Computation of solution regularized augmented normal systems of equation by lu-decomposition method

The article presents a comparative analysis of three approaches to the calculation of standard solutions for the Tikhonov regularization problem: Based on the normal system of equations, singular value decomposition and extended the normal system. Comparison is carried out in these classes of problem: joint defined systems with ill-conditioned matrix, systems in which the right-side vector is set with an inaccuracy and the system of deficient engine rank.