Convergence of the Eberlein diagonalization method under the generalized serial pivot strategies

12/15/2022

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by   Erna Begovic, et al.

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The Eberlein method is a Jacobi-type process for solving the eigenvalue problem of an arbitrary matrix. In each iteration two transformations are applied on the underlying matrix, a plane rotation and a non-unitary elementary transformation. The paper studies the method under the broad class of generalized serial pivot strategies. We prove the global convergence of this method and present several numerical examples.