A non-linear inverse Lanchester square law problem in estimating the force-dependent attrition coefficients

A non-linear inverse Lanchester square law problem using the Conjugate Gradient Method (CGM) , i.e. the iterative regularization method, is examined in this study to estimate the unknown force-dependent attrition coefficients in a general reinforcement schedules by using the observed temporal force strengths. The numerical simulations are performed to test the validity of the present non-linear inverse algorithm by using different types of attrition coefficients. Results show that the advantages of applying the CGM in the inverse calculations lie in that (i) the initial guesses of the attrition coefficients can be chosen arbitrarily and (ii) the force-dependent attrition coefficients can be estimated in a very short computer time.