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...

Full description

Bibliographic Details
Main Authors: Cheng-Hau Shih, 石承浩
Other Authors: Chung-Wei Ha
Format: Others
Language:en_US
Published: 2004
Online Access:http://ndltd.ncl.edu.tw/handle/5qgun3
id ndltd-TW-093NTHU5479001
record_format oai_dc
spelling ndltd-TW-093NTHU54790012019-05-15T19:37:42Z http://ndltd.ncl.edu.tw/handle/5qgun3 On Sturm Sequence and Application 論Sturm序列和應用 Cheng-Hau Shih 石承浩 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. Chung-Wei Ha 夏宗匯 2004 學位論文 ; thesis 14 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 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.
author2 Chung-Wei Ha
author_facet Chung-Wei Ha
Cheng-Hau Shih
石承浩
author Cheng-Hau Shih
石承浩
spellingShingle Cheng-Hau Shih
石承浩
On Sturm Sequence and Application
author_sort Cheng-Hau Shih
title On Sturm Sequence and Application
title_short On Sturm Sequence and Application
title_full On Sturm Sequence and Application
title_fullStr On Sturm Sequence and Application
title_full_unstemmed On Sturm Sequence and Application
title_sort on sturm sequence and application
publishDate 2004
url http://ndltd.ncl.edu.tw/handle/5qgun3
work_keys_str_mv AT chenghaushih onsturmsequenceandapplication
AT shíchénghào onsturmsequenceandapplication
AT chenghaushih lùnsturmxùlièhéyīngyòng
AT shíchénghào lùnsturmxùlièhéyīngyòng
_version_ 1719091067826995200