Modification of the Quasilinearization Method for the Inverse Problem

We propose a new modification of Bellman's quasilinearization method such that at any iteration step, it works with an approximate solution of the original nonlinear system and with new approximation of parameters α(k+1) which are close enough to the previous ones. As an output, this approachprovides a construction of a convergent sequence of parameters where the limit isthe best approximation of parameters of a given system. We apply this method toa mathematical model describing BSP-kinetics in the human liver