%0 Journal Article %1 HO96 %A Hu, G Y %A O'Connell, R F %D 1996 %J Journal of Physics A: Mathematical and General %K inversion matrices symmetric tridiagonal %N 7 %P 1511 %T Analytical inversion of symmetric tridiagonal matrices %U http://stacks.iop.org/0305-4470/29/i=7/a=020 %V 29 %X 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.

@article{HO96, 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.}, added-at = {2013-01-07T18:42:22.000+0100}, author = {Hu, G Y and O'Connell, R F}, biburl = {https://www.bibsonomy.org/bibtex/2c28ddbd5e4ab1344293cebad86d7412f/johncsnyder}, description = {Analytical inversion of symmetric tridiagonal matrices - Abstract - Journal of Physics A: Mathematical and General - IOPscience}, interhash = {8b73efa9c020c60987e6cb34534aeafe}, intrahash = {c28ddbd5e4ab1344293cebad86d7412f}, journal = {Journal of Physics A: Mathematical and General}, keywords = {inversion matrices symmetric tridiagonal}, number = 7, pages = 1511, timestamp = {2013-01-09T15:06:09.000+0100}, title = {Analytical inversion of symmetric tridiagonal matrices}, url = {http://stacks.iop.org/0305-4470/29/i=7/a=020}, volume = 29, year = 1996 }