METHOD FOR ESTIMATING NUMERICAL ADEQUACY OF DERIVATIVE INCREMENTS OF VARIABLES IN THE DAMPED LEAST-SQUARES AUTOMATIC LENS DESIGN PROBLEM

摘要

It is shown that an analytical approach for setting an adequate initial value of a damping factor in the damped least-squares optimization process can also be used to estimate whether the given increments of variables are adequate together with some numerical experiments. It is clarified that the value of a damping factor should almost equal the median of a series of eigenvalues of a squared Jacobian matrix, which is evaluated by use of given increments. [References: 5]