Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/90190| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 王太林 | zh_TW |
| dc.contributor.author | 黃建發 | zh_TW |
| dc.creator | 黃建發 | zh_TW |
| dc.date | 1990 | en_US |
| dc.date | 1989 | en_US |
| dc.date.accessioned | 2016-05-03T06:17:43Z | - |
| dc.date.available | 2016-05-03T06:17:43Z | - |
| dc.date.issued | 2016-05-03T06:17:43Z | - |
| dc.identifier | B2002005455 | en_US |
| dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/90190 | - |
| dc.description | 碩士 | zh_TW |
| dc.description | 國立政治大學 | zh_TW |
| dc.description | 應用數學系 | zh_TW |
| dc.description.abstract | QR 算則是目前常用的一種計算矩陣特徵值的方法，而適當的運用位移可增加比算則的收斂速度，本文探討五種己知的位移，並提出二種新位移.我們首先對各種位移做摘要性的探討及其收斂性的研究，其次舉出一些例子以說明各位移的利弊及其相互間的比較，並就下列三類方式對位移做排行: | zh_TW |
| dc.description.tableofcontents | 0 Introduction.....................................1\r\n1 Preliminary\r\n1.1 The QR Algorithm............................2\r\n1.2 The Importance of Shifts...........................3\r\n2 Shift Strategies ...........................5\r\n3 Analysis\r\n3.1 The Optimal Shift...........................11\r\n3.2 The Modified Optimal Shift...........................16\r\n3.3 The Third-order Shift ...........................20\r\n4 NumericaI Examples\r\n4.1 The Mixed Shift...........................24\r\n4.2 Comparison of Shifts ...........................25\r\n4.3 Properties of Convergence ...........................27\r\n4.4 Estimate of Eigenvalues ...........................28\r\n5 Conclusions ...........................31\r\nAppendix ...........................33\r\nReferences...........................41 | zh_TW |
| dc.source.uri | http://thesis.lib.nccu.edu.tw/record/#B2002005455 | en_US |
| dc.title | 三對角QR算則之位移策略 | zh_TW |
| dc.title | Shifts of origin for the real symmetric tridiagonal QR algorithm | en_US |
| dc.type | thesis | en_US |
| dc.relation.reference | [Da] Bernard Danloy (1986). \"Improved Strategies of Shift for the QL Algorithm and for Inverse Iteration in the Symmetric Case,\"Department of Pure and Applied Mathematics Chemin du Cyclotron,2, 1348 Louvain-la-Neuve Belgium, unpublished paper.\r\n[DT] T. J. Dekker and J. F. Traub (1971). \"The Shifted QR Algorithm for Hermitian Matrices,\" 1. Linear Algebra Appl. 4, p137--54.\r\n[HP] W. Hoffman and B. N. Parlett (1978). \"A New Proof of Global Convergence for the Tridiagonal QL Algorithm,\" SIAM. J. Numer.Anal. 15, p929-37.\r\n[JZ] Jiang Erxiong and Zhang Zhenyue (1985). \"A New shift of the QL Algorithm for Irreducible Symmetric Tridiagonal Matrices,\" J. Linear Algebra Appl. 65, p261-72.\r\n[Pa] B. N. Parlett (1980). The Symmetric Eigenvalue Problem, PrenticeHall, Englewood Cliffs, N.J.\r\n[Sa] Youcef Saad (1974). \"Shifts of Origin for the QR Algorithm,\"Toronto: Pro. IFIP Congress.\r\n[Wa] Tai-Lin Wang (1988). Unpublished manuscripts.\r\n[Wi1] J. H. Wilkinson (1965). The Algebraic Eigenvalue Problem,Clarendon Press, Oxford.\r\n[Wi2] J. H. Wilkinson (1968). \"Global Convergence of Tridiagonal QR Algorithm with Origin Shifts,\" 1. Linear Algebra Appl. I, p409-20. | zh_TW |
| item.fulltext | With Fulltext | - |
| item.grantfulltext | open | - |
| item.openairetype | thesis | - |
| item.openairecristype | http://purl.org/coar/resource_type/c_46ec | - |
| item.cerifentitytype | Publications | - |
| Appears in Collections: | 學位論文 | |
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| index.html | 113 B | HTML2 | View/Open |
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