Enhanced Approaches for Cluster Newton Method for Underdetermined Inverse Problems

Abstract

Along with many solutions for determining the inverse parameter in pharmacokinetics, with this work, we propose two improved approaches to the original cluster Newton method. Applying Tikhonov regularization for hyperplane fitting in the CN method is the first method, and the efficient iterative process for the CN method is the next. When using these proposed approaches, it has been demonstrated that numerical experiments of both approaches can bring benefits such as saving iterations, reduced computation time, and clustering of points. They also move more stably and asymptotically with the diversity of solutions.