Memristive Linear Algebra

Fuente: arXiv
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Autores principales: Lin, Jonathan, Barrows, Frank, Caravelli, Francesco
Formato: Preprint
Publicado: 2024
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author Lin, Jonathan
Barrows, Frank
Caravelli, Francesco
author_facet Lin, Jonathan
Barrows, Frank
Caravelli, Francesco
contents The advent of memristive devices offers a promising avenue for efficient and scalable analog computing, particularly for linear algebra operations essential in various scientific and engineering applications. This paper investigates the potential of memristive crossbars in implementing matrix inversion algorithms. We explore both static and dynamic approaches, emphasizing the advantages of analog and in-memory computing for matrix operations beyond multiplication. Our results demonstrate that memristive arrays can significantly reduce computational complexity and power consumption compared to traditional digital methods for certain matrix tasks. Furthermore, we address the challenges of device variability, precision, and scalability, providing insights into the practical implementation of these algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2407_20539
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Memristive Linear Algebra
Lin, Jonathan
Barrows, Frank
Caravelli, Francesco
Mesoscale and Nanoscale Physics
Distributed, Parallel, and Cluster Computing
Classical Analysis and ODEs
Dynamical Systems
Adaptation and Self-Organizing Systems
The advent of memristive devices offers a promising avenue for efficient and scalable analog computing, particularly for linear algebra operations essential in various scientific and engineering applications. This paper investigates the potential of memristive crossbars in implementing matrix inversion algorithms. We explore both static and dynamic approaches, emphasizing the advantages of analog and in-memory computing for matrix operations beyond multiplication. Our results demonstrate that memristive arrays can significantly reduce computational complexity and power consumption compared to traditional digital methods for certain matrix tasks. Furthermore, we address the challenges of device variability, precision, and scalability, providing insights into the practical implementation of these algorithms.
title Memristive Linear Algebra
topic Mesoscale and Nanoscale Physics
Distributed, Parallel, and Cluster Computing
Classical Analysis and ODEs
Dynamical Systems
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2407.20539