INVERSE OF STRICTLY ULTRAMETRIC MATRICES ARE OF STIELTJES TYPE

被引：58

作者：

MARTINEZ, S ^{[1
]}

MICHON, G ^{[1
]}

MARTIN, JS ^{[1
]}

机构：

[1] UNIV BOURGOGNE,FAC SCI MIRANDE,DEPT MATH,F-21004 DIJON,FRANCE

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1994年 / 15卷 / 01期

关键词：

ULTRAMETRIC MATRICES; STIELTJES MATRICES;

D O I：

10.1137/S0895479891217011

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper shows that a nonnegative ultrametric matrix A is nonsingular and that its inverse is a strictly diagonally dominant Stieltjes matrix. The method consists of studying the spectral decomposition of A by showing that A preserves a maximal filtration.

引用

页码：98 / 106

页数：9