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In the current paper the authors linked two methods in order to evaluategeneral n-th order tridiagonal determinants. A breakdown free numericalalgorithm is developed for computing the inverse of any nxn general nonsingulartridiagonal matrix without imposing any constrains. The algorithm is suited forimplementation using any computer language such as FORTRAN, PYTHON, MATLAB,MAPLE, C, C++, MACSYMA, ALGOL, PASCAL and JAVA. Some illustrative examples arepresented.

A Breakdown Free Numerical Algorithm for Inverting General Tridiagonal Matrices