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Analysis of Parallel Preconditioned Conjugate Gradient Algorithms
Informatica, 2005 Summary: The conjugate gradient method is an iterative technique used to solve systems of linear equations. The paper analyzes the performance of parallel preconditioned conjugate gradient (PPCG) algorithms. First, a theoretical model is proposed for the estimation of the complexity of the PPCG method and a scalability analysis is done for three ...
Čiegis, Raimondas
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Superoptimal Preconditioned Conjugate Gradient Iteration for Image Deblurring [PDF]
SIAM Journal on Scientific Computing, 2005 The authors provide a systematic spectral analysis of circulant superoptimal preconditioners for Toeplitz structured linear systems arising from image deblurring. They also study the computational complexity for the computation of superoptimal approximations and present a detailed documentation of numerical results.
Fabio Di Benedetto +2 more
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Preconditioned Conjugate Gradient Iaa Spectral Estimation
, 2011 Publication in the conference proceedings of EUSIPCO, Barcelona, Spain ...
George-Othon Glentis, Andreas Jakobsson
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Improvement of conjugate gradient methods for removing impulse noise images [PDF]
, 2023 Optimization problems occur in most disciplines like engineering, physics, mathematics, economics, administration, commerce, social sciences, and even politics.
Ahmed A. Abdullah, Ali +3 more
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A PCG ALGORITHM FOR NON-LINEAR OPTIMIZATION BASED ON A QUADRATIC MODEL [PDF]
مجلة التربية والعلم, 2006 In this paper a new preconditioned Extended Conjugate Gradient with self-scaling Variable Metric method is proposed for unconstrained optimization. This method is based on the inexact line searches and it is examined by using different nonlinear test ...
Abbas. AI-Bayati +1 more
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About analysis of large problems of structural mechanics on multi-core computers [PDF]
Инженерно-строительный журнал, 2013 The sparse direct solvers as well as iterative methods are considered for analysis of large-scale finite element problems of structural mechanics on multi-core computers.
S.Yu. Fialko
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Error Estimation in Preconditioned Conjugate Gradients
BIT Numerical Mathematics, 2005 The authors deal with the problem of convergence in the preconditioned conjugate gradient method for the solution of a linear system \(Ax=b\), where \(A\) is a symmetric positive definite \(n\times n\) matrix. Indeed, the problem of this convergence was the subject of many papers in literature.
Strakoš, Z. (Zdeněk) +1 more
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Preconditioned Conjugate Gradient Algorithms for Homotopy CurveTracking [PDF]
, 1989 These are alogorithms for finding zeros or fixed points of nonlinear systems of equations that are globally convergent for almost all starting points, i.e., with probability one.
Kamat, Manohar P. +4 more
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Shock and Vibration, 2021 The full-waveform inversion (FWI) of a Love wave has become a powerful tool for shallow-surface site characterization. In classic conjugate gradient algorithm- (CG) based FWI, the energy distribution of the gradient calculated with the adjoint state ...
Jianbo Guan, Yu Li, Guohua Liu
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Fast Methods for Solving High Accuracy Surface Modeling
Journal of Algorithms & Computational Technology, 2013 High accuracy surface modeling (HASM) is a novel surface modeling method. The well known preconditioned conjugate gradient (PCG) method is used to solve the equations produced by HASM.
Na Zhao, Tian Xiang Yue
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