A one-sided Jacobi algorithm for computing the singular value decomposition on avector computer
SIAM Journal on Scientific and Statistical Computing
A Proof of Convergence for Two Parallel Jacobi SVD Algorithms
IEEE Transactions on Computers
Computing the Singular-Value Decomposition on the ILLIAC IV
ACM Transactions on Mathematical Software (TOMS)
The Block Jacobi Method for Computing the Singular Value Decomposition
The Block Jacobi Method for Computing the Singular Value Decomposition
An algorithm for the generalized singular value decomposition on massively parallel computers
ICS '91 Proceedings of the 5th international conference on Supercomputing
An efficient method for computing eigenvalues of a real normal matrix
Journal of Parallel and Distributed Computing
IEEE Transactions on Computers
Hi-index | 14.98 |
Consideration is given to the computation of the singular value decomposition (SVD) on the Connection Machine (CM). Brief descriptions of the Lisp language and some typical matrix manipulating functions are given. Implementation details of various Jacobi-SVD algorithms on an 8192-processor CM are presented. For n*n matrices, where nor=64, the decomposition is computed in time O(n) per sweep.