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.

引用

页码：649 / 651

页数：3

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