A Numerical Method for Solving the Proposed Anti-tridiagonal Linear Equations

By analyzing the structure of the proposed anti-tridiagonal linear equations, and in combination with the interpolation method used in solving diagonal linear equations, a new interpolation algorithm is proposed for solving anti-tridiagonal linear equations, which popularizes the interpolation method used to seek diagonal linear equations numerical solutions. Compared with the traditional algorithm, this method takes less memory.It occupied less memory, besides, as a direct method,consideration of convergence did not be required. At the same time, for the solution, there was only a rounding error. This algortihm has not only faster computing speed but high accuracy. Programming is simple and in practical applications, this algortihm is feasible.