Spectral Graph Theory, Linear Solvers and Applications
published: July 30, 2009, recorded: June 2009, views: 8797
Report a problem or upload filesIf you have found a problem with this lecture or would like to send us extra material, articles, exercises, etc., please use our ticket system to describe your request and upload the data.
Enter your e-mail into the 'Cc' field, and we will keep you updated with your request's status.
We discuss the development of combinatorial methods for solving symmetric diagonally dominate linear systems. Over the last fifteen years the computer science community has made substantial progress in fast solvers for SDD systems. For general SDD systems the upper bound is $0(m \log^k n)$ for some constant $k$, where $m$ is the number of non-zero entries, due to Spielman and Teng. Newer methods, combinatorial multigrid, have linear time guarantee for the planar case and work very well in practice. Critical to the use of these new solvers has been the reduction of problems to the solution of SDD systems. We present some of these reductions, including several from image processing.
Link this pageWould you like to put a link to this lecture on your homepage?
Go ahead! Copy the HTML snippet !