Convergence of the cyclic and quasi-cyclic block Jacobi methods
The paper studies the global convergence of the block Jacobi me\-thod for symmetric
matrices. Given a symmetric matrix $ A $ of order $ n $, the method generates a sequence of …
matrices. Given a symmetric matrix $ A $ of order $ n $, the method generates a sequence of …
Blocking and parallelization of the Hari–Zimmermann variant of the Falk–Langemeyer algorithm for the generalized SVD
The paper describes how to modify the two-sided Hari–Zimmermann algorithm for
computation of the generalized eigenvalues of a matrix pair (A, B), where B is positive …
computation of the generalized eigenvalues of a matrix pair (A, B), where B is positive …
Globally convergent Jacobi methods for positive definite matrix pairs
V Hari - Numerical algorithms, 2018 - Springer
The paper derives and investigates the Jacobi methods for the generalized eigenvalue
problem A x= λ B x, where A is a symmetric and B is a symmetric positive definite matrix. The …
problem A x= λ B x, where A is a symmetric and B is a symmetric positive definite matrix. The …
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 …
under the large set of the generalized serial pivot strategies. The global convergence of the …
A hierarchically blocked Jacobi SVD algorithm for single and multiple graphics processing units
V Novakovic - SIAM journal on scientific computing, 2015 - SIAM
We present a hierarchically blocked one-sided Jacobi algorithm for the singular value
decomposition (SVD), targeting both single and multiple graphics processing units (GPUs) …
decomposition (SVD), targeting both single and multiple graphics processing units (GPUs) …
Convergence to diagonal form of block Jacobi-type methods
V Hari - Numerische Mathematik, 2015 - Springer
We provide sufficient conditions for the general sequential block Jacobi-type method to
converge to the diagonal form for cyclic pivot strategies which are weakly equivalent to the …
converge to the diagonal form for cyclic pivot strategies which are weakly equivalent to the …
Three-level parallel J-Jacobi algorithms for Hermitian matrices
The paper describes several efficient parallel implementations of the one-sided hyperbolic
Jacobi-type algorithm for computing eigenvalues and eigenvectors of Hermitian matrices. By …
Jacobi-type algorithm for computing eigenvalues and eigenvectors of Hermitian matrices. By …
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 …
arbitrary matrix. In each iteration two transformations are applied on the underlying matrix, a …
On the global convergence of the complex HZ method
V Hari - SIAM journal on matrix analysis and applications, 2019 - SIAM
The paper considers a Jacobi method for solving the generalized eigenvalue problem
Ax=λBx, where A and B are complex Hermitian matrices and B is positive definite. The …
Ax=λBx, where A and B are complex Hermitian matrices and B is positive definite. The …
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 …
under the large set of the generalized serial pivot strategies. The global convergence of the …