Gauss-Newton Algorithm for ODE Models

Determine p using the bisection rule and obtain k =k +pAk Continue until the maximum number of iterations is reached or conver- 

Compute statistical properties of parameter estimates (see Chapter 11). 

The above method is the well-known Gauss-Newton method for differential equation systems and it exhibits quadratic convergence to the optimum. Computational modifications to the above algorithm for the incorporation of prior knowledge about the parameters (Bayessian estimation) are discussed in detail in Chapter 8. 

---