POSITIVE STOCHASTIC MATRICES AS CONTRACTION MAPS

被引：0
|
作者：
Shih, Mau-Hsiang [1 ]
Takahashi, Wataru [2 ,3 ,4 ]
机构：
[1] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan
[2] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan
[3] Keio Univ, Keio Res & Educ Ctr Nat Sci, Yokohama, Kanagawa 2238521, Japan
[4] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2013年 / 14卷 / 04期
关键词：
Stochastic matrix; contraction; fixed point;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that if A = (a(ij)) is an n x n positive stochastic matrix, then A is a contraction from the unit (n - 1)-simplex into itself with respect to the l(1) norm, with the contraction constant 1/2 max(j not equal j') (n)Sigma(i=1) vertical bar a(ij) - a(ij')vertical bar.
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页码：649 / 651
页数：3
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