A new algorithm for reducing the bandwidth and profile of a sparse matrix is described. Extensive testing on finite element matrices indicates that the algorithm typically produces bandwidth and ...

The new algorithm solves these two problems in “almost linear” time, which means that the algorithm’s runtime is roughly proportional to the amount of time it takes merely to write down the details of ...

DeepMind breaks 50-year math record using AI; new record falls a week later AlphaTensor discovers better algorithms for matrix math, inspiring another improvement from afar.

Based on a variant of biconjugate residual (BCR) algorithm, we construct and analyze an ecient algorithm to find the (least Frobenius norm) solution of the general Sylvester-transpose matrix equations ...