Mallik, Ranjan K. (2001) The inverse of a tridiagonal matrix Linear Algebra and its Applications, 325 (1-3). pp. 109-139. ISSN 0024-3795
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/S0024-3795(00)00262-7
Abstract
In this paper, explicit formulae for the elements of the inverse of a general tridiagonal matrix are presented by first extending results on the explicit solution of a second-order linear homogeneous difference equation with variable coefficients to the nonhomogeneous case, and then applying these extended results to a boundary value problem. A formula for the characteristic polynomial is obtained in the process. We also establish a connection between the matrix inverse and orthogonal polynomials. In addition, the case of a cyclic tridiagonal system is discussed.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Tridiagonal Matrix; Inverse; Second-order Linear Difference Equation; Variable Coefficients; Explicit Solution; Orthogonal Polynomials |
| ID Code: | 79270 |
| Deposited On: | 31 Jan 2012 06:30 |
| Last Modified: | 31 Jan 2012 06:30 |
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