On the convergence of complex Jacobi methods

V Hari, EB Kovač - Linear and multilinear algebra, 2021 - Taylor & Francis
In this paper we prove the global convergence of the complex Jacobi method for Hermitian
matrices for a large class of generalized serial pivot strategies. For a given Hermitian matrix …

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

EB Kovač, V Hari - Linear algebra and its applications, 2024 - Elsevier
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 …

Convergence of the Eberlein diagonalization method under the generalized serial pivot strategies

E Begovic, A Perkovic - arXiv preprint arXiv:2212.07774, 2022 - arxiv.org
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, a …

Jacobi method for symmetric 4× 4 matrices converges for every cyclic pivot strategy

E Begović Kovač, V Hari - Numerical algorithms, 2018 - Springer
The paper studies the global convergence of the Jacobi method for symmetric matrices of
size 4. We prove global convergence for all 720 cyclic pivot strategies. Precisely, we show …

[HTML][HTML] On the global convergence of the Jacobi method for symmetric matrices of order 4 under parallel strategies

EB Kovač, V Hari - Linear algebra and its applications, 2017 - Elsevier
The paper analyzes special cyclic Jacobi methods for symmetric matrices of order 4. Only
those cyclic pivot strategies that enable full parallelization of the method are considered …

On the complex HZ method for PGEP

V Hari - AIP Conference Proceedings, 2016 - pubs.aip.org
The paper considers a Jacobi-type method for solving the generalized eigenvalue problem
Ax= λBx, where A and B are complex Hermitian matrices and B is positive definite. The …

Konvergencija cikličke Jacobijeve metode za hermitsku matricu reda 4

G Valentić - 2016 - repozitorij.unizg.hr
Sažetak U ovom radu prikazali smo Jacobijevu metodu za hermitske matrice reda 4
definiranu općom cikličkom pivotnom strategijom. Uveli smo relacije ekvivalencije\(\sim …