Ionospheric tomography systems exhibit very poor vertical resolution. A priori information must be used in the reconstruction process to obtain a useful reconstruction. Even with a priori information, the reconstruction problem is extremely numerically ill-conditioned. RCM is a fast and stable iterative method of solving the reconstruction problem.
The convergence of RCM depends on the spectral radius of the error propagation matrix. This is a parameter that can be checked before starting the algorithm to insure convergence.
The performance of the new algorithm has been demonstrated using simulated data from a test case generated by the IRI90 ionospheric model.
Acknowledgments. This material is based upon work supported by the National Science Foundation under grant ATM-9211708 and grant ATM-9419552.