Finding the Inversion of a Square Matrix and Pseudo-inverse of a Non-square Matrix by Hebbian Learning Rule

In this paper, we discuss a neural network based on hebbian learning rule for finding the inverse of a matrix.First we described finding the inverse of a matrix by mentioned neural network. Finally, experimental results for square and non-square matrices are presented to show the effectiveness of the approach. Proposed method is also scalable for finding the inversion of large-scale matrices.

Keywords:

Hebbian Learning rule , neural networks , solving simultaneous linear equations