Tridiagonal Matrix Algorithm
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Tridiagonal Matrix Algorithm

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High Quality Content by WIKIPEDIA articles! In numerical linear algebra, the tridiagonal matrix algorithm (TDMA), also known as the Thomas algorithm (named after Llewellyn Thomas), is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations. For such systems, the solution can be obtained in O(n) operations instead of O(n3) required by Gaussian elimination. A first sweep eliminates the ai's, and then an (abbreviated) backward substitution produces the solution. Example of such matrices commonly arise from the discretization of 1D Poisson equation (e.g...