Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Optical linear-algebra-processing algorithm based on stationary-point search

Not Accessible

Your library or personal account may give you access

Abstract

We propose an iterative parallel solution algorithm for solving linear algebraic equations that is suitable for optical processing. This method is based on stationary-point search in particle motion and is applicable to any linear algebraic equation. By using central differences, we formulate the stationary-point-search algorithm in an iterative parallel form including the two parameters of artificial viscosity and time step, and the optimum values of these parameters are derived from a characteristic equation. Even though an ill-conditioned positive definite matrix is used instead of the original matrix in order to make the algorithm applicable to any matrix, the convergence property of this algorithm depends on the condition number of the original matrix. Computer simulations show that this method can be optimized by varying the parameters adaptively at every iteration, and we derive an adaptive stationary-point-search algorithm.

© 1989 Optical Society of America

Full Article  |  PDF Article
More Like This
Performance analysis of matrix preconditioning algorithms on parallel optical processors

Anjan Ghosh and Palacharla Paparao
J. Opt. Soc. Am. A 5(1) 39-48 (1988)

Matrix preconditioning: a robust operation for optical linear algebra processors

Anjan Ghosh and Palacharla Paparao
Appl. Opt. 26(14) 2734-2737 (1987)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (24)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved