Optical Singular Value Decomposition For The Ax = b Problem

John Gruninger; H. J. Caulfield

doi:10.1117/12.936149

15 April 1983 Optical Singular Value Decomposition For The Ax = b Problem

John Gruninger, H. J. Caulfield

Proceedings Volume 0422, 10th Intl Optical Computing Conf; (1983) https://doi.org/10.1117/12.936149
Event: 10th International Optical Computing Conference, 1983, Cambridge, United States

Abstract

Optical approaches to solving the Ax = b problem have suffered from four difficulties: (1) an inability to handle the problem for nonsquare A, (2) the necessity of insuring convergence for nonsingular A, (3) the inability to handle a singular A, and (4) inaccuracies due to an ill conditioned A. We show that these problems can all be solved or mitigated by singular value decomposition (SVD). An accurate approach to optical SVD is shown.

Citation Download Citation

John Gruninger and H. J. Caulfield "Optical Singular Value Decomposition For The Ax = b Problem", Proc. SPIE 0422, 10th Intl Optical Computing Conf, (15 April 1983); https://doi.org/10.1117/12.936149

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