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Spectral CG Algorithm for Solving Fuzzy Non-linear Equations
Iraqi Journal for Computer Science and Mathematics, 2022 The non-linear conjugate gradient method is a very effective technique for addressing Large-Scale minimization problems, and it has a wide range of applications in Mathematics, Chemistry, Physics, Engineering, and Medicine, etc.
Mezher M. Abed +2 more
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Predict-and-Recompute Conjugate Gradient Variants [PDF]
SIAM 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
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Conjugate Gradient Methods for Toeplitz Systems [PDF]
SIAM Review, 1996 The use of preconditioned conjugate gradient methods to solve linear systems of equations with Toeplitz matrices is discussed. Using this iterative method, the complexity is reduced from \(O(n\log^2n)\) operations for fast direct Toeplitz solvers to \(O(n \log n)\).
Raymond H. Chan, Michael K. Ng 0001
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Academic Science JournalThis paper considers the steepest descent algorithm (SD) and the conjugate gradient algorithm (CG) with a new parameter to minimize nonlinear unconstrained problems. We improve a new parameter for the conjugate gradient algorithm (CG).
Huda Habeeb +1 more
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A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods
Abstract and Applied Analysis, 2014 The conjugate gradient method is an efficient method for solving large-scale nonlinear optimization problems. In this paper, we propose a nonlinear conjugate gradient method which can be considered as a hybrid of DL and WYL conjugate gradient methods ...
Shengwei Yao, Bin Qin
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Hybrid Particle Swarm and Conjugate Gradient Optimization in Neural Network for Prediction of Suspended Particulate Matter [PDF]
E3S Web of Conferences, 2019 The scope of this research is the use of artificial neural network models and meta-heuristic optimization of Particle Swarm Optimization (PSO) for the prediction of ambient air pollution parameter data at air quality monitoring stations in the city of ...
Warsito Budi +3 more
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An Accelerated Riemannian Conjugate Gradient Method Based on the Barzilai–Borwein Technique
MathematicsThis paper proposes an accelerated Riemannian conjugate gradient method based on the Barzilai-Borwein (BB) technique, termed ABBSRCG, for unconstrained optimization on Riemannian manifolds. Building upon classical Riemannian conjugate gradient frameworks,
Ziyin Ma, Tao Yan, Shimin Zhao
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The rate of convergence of Conjugate Gradients
Numerische Mathematik, 1986 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SLUIS, A. van der, Vorst, H.A. van der
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A Deflated Version of the Conjugate Gradient Algorithm [PDF]
SIAM Journal on Scientific Computing, 2000 A deflated version of the conjugate gradient algorithm is presented for solving linear systems. The algorithm is useful when a small number of eigenvalues of the iteration matrix are very close to the origin and in cases when multiple right-hand sides are present.
Saad, Y. +3 more
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Conjugate gradient algorithm and fractals
Discrete Dynamics in Nature and Society, 2006 This work is an extension of the survey on Cayley's problem in case where the conjugate gradient method is used. We show that for certain values of parameters, this method produces beautiful fractal structures.
Mohamed Lamine Sahari, Ilhem Djellit
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