Integral and Direct Representations of Nonlinear Inverse Mapping
In this paper we shall give practical, numerical and explicit representations of inverse mappings of n-dimensional mappings (of the solutions of n-nonlinear simultaneous equations) and show their numerical experiments by using computers. We derive those concrete formulas from very general ideas for the representation of the inverse functions.
Yusaku Fuji and Koichi Maru
T. Matsuura and S. Saitoh, "Integral and Direct Representations of Nonlinear Inverse Mapping", Applied Mechanics and Materials, Vol. 36, pp. 476-484, 2010