Nonlinear function inversion using k-vector Academic Article uri icon

abstract

  • © 2017 Elsevier Inc. This work introduces a general numerical technique to invert one dimensional analytic or tabulated nonlinear functions in assigned ranges of interest. The proposed approach is based on an “optimal” version of the k-vector range searching, an ad-hoc modification devised for function inversion. The optimality consists of retrieving always the same number of data (1,2,⋯) for a specified searching range to initiate the root solver. This provides flexibility to adapt the technique to a variety of root solvers (e.g., bisection, Newton, etc.), using a specified number of starting points. The proposed method allows to build an inverse function toolbox for a set of specified nonlinear functions. In particular, the method is suitable when intensive inversions of the same function are required. The inversion is extremely fast (almost instantaneous), but it requires a one-time preprocessing effort.

altmetric score

  • 0.75

author list (cited authors)

  • Arnas, D., & Mortari, D.

citation count

  • 3

publication date

  • March 2018