| LDR | | 00000nmm u2200205 4500 |
| 001 | | 000000330465 |
| 005 | | 20241031184938 |
| 008 | | 181129s2018 ||| | | | eng d |
| 020 | |
▼a 9780438325692 |
| 035 | |
▼a (MiAaPQ)AAI10845378 |
| 035 | |
▼a (MiAaPQ)berkeley:18106 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 049 | 1 |
▼f DP |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Liang, Ruochen. |
| 245 | 10 |
▼a Fast and Stable Low-rank Symmetric Eigen-update. |
| 260 | |
▼a [S.l.] :
▼b University of California, Berkeley.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 68 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B. |
| 500 | |
▼a Adviser: Ming Gu. |
| 502 | 1 |
▼a Thesis (Ph.D.)--University of California, Berkeley, 2018. |
| 520 | |
▼a Updating the eigensystem of modified symmetric matrices is an important task arising from certain fields of applications. The core of the problem is computing the eigenvalues and orthogonal eigenvectors of a diagonal matrix with symmetric low ra |
| 520 | |
▼a The main contribution of this thesis is a new method to compute all the eigenvalues and eigenvectors of a real diagonal matrix with a symmetric low rank perturbation. The algorithm computes an orthogonal matrix Q = [q1, q2,..., qn] and a diagona |
| 520 | |
▼a Aside from solving the eigensystem update problem mentioned above, our proposed method can also be used in the divide and conquer eigenvalue algorithm. Cuppen's divide and conquer algorithm [16] solves a rank-one update of eigensystem in its mer |
| 520 | |
▼a In our proposed algorithm, eigenpairs are mostly computed by Rayleigh Quotient Iteration safe-guarded with bisection, with each eigenpair requiring O(nr2) flops to compute. Hence the overall computational complexity for our algorithm is O( n2r2 |
| 590 | |
▼a School code: 0028. |
| 650 | 4 |
▼a Mathematics. |
| 650 | 4 |
▼a Applied mathematics. |
| 690 | |
▼a 0405 |
| 690 | |
▼a 0364 |
| 710 | 20 |
▼a University of California, Berkeley.
▼b Applied Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 80-01B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0028 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15000057
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자
▼b 관리자 |