|
August 11
|
 |
Aug. 11 - 7p
|
 |
||
|
12:00 - 12:30
|
14:00 - 14:30
|
14:30 - 15:00
|
| A numerical algorithm for the eigenvalue distribution of no-Hermitian matrices |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
 |
Naomichi Hatano |
| We have developed a numerical algorithm of computing the eigenvalue distribution of non-Hermitian matrices with the memory size of O(N), where N is the dimension of the matrix. The algorithm basically computes the norm of the Green's function from its largest singular value, which involves (i) the matrix inversion of non-Hermitian matrices by the biconjugate gradient method and (ii) the calculation of the largest eigenvalue of a Hermitized matrix by the Lanczos method. |