Block Preconditioning for the Conjugate Gradient Method [PDF]
SIAM Journal on Scientific and Statistical Computing, 1985 Different block preconditionings for the conjugate gradient methods are investigated for solving positive definite block tridiagonal systems. These preconditionings are based on different sparse approximate matrix inverses. The proposed methods are compared with other well-known preconditionings as for example the point incomplete Cholesky ...
Concus, P., Golub, G.H., Meurant, G.
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A New Spectral Conjugate Gradient method for solving unconstrained Optimization problems [PDF]
مجلة ابحاث كلية التربية الاساسية, 2022 The spectral conjugate gradient methods are fascinating, and it has been shown that they are useful for strictly convex quadratic reduction when used properly.
أسامة محمد طاهر ویس +2 more
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Comparison Between Steepest Descent Method and Conjugate Gradient Method by Using Matlab
Journal of Studies in Science and Engineering, 2021 The Steepest descent method and the Conjugate gradient method to minimize nonlinear functions have been studied in this work. Algorithms are presented and implemented in Matlab software for both methods.
Dana Taha Mohammed Salih +1 more
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Optimal CD-DY Conjugate Gradient Methods with Sufficient Descent [PDF]
المجلة العراقية للعلوم الاحصائية, 2013 Conjugate Gradient (CG) methods are widely used for large scale unconstrained optimization problems. Most of CG-methods don’t always generate a descent search direction, so the descent condition is usually assumed in the analysis and implementations.
Abbas Y. Al-Bayati, Hawraz N. Al-Khayat
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Three-terms conjugate gradient algorithm based on the Dai-Liao and the Powell symmetric methods [PDF]
Kirkuk Journal of Science, 2017 Based on the Dai-Laio and Powell symmetric methods, we developed a new three – term conjugate gradient method for solving large-scale unconstrained optimization problem.
Prof. Khalil K. Abbo, Aynur J. Namik
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The implementation of conjugate gradient methods for data fitting
Data Analytics and Applied Mathematics, 2023 The conjugate gradient (CG) method is widely used to solve the unconstrained optimization problem by finding the optimal solution. This problem can be solved by an iterative method.
NORHASLINDA ZULL PAKKAL +6 more
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Two efficient modifications of AZPRP conjugate gradient method with sufficient descent property
Journal of Inequalities and Applications, 2022 The conjugate gradient method can be applied in many fields, such as neural networks, image restoration, machine learning, deep learning, and many others.
Zabidin Salleh +2 more
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On Meinardus’ examples for the conjugate gradient method [PDF]
Mathematics of Computation, 2007 The conjugate gradient (CG) method is widely used to solve a positive definite linear system A x = b
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Two New Conjugate Gradient Methods for Unconstrained Optimization
Complexity, 2020 The conjugate gradient method is very effective in solving large-scale unconstrained optimal problems. In this paper, on the basis of the conjugate parameter of the conjugate descent (CD) method and the second inequality in the strong Wolfe line search ...
Meixing Liu, Guodong Ma, Jianghua Yin
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A Modified Hybrid Conjugate Gradient Method for Unconstrained Optimization
Journal of Mathematics, 2021 The nonlinear conjugate gradient algorithms are a very effective way in solving large-scale unconstrained optimization problems. Based on some famous previous conjugate gradient methods, a modified hybrid conjugate gradient method was proposed.
Minglei Fang +3 more
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