eye_minus_inv {CVXR} | R Documentation |

## Unity Resolvent

### Description

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.

### Usage

eye_minus_inv(X)

### Arguments

### Details

This atom is log-log convex.

### Value

An Expression representing the unity resolvent of the input.

### 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)

[Package

*CVXR* version 1.0-10

Index]