On convergence and accuracy of the J-Jacobi method under the de Rijk pivot strategy
Abstract
This paper proves global convergence of the elementwise J-Jacobi method for J-Hermitian matrices under the de Rijk pivot strategy and briefly considers the asymptotic convergence of the method. Also considered is the accuracy of a new code for hyperbolic rotations of order two that employs only correctly rounded operations. The numerical tests demonstrate the advantage in the convergence speed of the J-Jacobi method under the de Rijk pivot strategy over the same method under the row-cyclic strategy for both the two-sided and the one-sided (implicit) variant of the method.
Fields of Study & Subjects
Matrix Theory and Algorithms
Iterative Methods for Nonlinear Equations
Numerical methods for differential equations
Publication details
- Journal / source
- ETNA - Electronic Transactions on Numerical Analysis
- Publisher
- Osterreichische Akademie der Wissenschaften, Verlag
- Volume
- 65
- Pages
- 26–62
- Publication date
- 1 January 2026
- Language
- EN