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Convergence of the complex block Jacobi methods under the generalized serial pivot strategies.
- Source :
-
Linear Algebra & its Applications . Oct2024, Vol. 699, p421-458. 38p. - Publication Year :
- 2024
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *JACOBI operators
*MATRICES (Mathematics)
*EIGENVALUES
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 699
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178857939
- Full Text :
- https://doi.org/10.1016/j.laa.2024.07.012