Аннотация:
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.
Ключевые слова:rank, kernel and image of a matrix, pseudoinverse matrix, singular value decomposition of a matrix, condition number of a matrix.