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 ...
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

An Inversion-Free Iterative Algorithm With a Scalar Tuning Parameter for Coupled Riccati Matrix Equations Arising in LQ Optimal Control of Markov Jump Systems

Abstract: In this article, iterative algorithms are investigated to solve the Riccati algebraic matrix equations arising in the context of linear quadratic (LQ) optimal control of discrete-time Markov ...
Scientific Research Publishing

Thorne, L.R. (2009) An Innovative Approach to Balancing Chemical Reaction Equations: A Simplified Matrix-Inversion Technique for Determining the Matrix Null Space. The Chemical ...

ABSTRACT: In this paper, a formal and systematic method for balancing chemical reaction equations was presented. The results satisfy the law of conservation of matter, and confirm that there is no ...
BBC

Solving one and two-step linear equations

Make sure you are confident in calculating with negative numbers, which is a skill often needed to solve equations. To solve the equation, do the inverse operation. The inverse of multiplying by 12 is ...