Electrical Engineering
      and Computer Sciences

Electrical Engineering and Computer Sciences

COLLEGE OF ENGINEERING

UC Berkeley

An Efficient Tridiagonal Eigenvalue Solver on CM 5 with Laguerre's Iteration

Ren-Cang Li and Huan Ren

EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-94-848
December 1994

http://www.eecs.berkeley.edu/Pubs/TechRpts/1994/CSD-94-848.pdf

In this paper, we propose an algorithm for finding eigenvalues of symmetric tridiagonal matrices based on Laguerre's iteration. The algorithm is fully parallelizable and has been parallelized on CM5 at University of California at Berkeley. We've achieved best possible speedup when matrix dimension is large enough. Besides, we have a well-written serial code which works much more efficient in pathologically close eigenvalue cases than an existing serial code of the same kind due to Li and Zeng.


BibTeX citation:

@techreport{Li:CSD-94-848,
    Author = {Li, Ren-Cang and Ren, Huan},
    Title = {An Efficient Tridiagonal Eigenvalue Solver on CM 5 with Laguerre's Iteration},
    Institution = {EECS Department, University of California, Berkeley},
    Year = {1994},
    Month = {Dec},
    URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1994/5311.html},
    Number = {UCB/CSD-94-848},
    Abstract = {In this paper, we propose an algorithm for finding eigenvalues of symmetric tridiagonal matrices based on Laguerre's iteration. The algorithm is fully parallelizable and has been parallelized on CM5 at University of California at Berkeley. We've achieved best possible speedup when matrix dimension is large enough. Besides, we have a well-written serial code which works much more efficient in pathologically close eigenvalue cases than an existing serial code of the same kind due to Li and Zeng.}
}

EndNote citation:

%0 Report
%A Li, Ren-Cang
%A Ren, Huan
%T An Efficient Tridiagonal Eigenvalue Solver on CM 5 with Laguerre's Iteration
%I EECS Department, University of California, Berkeley
%D 1994
%@ UCB/CSD-94-848
%U http://www.eecs.berkeley.edu/Pubs/TechRpts/1994/5311.html
%F Li:CSD-94-848