研究生: |
張簡漢華 |
---|---|
論文名稱: |
非負矩陣集合之對角穩定性 Diagonal stability for sets of nonnegative matrices |
指導教授: |
施茂祥
Shih, Mau-Hsiang |
學位類別: |
碩士 Master |
系所名稱: |
數學系 Department of Mathematics |
論文出版年: | 2002 |
畢業學年度: | 90 |
語文別: | 英文 |
論文頁數: | 9 |
中文關鍵詞: | 對角穩定性 、非負矩陣 |
英文關鍵詞: | Diagonal stability, nonnegative matrices, simultaneously contractible |
論文種類: | 學術論文 |
相關次數: | 點閱:403 下載:1 |
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The purpose of this thesis is to prove two results concerning the simultaneous diagonal stability. This paper is motivated by a recent result of Ando and Shih.
1. T. Ando and M.-H. Shih, Simultaneous contractibility, SIAM
J. Matrix Anal. Appl., Vol. 19, No. 2, pp. 487-498, April
1998.
2. A. Berman and B. Plemmons, Nonnegative matrices in the
mathematical sciences, Classics in Applied Mathematics,
SIAM, Philadelphia, 1994.
3. Daubechies and J. C. Lagarias, Sets of matrices all infinite
products of which converge, Linear Algebra Appl., 161(1992),
pp. 227-263.
4. E. Kaszkurewicz and A. Bhaya, Matrix diagonal stability in
systems and computation, Birkhauser, Boston, 2000.
5. G.-C. Rota and G. Strang, A note on the joint spectral
radius, Indag. Math., 22 (1960), pp. 379-381.