Speaker
Erna Begovic Kovac
(University of Zagreb)
Description
The Jacobi method is a well known iterative method for solving the symmetric eigenvalue problem. Efficiency of the Jacobi method can be improved if the algorithm works on the matrix blocks instead of the elements.
In this talk we consider the convergence of the complex block Jacobi diagonalization methods under the large set of the generalized serial pivot strategies. We present the convergence results of the block methods for Hermitian, normal and $J$-Hermitian matrices. Moreover, we consider the convergence of a general block iterative process in order to obtain the convergence results for the block methods that solve other eigenvalue problems, such as the generalized eigenvalue problem.
Primary author
Erna Begovic Kovac
(University of Zagreb)
Co-author
Vjeran Hari
(University of Zagreb)
