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.

published proceedings

  • APPLIED MATHEMATICS AND COMPUTATION

altmetric score

  • 0.5

author list (cited authors)

  • Arnas, D., & Mortari, D.

citation count

  • 7

complete list of authors

  • Arnas, David||Mortari, Daniele

publication date

  • January 1, 2018 11:11 AM