Analytical inversion of symmetric tridiagonal matrices
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
Hu, G., & O'Connell, R. (1996). Analytical inversion of symmetric tridiagonal matrices. Journal of Physics A: Mathematical and General, 29 (7), 1511-1513. https://doi.org/10.1088/0305-4470/29/7/020