Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Multiplies ( A^{-1} ) with ( B ) to obtain the solution vector ( X ). Provides error handling for cases where the matrix ( A ) is not invertible or input is invalid.

Abstract: In this paper Recurrent neural networks for solving linear matrix equations are proposed. we give an overview of recent research into recurrent algorithms for the solution of linear matrix ...

Abstract: In this paper, a new iterative algorithm for linear matrix-vector equation (LMVE) solving on the basis of Zhang approximation inverse (ZAI) is proposed. The optimal Zhang approximation ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...