In 1965 Broyden introduced a family of algorithms called (rank-one) quasi-Newton methods for iteratively solving systems of nonlinear equations. We show that when any member of this family is applied ...

This is a preview. Log in through your library . Abstract The purpose of this paper is to present efficient algorithms for computing solutions to systems of nonlinear equations with a block diagonal ...

Sometimes, it’s easy for a computer to predict the future. Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what ...

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 ...