Analytical inversion of symmetric tridiagonal matrices

Document Type

Article

Publication Date

12-1-1996

Abstract

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. © 1996 IOP Publishing Ltd.

Publication Source (Journal or Book title)

Journal of Physics A: Mathematical and General

First Page

1511

Last Page

1513

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