Browsing Faculty Works, Department of Mathematics by Subject "illposed problems"
Now showing items 12 of 2

A general convergence analysis of some Newtontype methods for nonlinear inverse problems
(Siam Publications, 2011)We consider the methods x(n+1)(delta)  x(n)(delta)  g(alpha n) (F'(x(n)(delta))* F'(x(n)(delta)))F'(x(n)(delta))*(F(x(n)(delta))  y(delta)) for solving nonlinear illposed inverse problems F(x) = y using the only available ... 
A regularized GaussNewton trust region approach to imaging in diffuse optical tomography
(Siam Publications, 2011)We present a new algorithm for the solution of nonlinear least squares problems arising from parameterized imaging problems with diffuse optical tomographic data [D. Boas et al., IEEE Signal Process. Mag., 18 (2001), pp. ...