A Quasi-Newton Method for Estimating the Parameter in a Nonlinear Hyperbolic System*

A quasi-Newton method QNM.in infinite-dimensional spaces for estimating parameters involved in distributed parameter systems is presented in this paper. Next, the global convergence of a sequence generated by the algorithm QNM is also proved. We apply the algorithm QNM to an identification problem of a distributed parameter system governed by a nonlinear hyperbolic partial differential equation.