TRIDIAGONAL MATRICES - INVERTIBILITY AND CONDITIONING

被引：16

作者：

BRUGNANO, L

TRIGIANTE, D

机构：

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1992年 / 166卷

关键词：

D O I：

10.1016/0024-3795(92)90273-D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Tridiagonal matrices arise in a large variety of applications. Most of the time they are diagonally dominant, and this is indeed the case most extensively studied. In this paper we study, in a unified approach, the invertibility and the conditioning of such matrices. The results presented provide practical criteria for a tridiagonal and irreducible matrix to be both invertible and "well conditioned." An application to a singular perturbation boundary value problem is then presented.

引用

页码：131 / 150

页数：20

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