On the closeness of the incompatibility criteria for the original and perturbed systems of equations

The article considers the question of the influence of perturbations introduced into the matrix and the right side of a system of linear algebraic equations of a general form on the value of its inconsistency criterion. In this paper, due to the use of a pseudoinverse matrix, a new, more accurate estimate of the proximity of the incompatibility criteria for the original and perturbed systems is established.