A GPU-based hyperbolic SVD algorithm
V Novaković, S Singer - BIT numerical mathematics, 2011 - Springer
A one-sided Jacobi hyperbolic singular value decomposition (HSVD) algorithm, using a
massively parallel graphics processing unit (GPU), is developed. The algorithm also serves …
massively parallel graphics processing unit (GPU), is developed. The algorithm also serves …
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 …
[HTML][HTML] Full block J-Jacobi method for Hermitian matrices
The paper considers convergence, accuracy and efficiency of a block J-Jacobi method. The
method is a proper BLAS 3 generalization of the known method of Veselić for computing the …
method is a proper BLAS 3 generalization of the known method of Veselić for computing 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 …
Performance of the parallel block Jacobi method with dynamic ordering for the symmetric eigenvalue problem
S Kudo, K Yasuda, Y Yamamoto - JSIAM Letters, 2018 - jstage.jst.go.jp
We investigate the performance of the parallel block Jacobi method for the symmetric
eigenvalue problem with dynamic ordering both theoretically and experimentally. First, we …
eigenvalue problem with dynamic ordering both theoretically and experimentally. First, we …
A Kogbetliantz-type algorithm for the hyperbolic SVD
V Novaković, S Singer - Numerical algorithms, 2022 - Springer
In this paper, a two-sided, parallel Kogbetliantz-type algorithm for the hyperbolic singular
value decomposition (HSVD) of real and complex square matrices is developed, with a …
value decomposition (HSVD) of real and complex square matrices is developed, with a …
Implicit Hari–Zimmermann algorithm for the generalized SVD on the GPUs
V Novaković, S Singer - The International Journal of High …, 2021 - journals.sagepub.com
A parallel, blocked, one-sided Hari–Zimmermann algorithm for the generalized singular
value decomposition (GSVD) of a real or a complex matrix pair (F, G) is here proposed …
value decomposition (GSVD) of a real or a complex matrix pair (F, G) is here proposed …
Numerical aspects of determination of natural frequencies of a power transmission line cable equipped with in-line fittings
In the analysis of Aeolian vibration response of electric power transmission lines, the
modified energy balance method (MEBM) is often used. The first and crucial step in applying …
modified energy balance method (MEBM) is often used. The first and crucial step in applying …
A study on parallelization of successive rotation based joint diagonalization
XL Wang, XF Gong, QH Lin - 2014 19th International …, 2014 - ieeexplore.ieee.org
Joint diagonalization (JD) is an instrumental tool in a vast variety of applications such as
blind source separation, polarization sensitive array processing, and linear algebra based …
blind source separation, polarization sensitive array processing, and linear algebra based …