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Pseudoinversus and Conjugate Gradients
Communications of the ACM, 1975This paper is devoted to the study of connections between pseudoinverses of matrices and conjugate gradients and conjugate direction routines.
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A New Class of Nonlinear Conjugate Gradient Coefficients With Global Convergence Properties
Applied Mathematics and Computation, 2012Mohd Rivaie, Ismail Mohd
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Analysis on the Conjugate Gradient Method
Optimization Methods and Software, 1993Ya-Xiang Yuan
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A new smoothing modified three-term conjugate gradient method for l1 $l_{1}$-norm minimization problem [PDF]
Journal of Inequalities and Applications, 2018 We consider a kind of nonsmooth optimization problems with l1 $l_{1}$-norm minimization, which has many applications in compressed sensing, signal reconstruction, and the related engineering problems.
Shouqiang Du, Miao Chen
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Dai-Kou type conjugate gradient methods with a line search only using gradient [PDF]
Journal of Inequalities and Applications, 2017 In this paper, the Dai-Kou type conjugate gradient methods are developed to solve the optimality condition of an unconstrained optimization, they only utilize gradient information and have broader application scope.
Yuanyuan Huang, Changhe Liu
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A hybrid conjugate gradient algorithm for constrained monotone equations with application in compressive sensing [PDF]
Heliyon, 2020 Combining the projection method of Solodov and Svaiter with the Liu-Storey and Fletcher Reeves conjugate gradient algorithm of Djordjević for unconstrained minimization problems, a hybrid conjugate gradient algorithm is proposed and extended to solve ...
Abdulkarim Hassan Ibrahim +4 more
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Conjugate gradient algorithm and fractals [PDF]
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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Nonlinear conjugate gradient methods in micromagnetics
AIP Advances, 2017 Conjugate gradient methods for energy minimization in micromagnetics are compared. The comparison of analytic results with numerical simulation shows that standard conjugate gradient method may fail to produce correct results. A method that restricts the
J. Fischbacher +11 more
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A Combined Conjugate Gradient Quasi-Newton Method with Modification BFGS Formula
International Journal of Analysis and Applications, 2023 The conjugate gradient and Quasi-Newton methods have advantages and drawbacks, as although quasi-Newton algorithm has more rapid convergence than conjugate gradient, they require more storage compared to conjugate gradient algorithms.
Mardeen Sh. Taher, Salah G. Shareef
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