Reproducing Kernel Method for Solving Systems of Linear Equations
نویسندگان
چکیده
Abstract A new method for finding the exact solutions of systems of linear equations is presented. Advantage of this method is the simplicity of the procedure. There are no additional constraint conditions. The method can avoid evaluation of determinants and matrix computation, and this reduces the amount of computation. Also, the method is valid when the coefficient matrix of the linear system is singular and the solution of the the system exists, and the solution obtained using our method is the minimal norm least-squares solution. Some numerical examples are studied to test the presented method.
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