Inverse theory, linear

Abstract

This article presents salient aspects of linear inverse problems. The LS formulations and the Backus–Gilbert formulation are discussed in brief. The information density and parameter resolution matrices and their importance are discussed. Finally, the methods for finding the optimal multi-objective optimization parameter l are briefly mentioned. For more details on SVD one can refer to the article by A. Manglik, while for global optimization techniques for nonlinear inverse problems one can refer to the articles by M. K. Sen and by W. Sandham published in this series.