A neural circuit with transcendental energy function for solving system of linear equations

摘要

A feedback neural network based circuit to solve a system of simultaneous linear equations is presented. The circuit has an associated transcendental energy function that ensures fast convergence to the exact solution while enjoying reduction in hardware complexity over existing schemes. The proof of the energy function has been given and it is shown that the gradient network converges exactly to the solution of the system of equations. PSPICE simulation results are presented for linear systems of equations of various sizes and are found to agree exactly with the algebraic solution. Hardware implementation for small sized problems further confirm the circuit operation.