Solving large-scale eigenvalue problems in SciDAC applications

Solving Large-scale Eigenvalue Problems in SciDAC Applications

Large-scale eigenvalue problems arise in a number of DOE applications. This paper provides an ovcrvicw of thc recent dcvclopriicrit of cigciivaluc computation in the coritcxt of two SciDAC applications. We emphasize the importance of Krylov suhspace methods, and point out its limitations. M7e discuss the value of alternative approaches that are more amenable to the use of prcconditioncrs, arid ...

Solving Large-Scale Eigenvalue Problems on Vector Parallel Processors

We consider the development and implementation of eigen-solvers on distributed memory parallel arrays of vector processors and show that the concomitant requirements for vectorization and paralleliza-tion lead both to novel algorithms and novel implementation techniques. Performance results are given for several large-scale applications and some performance comparisons made with LAPACK and ScaL...

Lecture Notes on Solving Large Scale Eigenvalue Problems

Large - Scale Eigenvalue Problems in Structural Dynamics

Solving nonlinear eigenvalue problems