Capacitive Crossbar Array for Solving Matrix Equations in One-Shot

Abstract

The resistive crossbar with a feedback loop has been proposed for solving matrix equations in a linear system with the current-domain computation. But the resistive approach suffers from high static power especially when the resistance is low. To overcome the challenges, we leverage C-V asymmetry in the ferroelectric capacitors of a crossbar array for the energy-efficient charge-domain computation. In this work, we demonstrate that such a capacitive crossbar when operated in negative feedback could solve the matrix problem $Ax = {b}$ where x is the unknown vector. A comparative study shows a much lower power consumption (~1000 $\times $ ) for such a matrix solver when compared to the resistive crossbar counterpart.