An iterative method for solving a system of linear equations using wavelet filters
Abstract
An iterative method for solving a system of linear equations using wavelet filters
Incoming article date: 05.11.2015The purpose and objectives of this work are the improvement of the quality of the iterative solution of systems of linear equations(SLAE). To achieve this in the method associated with multi-level wavelet decomposition of the vector of residuals. Calculations in Matlab mathematical package, has confirmed the adequacy of the proposed method and its capabilities in solving systems of linear algebraic equations.
Keywords: the system of linear equations, wavelet transform, wavelet filter, preconditioning algorithm, algorithm, relative error, vector-function, packet decomposition, the norm of the vector, the condition number