Solving matrix equations in one step with cross-point resistive arrays.

Abstract:

:Conventional digital computers can execute advanced operations by a sequence of elementary Boolean functions of 2 or more bits. As a result, complicated tasks such as solving a linear system or solving a differential equation require a large number of computing steps and an extensive use of memory units to store individual bits. To accelerate the execution of such advanced tasks, in-memory computing with resistive memories provides a promising avenue, thanks to analog data storage and physical computation in the memory. Here, we show that a cross-point array of resistive memory devices can directly solve a system of linear equations, or find the matrix eigenvectors. These operations are completed in just one single step, thanks to the physical computing with Ohm's and Kirchhoff's laws, and thanks to the negative feedback connection in the cross-point circuit. Algebraic problems are demonstrated in hardware and applied to classical computing tasks, such as ranking webpages and solving the Schrödinger equation in one step.

authors

Sun Z,Pedretti G,Ambrosi E,Bricalli A,Wang W,Ielmini D

doi

10.1073/pnas.1815682116

subject

Has Abstract

pub_date

2019-03-05 00:00:00

pages

4123-4128

issue

10

eissn

0027-8424

issn

1091-6490

pii

1815682116

journal_volume

116

pub_type

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