English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 54051/88873 (61%)
造訪人次 : 10548990      線上人數 : 29
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜尋範圍 查詢小技巧:
  • 您可在西文檢索詞彙前後加上"雙引號",以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋,建議至進階搜尋限定作者欄位,可獲得較完整資料
  • 進階搜尋
    請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41400


    題名: The Perron generalized eigenspace and the spectral cone of a cone-preserving map
    作者: 譚必信;Tam, Bit-shun
    貢獻者: 淡江大學數學學系
    關鍵詞: Cone-preserving map;Nonnegative matrix;Level characteristics;Height characteristic;Semi-distinguished invariant face;Perron generalized eigenspace;Principal component;Spectral cone;Preferred-basis theorem;Majorization relation
    日期: 2004-12-01
    上傳時間: 2010-01-28 07:28:53 (UTC+8)
    出版者: Elsevier
    摘要: A unified treatment is offered to reprove known results on the following four highlights of the combinatorial spectral theory of nonnegative matrices, or to extend (or partly extend) the results to the setting of a linear map preserving a polyhedral proper (or proper) cone: the preferred-basis theorem, equivalent conditions for equality of the (graph-theoretic) level characteristic and the (spectral) height characteristic, the majorization relation between the two characteristics, and the relation between the combinatorial properties of a nonnegative matrix and the positivity of the individual entries in its principal components. This is achieved by employing the new concept of spectral cone of a cone-preserving map and combining the cone-theoretic methods developed in our previous papers on the geometric spectral theory of cone-preserving maps with the algebraic–analytic method introduced by Hartwig, Neumann and Rose and further exploited by Neumann and Schneider for nonnegative matrices.
    關聯: Linear Algebra and Its Applications 393(1-3), pp.375-429
    DOI: 10.1016/j.laa.2004.08.020
    顯示於類別:[數學學系暨研究所] 期刊論文

    文件中的檔案:

    檔案 大小格式瀏覽次數
    index.html0KbHTML55檢視/開啟

    在機構典藏中所有的資料項目都受到原著作權保護.

    TAIR相關文章

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回饋