This paper presents a new three-term hybrid conjugate gradient projection method for handling large-scale convex-constrained nonlinear monotone equations that are prevalent in fields such as ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

The modern internet is ruled by algorithms. When you boot up Instagram, for example, what you see in your feed is strategically sorted by the app's AI based on your past activity to keep you engaged ...

Abstract: Motivated by the success of Shanno's memoryless Conjugate Gradient (CG) methods [28,29], this paper derives a new scaled quasi-Newton like CG algorithm that utilizes an update formula that ...

Think about the last time you opened Netflix. Did you scroll through countless options or go with a recommended title? When you log into social media, do you decide what to see, or does an algorithm ...

This study introduced an efficient method for solving non-linear equations. Our approach enhances the traditional spectral conjugate gradient parameter, resulting in significant improvements in the ...

Social media platforms are more than just tools for sharing cat videos or keeping up with friends—they're powerful influencers of public opinion. The algorithms that drive these platforms determine ...

This week I interviewed Senator Amy Klobuchar, Democrat of Minnesota, about her Preventing Algorithmic Collusion Act. If you don’t know what algorithmic collusion is, it’s time to get educated, ...