Title page for etd-0715104-140403


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URN etd-0715104-140403
Author Jian-Heng Chen
Author's Email Address No Public.
Statistics This thesis had been viewed 5068 times. Download 2856 times.
Department Applied Mathematics
Year 2003
Semester 2
Degree Ph.D.
Type of Document
Language English
Title Inverse Toeplitz Eigenvalue Problem
Date of Defense 2004-07-12
Page Count 45
Keyword
  • newton method
  • inverse eigenvalue
  • Abstract 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.
    Advisory Committee
  • Zi-Cai Li - chair
  • Jen-Yuan Chen - co-chair
  • Chien-Sen Huang - co-chair
  • Tzon-Tzer Lu - advisor
  • Files
  • etd-0715104-140403.pdf
  • indicate in-campus access immediately and off_campus access in a year
    Date of Submission 2004-07-15

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