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Fast and Stable Low-rank Symmetric Eigen-update
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Liang, Ruochen. |
| 단체저자명 | University of California, Berkeley. Applied Mathematics. |
| 서명/저자사항 | Fast and Stable Low-rank Symmetric Eigen-update. |
| 발행사항 | [S.l.] : University of California, Berkeley., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 68 p. |
| 소장본 주기 | School code: 0028. |
| ISBN | 9780438325692 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Ming Gu. |
| 요약 | 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 |
| 요약 | 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 |
| 요약 | 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 |
| 요약 | 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 |
| 일반주제명 | Mathematics. Applied mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International80-01B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T15000057 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00024792 | DP 510 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출불가(별치) |
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