Title :
Parallel solver of generalized eigenproblem on Dawning-1000
Author_Institution :
Inst. of Software, Acad. Sinica, Beijing, China
Abstract :
In this paper, we consider the parallel implementation of solving generalized eigenproblem of Hermitian type matrices on Dawning-1000. It arises from the theoretical analysis of nonlinear optical crystal structures. We use Cholesky factorisation, Househoulder transformation, bisection method and inverse iteration to complete the computation. The implementation is based on the BLAS library and communication function library provided on Dawning-1000. The numerical results show very good performance and the application in physics is satisfactory
Keywords :
crystal structure; crystals; eigenvalues and eigenfunctions; parallel algorithms; physics computing; Cholesky factorisation; Dawning-1000; Hermitian type matrices; Househoulder transformation; bisection method; generalized eigenproblem; inverse iteration; nonlinear optical crystal structures; parallel implementation; Eigenvalues and eigenfunctions; Equations; Internet; Karhunen-Loeve transforms; Libraries; Matrix decomposition; Nonlinear optics; Parallel algorithms; Physics; Symmetric matrices;
Conference_Titel :
Advances in Parallel and Distributed Computing, 1997. Proceedings
Conference_Location :
Shanghai
Print_ISBN :
0-8186-7876-3
DOI :
10.1109/APDC.1997.574025
