ON SOLVING ENERGY-DEPENDENT PARTITIONED REAL SYMMETRIC MATRIX EIGENVALUE PROBLEM BY A PARALLEL GENETIC ALGORITHM
2008 ◽
Vol 07
(06)
◽
pp. 1103-1120
Keyword(s):
An energy-dependent partitioning scheme is explored for extracting a small number of eigenvalues of a real symmetric matrix with the help of a serial as well as parallel genetic algorithm (GA). The proposed method is tested on two matrices (up to 2000 × 2000) with an increasing number of processors in a master–slave architecture. A comparison is made with the Jacobi–Davidson method in serial mode as implemented in the JDQZ-package. Different partition sizes are used. Traditionally used Löwdin's method is also tested in both serial and parallel modes. The advantages and disadvantages of the parallel GA-based method in solving the partitioned eigenvalue problem are analyzed.
1984 ◽
Vol 55
(3)
◽
pp. 426-436
◽
2007 ◽
Vol 177
(8)
◽
pp. 676-682
◽
Keyword(s):
Keyword(s):