eye_minus_inv function

Unity Resolvent

The unity resolvent of a positive matrix. For an elementwise positive matrix $X$, this atom represents $(I - X)^{-1}$, and it enforces the constraint that the spectral radius of $X$ is at most 1. methods

eye_minus_inv(X)

Arguments

• X: An Expression or positive square matrix.

Returns

An Expression representing the unity resolvent of the input.

Details

This atom is log-log convex.

Examples

A <- Variable(2,2, pos = TRUE)
prob <- Problem(Minimize(matrix_trace(A)), list(eye_minus_inv(A) <=1))
result <- solve(prob, gp = TRUE)
result$value
result$getValue(A)