Results 241 to 250 of about 781,590 (289)

Vectorization of some block preconditioned conjugate gradient methods

Parallel Computing, 1990
Although the preconditioned conjugate gradient methods are effective for solving the linear systems arising from discretization of elliptic partial differential equations, the solution of the linear system \(Mr=s\), \(M=LD^{-1}L^ T\), where D, L are, respectively, diagonal and bidiagonal block matrices, to get the preconditioned residual, is a quite ...
Luigi Brugnano, Maricla Marrone
exaly   +3 more sources

Moving force identification based on modified preconditioned conjugate gradient method [PDF]

open access: yesJournal of Sound and Vibration, 2018
This paper develops a modified preconditioned conjugate gradient (M-PCG) method for moving force identification (MFI) by improving the conjugate gradient (CG) and preconditioned conjugate gradient (PCG) methods with a modified Gram-Schmidt algorithm. The
Zhen Chen, Andy Nguyen, Tommy Chan
exaly   +2 more sources

SAOR Preconditioned Conjugate Gradient Method

Workshop on Intelligent Information Technology Application (IITA 2007), 2007
Jianguo Wang, Guoyan Meng
exaly   +2 more sources

The preconditioned conjugate gradient method on the hypercube

Proceedings of the third conference on Hypercube concurrent computers and applications -, 1988
A parallel algorithm for solving the elliptic partial differential equation (PDE) is described in this paper through the finite difference method (FDM) The Concurrent Preconditioned Conjugate Gradient method is developed to optimize processor load balancing. This algorithm is evaluated on a hypercube-based concurrent machine, the Intel iPSC.
G. Abe, K. Hane
openaire   +1 more source

Preconditioned Conjugate Gradient Method and Generalized Successive Overrelaxation Method for the Least Squares Problems

open access: yesInternational Journal of Computer Mathematics, 2002
In a recent paper [4], Li et al. gave a generalized successive overrelaxation (GSOR) method for the least squares problems. In this paper, the connection between the GSOR method and the preconditioned conjugate gradient (PCG) method for the normal ...
Li ZJ(李长军), Evans, DJ
exaly   +1 more source

Optimizing Preconditioned Conjugate Gradient on TaihuLight for OpenFOAM

2018 18th IEEE/ACM International Symposium on Cluster, Cloud and Grid Computing (CCGRID), 2018
Porting the domain-specific software OpenFOAM onto the TaihuLight supercomputer is a challenging task, due to the highly memory-bound nature of both the supercomputer's processor (SW26010) and the software's liner solvers. Our study tackles this technical challenge, in three steps, by optimizing the linear solvers, such as Preconditioned Conjugate ...
James Lin 0001   +5 more
openaire   +2 more sources

Efficient Polynomial Preconditioning for the Conjugate Gradient Method

SIAM Journal on Scientific and Statistical Computing, 1990
This paper formulates and compares procedures for reducing computation in carrying out m-step or polynomial preconditioning in the conjugate gradient method. These procedures are based on corresponding ones for one-step preconditioning given by Bank and Douglas [Appl. Numer. Math., 1(1985), pp. 489–492], Conrad and Wallach [Numer. Math., 27 (1979), pp.
Stanley C. Eisenstat   +2 more
openaire   +1 more source

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