High Performance Linear Solvers and Eigenvalue Computations

by R.-C. Li and X. Li

Efficient algorithms for matrix functions and equations depend critically on the solutions of underlying linear systems and eigenvalue problems. This course aims at bringing to the students the state-of-the-art high performance methods for sparse linear systems and eigenvalue computations. Many practical aspects will be addressed to deliver high speed and robustness to the users of today's sophisticated high performance computers.

For the part of linear systems, we will discuss sparse factorization techniques for building sparse direct, and hybrid direct/iterative solvers, and efficient preconditioners. An outline of this part is

For the part of eigenvalue computations, we will review existing work on Rayleigh quotient-based methods and present recent developments. An outline of this part is

Contact email address: summerschool AT fudan.edu.cn