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复旦大学数学科学学院

非线性数学模型与方法教育部重点实验室

复旦大学研究生院

复旦大学现代数学创新引智基地

上海市现代应用数学重点实验室

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