Convergence Analysis of Triangular and Symmetric Splitting Method for Steady State Vector of Regularized Linear System with Block Circulant Matrices

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B Harika , L P Raj Kumar, D Rajaiah, P Malla Reddy


In this paper, triangular and symmetric splitting method is applied for determining the steady state probability vector  of regularized linear system The homogeneous system  where  is block stochastic rate matrix, is transformed into  regularized non-homogeneous linear system  by using preconditioned matrix with the small perturbation  It is proved that the  regularized matrix is positive definite. In this  convergence analysis of the (triangular and symmetric) TS iteration method, both  relative error and absolute error are considered. From the numerical results, it is concluded that TS iteration method converge rapidly when compared with other existing methods.

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