A Practical Examination -of Some Numerical Methods for Linear Discrete Ill-Posed Problems

Four well-known methods for the numerical solution of linear discrete ill-posed problems are investigated from a common point of view: namely, the type of algebraic expansion generated for the solution in each method. A sensitivity analysis of each method is made, and numerical results given for some particular problems. These results are interpreted from this algebraic point of view, and some anomalies explained.