One of the most important methods for solving the generalized eigenvalue problem Av = λBv is the QZ algorithm, which is a member of the larger class of GZ algorithms. These are normally implemented implicitly as bulge chasing algorithms. We show how to effect rational implicit GZ iterations by chasing bulges in both directions and passing them through each other. Application of this procedure t...

The pioneering use of satellite-based synthetic aperture radar to characterize tropical cyclones in near-real time has provided a crucial new tool with which forecast powerful storms.

Let be a family of sets in some metric space. In the -chasing problem, an online algorithm observes request sequence and responds (online) by giving points these sets. The movement cost is distance between consecutive such points. competitive ratio worst case (over sequences) total smallest one could have achieved knowing advance sequence. said to chaseable if there exists with finite ratio. 19...