On the Convergence Rate of Variants of the Conjugate Gradient Algorithm in Finite Precision Arithmetic

SIAM Journal on Scientific Computing ◽

10.1137/20m1346249 ◽

2021 ◽

pp. S496-S515

Author(s):

Anne Greenbaum ◽

Hexuan Liu ◽

Tyler Chen

Keyword(s):

Convergence Rate ◽

Conjugate Gradient ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Finite Precision ◽

Finite Precision Arithmetic

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Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems

Mathematics of Computation ◽

10.1090/s0025-5718-99-01171-0 ◽

1999 ◽

Vol 69 (232) ◽

pp. 1559-1576 ◽

Author(s):

Charles H. Tong ◽

Qiang Ye

Keyword(s):

Linear Systems ◽

Conjugate Gradient ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Finite Precision ◽

Nonsymmetric Linear Systems

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Chaotic particle swarm optimization algorithm based on nonlinear conjugate gradient algorithm

Journal of Computer Applications ◽

10.3724/sp.j.1087.2009.03273 ◽

2010 ◽

Vol 29 (12) ◽

pp. 3273-3276

Author(s):

Hong-an CHEN ◽

Ying-jie ZHANG ◽

Jian-hui WU

Keyword(s):

Particle Swarm Optimization ◽

Optimization Algorithm ◽

Conjugate Gradient ◽

Particle Swarm Optimization Algorithm ◽

Particle Swarm ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Swarm Optimization ◽

Nonlinear Conjugate Gradient ◽

Chaotic Particle Swarm Optimization

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Robust Cauchy Kernel Conjugate Gradient Algorithm for Non-Gaussian Noises

IEEE Signal Processing Letters ◽

10.1109/lsp.2021.3081381 ◽

2021 ◽

pp. 1-1

Author(s):

Letian Qi ◽

Minglin Shen ◽

Daili Wang ◽

Shiyuan Wang

Keyword(s):

Conjugate Gradient ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Cauchy Kernel ◽

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On q-variant of Dai–Yuan conjugate gradient algorithm for unconstrained optimization problems

Nonlinear Dynamics ◽

10.1007/s11071-021-06378-3 ◽

2021 ◽

Author(s):

Shashi Kant Mishra ◽

Mohammad Esmael Samei ◽

Suvra Kanti Chakraborty ◽

Bhagwat Ram

Keyword(s):

Unconstrained Optimization ◽

Conjugate Gradient ◽

Optimization Problems ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Unconstrained Optimization Problems

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Smoothing Strategy Along with Conjugate Gradient Algorithm for Signal Reconstruction

Journal of Scientific Computing ◽

10.1007/s10915-021-01440-z ◽

2021 ◽

Vol 87 (1) ◽

Author(s):

Caiying Wu ◽

Jing Wang ◽

Jan Harold Alcantara ◽

Jein-Shan Chen

Keyword(s):

Conjugate Gradient ◽

Signal Reconstruction ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm

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The modified PRP conjugate gradient algorithm under a non-descent line search and its application in the Muskingum model and image restoration problems

Soft Computing ◽

10.1007/s00500-021-05580-0 ◽

2021 ◽

Author(s):

Gonglin Yuan ◽

Junyu Lu ◽

Zhan Wang

Keyword(s):

Image Restoration ◽

Conjugate Gradient ◽

Line Search ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Muskingum Model ◽

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The Research of New Black Box Control Method Based on Conjugate Gradient Algorithm

2019 International Conference on Sensing, Diagnostics, Prognostics, and Control (SDPC) ◽

10.1109/sdpc.2019.00065 ◽

2019 ◽

Author(s):

Weiwei Ma ◽

Yong Zhou ◽

Jiakuan Gao

Keyword(s):

Conjugate Gradient ◽

Control Method ◽

Black Box ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm

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A gradient projection conjugate gradient algorithm for Bayesian PET reconstruction

Proceedings of 1994 IEEE Nuclear Science Symposium - NSS'94 ◽

10.1109/nssmic.1994.474607 ◽

2002 ◽

Author(s):

E.U. Mumcuoglu ◽

R. Leahy

Keyword(s):

Conjugate Gradient ◽

Gradient Projection ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Pet Reconstruction

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A self correcting conjugate gradient algorithm

International Journal of Computer Mathematics ◽

10.1080/00207167808803149 ◽

1978 ◽

Vol 6 (4) ◽

pp. 327-333 ◽

Author(s):

Avinoam Perry

Keyword(s):

Conjugate Gradient ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm

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The constrained generalized data windowing conjugate gradient algorithm

2008 IEEE 9th Workshop on Signal Processing Advances in Wireless Communications ◽

10.1109/spawc.2008.4641656 ◽

2008 ◽

Author(s):

Jose A. Apolinario ◽

Marcello L. R. de Campos

Keyword(s):

Conjugate Gradient ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm

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