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Proceedings Paper

Optical Linear Algebra
Author(s): David Casasent; Anjan Ghosh
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Paper 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.

Paper Details

Date Published: 23 December 1983
PDF: 8 pages
Proc. SPIE 0388, Advances in Optical Information Processing I, (23 December 1983); doi: 10.1117/12.935005
Show Author Affiliations
David Casasent, Carnegie-Mellon University (United States)
Anjan Ghosh, Carnegie-Mellon University (United States)

Published in SPIE Proceedings Vol. 0388:
Advances in Optical Information Processing I
G. Michael Morris, Editor(s)

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