Regularized Least Square (Tikhonov regularization) and ordinary least square solution for a system of linear equation involving Hilbert matrix is computed using Singular value decomposition and are compared. Since Hilbert matrices are inherently ill-conditioned systems, the stability of regularization over the slightly perturbed system is demonstrated.
Sathyanarayan Rao (2020). Regularized Least Square: Tikhonov Regularization test for Hilbert matrix. (https://www.mathworks.com/matlabcentral/fileexchange/58736-regularized-least-square-tikhonov-regularization-test-for-hilbert-matrix), MATLAB Central File Exchange. Retrieved .