Translator Disclaimer
16 September 1980 Solution Of Block-Structured Least-Squares Problems
Author Affiliations +
Proceedings Volume 0237, 1980 International Lens Design Conference; (1980)
Event: 1980 International Lens Design Conference, 1980, Oakland, United States
The design of multi-configuration optical systems leads to the minimization of a merit function whose terms are most conveniently evaluated in groups. The Jacobian or difference matrix associated with these merit functions can be decomposed into blocks corresponding to these groups. The associated constrained least-squares problem can be solved without requiring that more than two or three blocks be in high-speed memory at one time. The algorithm described here is useful for lens-design programs running on mini-computers where high-speed memory is limited but medium-speed storage such as disc is available. An orthogonal factorization of the matrix is obtained so that rank-deficient problems can be handled in a consistent and numerically stable manner. This factorization can be used as an adjunct to a variety of least-squares type algorithms.
© (1980) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Charles R. Crawford "Solution Of Block-Structured Least-Squares Problems", Proc. SPIE 0237, 1980 International Lens Design Conference, (16 September 1980);


Freeform optical design of an XY-zoom beam expander
Proceedings of SPIE (April 26 2016)
Zoom lens aberration correction algorithm
Proceedings of SPIE (December 13 2001)
The Development Of A Compact Far Infra-Red Zoom Telescope
Proceedings of SPIE (January 28 1985)
Modeling of diffractive optical elements for lens design
Proceedings of SPIE (November 24 1993)
Generalized method for first-order lens layout
Proceedings of SPIE (September 26 1999)

Back to Top