Convergence of the complex block Jacobi methods under the generalized serial pivot strategies

The paper considers the convergence of the complex block Jacobi diagonalization methods under the large set of the generalized serial pivot strategies. The global convergence of the block methods for Hermitian, normal and J-Hermitian matrices is proven. In order to obtain the convergence results for...

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Bibliographic Details
Published in:Linear algebra and its applications 2024-10, Vol.699, p.421-458
Main Authors: Begović Kovač, Erna, Hari, Vjeran
Format: Article
Language:English
Subjects:
Complex block Jacobi method
Complex block Jacobi operators
Global convergence
Hermitian matrices
J-Hermitian matrices
Normal matrices
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Summary:The paper considers the convergence of the complex block Jacobi diagonalization methods under the large set of the generalized serial pivot strategies. The global convergence of the block methods for Hermitian, normal and J-Hermitian matrices is proven. In order to obtain the convergence results for the block methods that solve other eigenvalue problems, such as the generalized eigenvalue problem, we consider the convergence of a general block iterative process which uses the complex block Jacobi annihilators and operators.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2024.07.012