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Abstract: This paper proposes a method for speeding up the estimation of the absolute value of largest eigenvalue of an asymmetric tridiagonal matrix based on Power ...

Abstract: The solution of tridiagonal linear systems is used in in various fields and plays a crucial role in numerical simulations. However, there is few efficient solver for tridiagonal linear ...

1 Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El-Kom, Egypt. 2 Department of Mathematics, Faculty of Science, Zagazig University, Ash Sharqiyah, Egypt. In many ...

A new method for solving the 1D Poisson equation is presented using the finite difference method. This method is based on the exact formulation of the inverse of the tridiagonal matrix associated with ...