This paper deals with linear ill-posed problems relating to Hilbert Systems using comparisons of methods (Matlab Backslash, SVD, GMRES, QR, and PCG) including their regularizations. Hilbert systems of varying sizes were investigated and several results on these methods were presented in tabular form based on error and relative error norm. From our numerical results ran on Matlab version 7.01 only QR regularization method is recommended for the solution of Hilbert linear system.
"On Regularisation and Comparison of Methods for Solving Hilbert Linear Systems." J. Phys. Math. 7 (2) 1 - 3, 2016. https://doi.org/10.4172/2090-0902.1000173