Sensitivity analysis of nonnegative irreducible matrices Original Research Article

We develop a method based on the additive perturbation of a nonnegative irreducible matrix to analyze its sensitivity. Bounds for the norm of the difference between the perturbed right eigenvector and the initial one, and bounds for the difference between the perturbed principal eigenvalue and the initial one are obtained without any additional assumption on the nonnegative irreducible matrix.