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math.NA2026
Convergence and mixed-precision preconditioning for the naive Jacobi eigenvalue algorithm
Erna Begovic, Marija Miloloza Pandur, Ana Perkovic
The paper studies a Jacobi-type method for the eigenvalue problem of general complex matrices with simple eigenvalues. The method applies elementary triangular similarity transform…
math.NA2025
On the block Eberlein diagonalization method
Erna Begovic, Ana Perkovic
The Eberlein diagonalization method is an iterative Jacobi-type method for solving the eigenvalue problem of a general complex matrix. In this paper we develop the block version of…
math.NA2022
Convergence of the Eberlein diagonalization method under the generalized serial pivot strategies
Erna Begovic, Ana Perkovic
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,…