This is a preview. Log in through your library . Abstract We analyze the sequence of polynomials defined by the differential-difference equation ${P_{n + 1}}\left( x ...

This article proposes a method for computing the Moore–Penrose inverse of a complex matrix using polynomials in matrices. Such a method is valid for all matrices and does not involve spectral ...

Dozens of machine learning algorithms require computing the inverse of a matrix. Computing a matrix inverse is conceptually easy, but implementation is one of the most challenging tasks in numerical ...

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...

Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. Success is rare in math. Just ask Benson Farb. “The ...