Optical Linear Algebra

David Casasent; Anjan Ghosh

doi:10.1117/12.935005

23 December 1983 Optical Linear Algebra

David Casasent, Anjan Ghosh

Proceedings Volume 0388, Advances in Optical Information Processing I; (1983) https://doi.org/10.1117/12.935005
Event: 1983 Los Angeles Technical Symposium, 1983, Los Angeles, United States

Abstract

Many of the linear algebra operations and algorithms possible on optical matrix-vector processors are reviewed. Emphasis is given to the use of direct solutions and their realization on systolic optical processors. As an example, implicit and explicit solutions to partial differential equations are considered. The matrix-decomposition required is found to be the major operation recommended for optical realization (since digital systems can easily solve the simplified matrix-vector problem that results). The pipelining and flow of data and operations are noted to be key issues in the realization of any algorithm on an optical systolic array processor. A realization of the direct solution by Householder OR decomposition is provided as a specific case study.

Citation Download Citation

David Casasent and Anjan Ghosh "Optical Linear Algebra", Proc. SPIE 0388, Advances in Optical Information Processing I, (23 December 1983); https://doi.org/10.1117/12.935005

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