The Backus-Gilbert method
Andreas Kirsch, Bernd Schomburg, G. Berendt · Inverse Problems · 1988
The Backus-Gilbert method for linear moment problems is considered. Properties of the Backus-Gilbert inverse operator are derived. Results for convergence and order of convergence when the number of moment equations tends to infinity are proven. Special emphasis is put on the proper exponent in the weight function in order to get pointwise convergence and convergence with respect to the L 2 norm.