Path product matrices and eventually inverse M-matrices

被引：7

作者：

Johnson, Charles R. ^{[1
]}

Smith, Ronald L.

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2007年 / 29卷 / 02期

关键词：

M-matrices; inverse M-matrices; path product matrices;

D O I：

10.1137/050636048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Those nonnegative matrices, some Hadamard power of which are inverse M-matrices, are characterized. This requires a refinement of the strict path product necessary condition [ C. R. Johnson and R. L. Smith, Linear Multilinear Algebra, 46 ( 1999), pp. 177 - 191] for an inverse M-matrix. The smallest such Hadamard power may be arbitrarily large. It is also shown that, beyond some threshold, all continuous Hadamard powers of an inverse M-matrix are inverse M. In the process, several new results about inverse M-matrices are given.

引用

页码：370 / 376

页数：7

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