The quadratic form, \(x^TPx\).
quad_form(x, P)
An Expression or vector.
An Expression or matrix.
An Expression representing the quadratic form evaluated at the input.
x <- Variable(2)
P <- rbind(c(4,0), c(0,9))
prob <- Problem(Minimize(quad_form(x,P)), list(x >= 1))
result <- solve(prob)
result$value
#> [1] 13
result$getValue(x)
#> [,1]
#> [1,] 1
#> [2,] 1
A <- Variable(2,2)
c <- c(1,2)
prob <- Problem(Minimize(quad_form(c,A)), list(A >= 1))
result <- solve(prob)
result$value
#> [1] 9
result$getValue(A)
#> [,1] [,2]
#> [1,] 1 1
#> [2,] 1 1