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8 January 1987 Speed And Convergence Of Bimodal Optical Computers
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Proceedings Volume 0700, 1986 Intl Optical Computing Conf; (1987) https://doi.org/10.1117/12.936946
Event: 1986 International Computing Conference, 1986, Jerusalem, Israel
Abstract
A Bimodal Optical Computer (BOC) is presented. The speed and accuracy of the BOC are studied and compared with that of the digital computer. Accuracies comparable to that of the digital computer are achievable, while BOC speed is far more superior in solving a system of linear equations. This advantage in speed increases with the increase of the size of the matrix. The problem of the convergence of the solution using the BOC is investigated. It is found that even with using electro-optical systems with an error as high as 50% in the optical mask and 1% in the electro-optical devices, convergence was achieved for matrices with condition numbers of 25. The effect of the condition number on the convergence of the solution is investigated. It is found that matrices with large condition numbers converge very slowly. Convergence for matrices with condition numbers of higher than 250 was achieved. Some means of improving the condition number of matrix are also introduced.
© (1987) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
H. John Caulfield and Mustafa A. G. "Speed And Convergence Of Bimodal Optical Computers", Proc. SPIE 0700, 1986 Intl Optical Computing Conf, (8 January 1987); https://doi.org/10.1117/12.936946
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