In this thesis, we consider the inverse Toeplitz eigenvalue problem which recover a real symmetric Toeplitz with desired eigenvalues. First some lower dimensional cases are solved by algebraic methods. This gives more insight on the inverse problem. Next, we explore the geometric meaning of real symmetric Toeplitz matrices. For high dimensional cases, numerical are unavoidable. From our numerical experiments, Newton-like methods are very effective for this problem.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0715104-140403 |
| Date | 15 July 2004 |
| Creators | Chen, Jian-Heng |
| Contributors | Jen-Yuan Chen, Zi-Cai Li, Tzon-Tzer Lu, Chien-Sen Huang |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0715104-140403 |
| Rights | off_campus_withheld, Copyright information available at source archive |
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