New solving method of eigenvalue under parallel process

説明

Presents a new method for finding real and complex eigenvalues and eigenvectors. We call this method the pole Gaussian method, since it was inspired by the Gauss-Seidel method. The idea is to use the approximate distance between the eigenvalue poles on the complex plane to iteratively calculate the eigenvalues and eigenvectors. A proof of convergence is presented in this paper, and it is shown that, in some cases, accurate solutions can be obtained by a small number of iterations. The dependence of the convergence speed on the initial values is also investigated. >

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