Method for estimating numerical adequacy of derivative increments of variables in the damped least-squares automatic lens design problem
Applied Optics, Vol. 34, Issue 4, pp. 642-647 (1995)
http://dx.doi.org/10.1364/AO.34.000642
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Abstract
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.
© 1995 Optical Society of America
Citation
Hiroshi Matsui and Kazuo Tanaka, "Method for estimating numerical adequacy of derivative increments of variables in the damped least-squares automatic lens design problem," Appl. Opt. 34, 642-647 (1995)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-34-4-642
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