A Method For Solving Of Linear System With Normal Coefficient Matrices

In this study, we aim to generalize MINRES-N2 method.It means that we tend to obtain an algorithm to transfer each normal matrix that its eigenvalues belong to an algebraic curve of low degree k, to its condensed form through using a unitary similarity transformation. Then , we aim to obtain a method to solve asystem of linear equations that its coefficient matrix is equal to such a matrix by utilizing it. We compare this method and the well-known GMRES method together through using numerical examples to determine which ks have more efficient outcomes through using the obtained method.