Results 11 to 20 of about 73,090 (262)

Accelerated Conjugate Gradient for Second-Order Blind Signal Separation

open access: yesAcoustics, 2022
This paper proposes a new adaptive algorithm for the second-order blind signal separation (BSS) problem with convolutive mixtures by utilising a combination of an accelerated gradient and a conjugate gradient method.
Hai Huyen Dam, Sven Nordholm
doaj   +1 more source

Parallel conjugate gradient method

open access: yesLietuvos Matematikos Rinkinys, 2003
We investigate a parallel version of the preconditioned conjugate gradientmethod. A scalability analysis is done for a finite difference schemewhich approximates the 3D elliptic problem.
Raimondas Čiegis, Galina Šilko
doaj   +3 more sources

A Penalized Linear and Nonlinear Combined Conjugate Gradient Method for the Reconstruction of Fluorescence Molecular Tomography

open access: yesInternational Journal of Biomedical Imaging, 2007
Conjugate gradient method is verified to be efficient for nonlinear optimization problems of large-dimension data. In this paper, a penalized linear and nonlinear combined conjugate gradient method for the reconstruction of fluorescence molecular ...
Shang Shang   +4 more
doaj   +1 more source

Conjugate Gradients for Kernel Machines

open access: yesCoRR, 2019
Regularized least-squares (kernel-ridge / Gaussian process) regression is a fundamental algorithm of statistics and machine learning. Because generic algorithms for the exact solution have cubic complexity in the number of datapoints, large datasets require to resort to approximations.
Bartels, S., Hennig, P.
openaire   +5 more sources

Iteration-fusing conjugate gradient [PDF]

open access: yesProceedings of the International Conference on Supercomputing, 2017
This paper presents the Iteration-Fusing Conjugate Gradient (IFCG) approach which is an evolution of the Conjugate Gradient method that consists in i) letting computations from different iterations to overlap between them and ii) splitting linear algebra kernels into subkernels to increase concurrency and relax data-dependencies. The paper presents two
Zhuang, Sicong, Casas, Marc
openaire   +2 more sources

Differentiating the Method of Conjugate Gradients [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2014
The method of conjugate gradients (CG) is widely used for the iterative solution of large sparse systems of equations $Ax=b$, where $A\in\Re^{n\times n}$ is symmetric positive definite. Let $x_k$ denote the $k$th iterate of CG. This is a nonlinear differentiable function of $b$. In this paper we obtain expressions for $J_k$, the Jacobian matrix of $x_k$
Serge Gratton   +3 more
openaire   +2 more sources

A NEW THREE -TERM CONJUGATE GRADIENT ALGORITHM FOR SOLVING MINIMIZATION PROBLEMS

open access: yesScience Journal of University of Zakho, 2023
The method of optimization is used to determine the most precise value for certain functions within a certain domain; it is mostly studied and employed in the fields of mathematics, computer science, and physics.
Dilovan H. Omar   +2 more
doaj   +1 more source

Two new spectral conjugate gradient algorithms based on Hestenes–Stiefel

open access: yesJournal of Algorithms & Computational Technology, 2017
The spectral conjugate gradient algorithm, which is a variant of conjugate gradient method, is one of the effective methods for solving unconstrained optimization problems.
Guofang Wang   +4 more
doaj   +1 more source

A Multipreconditioned Conjugate Gradient Algorithm [PDF]

open access: yesSIAM Journal on Matrix Analysis and Applications, 2006
We propose a generalization of the conjugate gradient method that uses multiple preconditioners, combining them automatically in an optimal way. The algorithm may be useful for domain decomposition techniques and other problems in which the need for more than one preconditioner arises naturally.
Robert Bridson, Chen Greif
openaire   +1 more source

Predict-and-Recompute Conjugate Gradient Variants [PDF]

open access: yesSIAM Journal on Scientific Computing, 2020
The standard implementation of the conjugate gradient algorithm suffers from communication bottlenecks on parallel architectures, due primarily to the two global reductions required every iteration. In this paper, we study conjugate gradient variants which decrease the runtime per iteration by overlapping global synchronizations, and in the case of ...
Tyler Chen, Erin Carson
openaire   +2 more sources

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