On Sturm Sequence and Application
碩士 === 國立清華大學 === 數學系 === 93 === Sturm theorem provides a classical method to lacate the roots of a real polynomial as well as the eigenvalues of a tridiagonal matrix. It exhibits an admirable simplicity in its proof and an easy manner in application. Various aspects of Sturm theorem are presented i...
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| Format: | Others |
| Language: | en_US |
| Published: |
2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/5qgun3 |
| Summary: | 碩士 === 國立清華大學 === 數學系 === 93 === Sturm theorem provides a classical method to lacate the
roots of a real polynomial as well as the eigenvalues of a tridiagonal matrix. It exhibits an admirable simplicity
in its proof and an easy manner in application. Various
aspects of Sturm theorem are presented in this thesis. A
partial answer is obtained to the initial object to find
sufficint conditions for Sturm sequence.
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