lambda_sum_smallest function

Sum of Smallest Eigenvalues

The sum of the smallest $k$ eigenvalues of a matrix. methods

lambda_sum_smallest(A, k)

Arguments

• A: An Expression or matrix.
• k: The number of eigenvalues to sum over.

Returns

An Expression representing the sum of the smallest k eigenvalues of the input.

Examples

C <- Variable(3,3)
val <- cbind(c(1,2,3), c(2,4,5), c(3,5,6))
prob <- Problem(Maximize(lambda_sum_smallest(C,2)), list(C == val))
result <- solve(prob)
result$value
result$getValue(C)