The fast inverse square-root algorithm: bit-witchery from a more elegant age

Tue, Oct 13, 2015, 12:30 pm

Even though we've long since passed the days where calculating x^(-1/2) was an expensive operation, computation mathematics remains yoked to the burden of computational load.  The fast inverse square root algorithm is a classic example of a very cheap approximation of an expensive operation, using an underlying understanding of how numbers are stored and processed in a computer and some bit-level hacking.  This talk will provide an overview and explanation of the algorithm, discuss some of the concepts needed to understand how it works (in particular, the contrast between fixed and floating point numbers in computation), and bound the error of the approximation.

Fine Hall 214
Event category: 

Upcoming Events

*Online Conference* Analysis of Fluids and Related Topics: Traveling wave solutions to the free boundary Navier-Stokes equations, Speaker: Ian Tice, Carnegie Mellon University

*Online Seminar* Graduate Student Seminar: Locally Interacting Markov Chains on Random and Heterogeneous Graphs, Speaker, Mira Gordin

VIRTUAL IDeAS Seminar: Yong Sheng Soh, National University of Singapore

Wed, Mar 17, 2021, 10:30 am
Location: via Zoom - Link TBA