {
A <- Variable(2,2)
val <- cbind(c(-5,2), c(-3,1))
prob <- Problem(Minimize(scalene(A,2,3)[1,1]), list(A == val))
result <- solve(prob)
result$value
result$getValue(scalene(A, 0.7, 0.3))
}