Method for estimating numerical adequacy of derivative increments of variables in the damped least-squares automatic lens design problem

Details Method for estimating numerical adequacy of derivative increments of variables in the damped least-squares automatic lens design problem Method for estimating numerical adequacy of derivative increments of variables in the damped least-squares automatic lens design problem

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995apopt..34..642m&link_type=abstract

Applied Optics, Volume 34, Issue 4, February 1, 1995, pp.642-647

Physics

Optics

1

Optical Design, Lenses, Aspherics

Scientific paper

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.

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