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It is proposed a process to formally linearise a constrained nonlinear susematic lens design problem formulated by the penalty function method, together with solutions given by the QR transformation method.
Kazuo Tanaka
"Linearization procedure of a nonlinear automatic lens design problem subject to boundary conditions", Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34884
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Kazuo Tanaka, "Linearization procedure of a nonlinear automatic lens design problem subject to boundary conditions," Proc. SPIE 1319, Optics in Complex Systems, (1 July 1990); https://doi.org/10.1117/12.34884