Analytical inversion of symmetric tridiagonal matrices

被引：88

作者：

Hu, GY

OConnell, RF

机构：

[1] Department of Physics and Astronomy, Louisiana State University, Baton Rouge

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 07期

关键词：

D O I：

10.1088/0305-4470/29/7/020

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper we present an analytical formula for the inversion of symmetrical tridiagonal matrices. The result is of relevance to the solution of a variety of problems in mathematics and physics. As an example, the formula is used to derive an exact analytical solution for the one-dimensional discrete Poisson equation with Dirichlet boundary conditions.

引用

页码：1511 / 1513

页数：3