Mixed Norm
l_{p,q}(x) = ≤ft(∑_{i=1}^n (∑_{j=1}^m |x_{i,j}|)^{q/p}\right)^{1/q}.
mixed_norm(X, p = 2, q = 1)
X |
An Expression, vector, or matrix. |
p |
The type of inner norm. |
q |
The type of outer norm. |
An Expression representing the l_{p,q} norm of the input.
A <- Variable(2,2) val <- cbind(c(3,3), c(4,4)) prob <- Problem(Minimize(mixed_norm(A,2,1)), list(A == val)) result <- solve(prob) result$value result$getValue(A) val <- cbind(c(1,4), c(5,6)) prob <- Problem(Minimize(mixed_norm(A,1,Inf)), list(A == val)) result <- solve(prob) result$value result$getValue(A)
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