Quanta Magazine

New Algorithm Breaks Speed Limit for Solving Linear Equations

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...
Frontiers

Improving the convergence of an iterative algorithm for solving arbitrary linear equation systems using classical or quantum binary optimization

1 Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brazil 2 Petróleo Brasileiro S.A., Centro de Pesquisas Leopoldo Miguez de Mello, Rio de Janeiro, Brazil Recent advancements in quantum ...
Scientific Research Publishing

The LA = U Decomposition Method for Solving Systems of Linear Equations ()

1 Department of Environmental Health Science, University of Eswatini, Mbabane, Eswatini. 2 Department of Chemistry, University of Eswatini, Kwaluseni, Eswatini. Systems of linear equations or ...
IEEE

Solving Systems of Linear Equations Using In-Memory Computing

Abstract: This paper presents a novel hardware approach for solving systems of linear equations by leveraging in-memory computing (IMC) with memristive crossbar arrays. Unlike conventional ...
IEEE

A Novel Gradient Neural Network for Tackling the Complex-valued System of Linear Equations Online

Abstract: To increase the convergence speed for tackling the complex-valued system of linear equation (CVSLE) problem online, a novel fully complex-valued gradient neural network (FCGNN) model is ...