On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems
J. M. Varah · SIAM Journal on Numerical Analysis · 1973
We consider the solution of ill-conditioned linear systems using the singular value decomposition, and show how this can improve the accuracy of the computed solution for certain kinds of right-hand sides. Then we indicate how this technique is especially appropriate for some classical ill-posed problems of mathematical physics.