Applying the ${\chi }^2$ Regularization Parameter Estimator by Downsampling Through Relations with The Singular Value Expansion

Rosemary A. Renaut, Michael Horst, Yang Wang +2

The solution, $x$, of the linear system of equations $Ax\approx b$ arising from the discretization of an ill-posed integral equation with a square integrable kernel $H(s,t)$ is co…