A Globally Convergence Spectral Conjugate Gradient Method for Solving Unconstrained Optimization Problems [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 In this paper, a modified spectral conjugate gradient method for solving unconstrained optimization problems is studied, which has sufficient descent direction and global convergence with an inexact line searches. The Fletcher-Reeves restarting criterion
Basim Hassan
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Anew Conjugate Gradient Algorithm Based on The (Dai-Liao) Conjugate Gradient Method
Tikrit Journal of Pure Science, 2020 In this paper we can derive a new search direction of conjugating gradient method associated with (Dai-Liao method ) the new algorithm becomes converged by assuming some hypothesis.
SHAHER QAHTAN HUSSEIN +2 more
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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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An accelerated conjugate gradient method for the Z-eigenvalues of symmetric tensors
AIMS Mathematics, 2023 We transform the Z-eigenvalues of symmetric tensors into unconstrained optimization problems with a shifted parameter. An accelerated conjugate gradient method is proposed for solving these unconstrained optimization problems.
Mingyuan Cao +3 more
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A Three-Term Conjugate Gradient Method with Sufficient Descent Property for Unconstrained Optimization [PDF]
, 2011 Conjugate gradient methods are widely used for solving large-scale unconstrained optimization problems, because they do not need the storage of matrices.
Hager W. W. +4 more
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A conjugate gradient minimisation approach to generating holographic traps for ultracold atoms [PDF]
, 2014 Direct minimisation of a cost function can in principle provide a versatile and highly controllable route to computational hologram generation. However, to date iterative Fourier transform algorithms have been predominantly used.
Bruce, Graham D. +3 more
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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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A Dai-Liao-type projection method for monotone nonlinear equations and signal processing
Demonstratio Mathematica, 2022 In this article, inspired by the projection technique of Solodov and Svaiter, we exploit the simple structure, low memory requirement, and good convergence properties of the mixed conjugate gradient method of Stanimirović et al.
Ibrahim Abdulkarim Hassan +4 more
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Direct numerical simulation of turbulence on a Connection Machine CM-5 [PDF]
, 1995 In this paper we report on our first experiences with direct numerical simulation of turbulent flow on a 16-node Connection Machine CM-5. The CM-5 has been programmed at a global level using data parallel Fortran.
A.E.P. Veldman +9 more
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International 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
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