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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2015, Volume 286, pp. 186 - 195
In this paper, a conjugate gradient algorithm for systems of large-scale nonlinear equations is designed by the following steps: (i) A three-terms conjugate... 
Conjugate gradient | Nonlinear equations | Global convergence | Large-scale | MATHEMATICS, APPLIED | SUFFICIENT DESCENT PROPERTY | SPARSE | BFGS METHOD | PROJECTION METHOD | SYSTEMS | CONVERGENCE | TRUST-REGION METHOD | POINT | Algorithms | Construction | Searching | Conjugate gradients | Mathematical models | Descent | Convergence
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2014, Volume 255, pp. 86 - 96
The conjugate gradient (CG) method is one of the most popular methods for solving smooth unconstrained optimization problems due to its simplicity and low... 
Conjugate gradient method | Global convergence | Nonmonotone line search | Nonsmooth convex optimization | SCALE UNCONSTRAINED OPTIMIZATION | MATHEMATICS, APPLIED | BFGS-TYPE METHOD | MINIMIZATION | SUFFICIENT DESCENT PROPERTY | BUNDLE METHODS | NEWTON METHOD | GUARANTEED DESCENT | Algorithms
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 09/2012, Volume 236, Issue 15, pp. 3584 - 3590
We propose a parallel implementation of the Preconditioned Conjugate Gradient algorithm on a GPU platform. The preconditioning matrix is an approximate inverse... 
Preconditioned conjugate gradient | Parallel computing | Graphics processor unit | MATHEMATICS, APPLIED | Multiprocessing | Algorithms | Platforms | Approximation | Conjugate gradients | Central processing units | Inverse | Mathematical models | Preconditioning
Journal Article
ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 03/2006, Volume 32, Issue 1, pp. 113 - 137
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2013, Volume 23, Issue 1, pp. 296 - 320
Journal Article
Parallel Computing, ISSN 0167-8191, 07/2014, Volume 40, Issue 7, pp. 224 - 238
•The manuscript presents a highly scalable preconditioned Conjugate Gradient method.•It presents a pipelined preconditioned Conjugate Residual method.•It shows... 
Conjugate gradients | Conjugate residuals | Latency hiding | Global communication | Parallelization | STEP ITERATIVE METHODS | COMPUTER SCIENCE, THEORY & METHODS | KRYLOV SUBSPACE METHODS | COMMUNICATION | Algorithms | Distributed memory | Run time (computers) | Synchronism | Mathematical models | Synchronization | Standards
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 3, pp. A1896 - A1918
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 83 - 91
An adaptive conjugate gradient algorithm is presented. The search direction is computed as the sum of the negative gradient and a vector determined by... 
Condition number of a matrix | Unconstrained optimization | Adaptive conjugate gradient method | Numerical comparisons | MATHEMATICS, APPLIED | GUARANTEED DESCENT | CONVERGENCE | Algorithms | Analysis | Approximation | Searching | Mathematical analysis | Adaptive algorithms | Eigenvalues | Conjugate gradients | Mathematical models
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 11/2016, Volume 64, Issue 22, pp. 6046 - 6057
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2013, Volume 241, Issue 1, pp. 19 - 29
A simple three-term conjugate gradient algorithm which satisfies both the descent condition and the conjugacy condition is presented. This algorithm is a... 
Conjugacy condition | Unconstrained optimization | Three-term conjugate gradient | Descent condition | Numerical comparisons | MATHEMATICS, APPLIED | ASCENT METHODS | MINIMIZATION | PROPERTY | DESCENT | GLOBAL CONVERGENCE | Analysis | Algorithms | Mathematical analysis | Searching | Conjugate gradients | Mathematical models | Descent | Optimization | Standards
Journal Article
Neural Processing Letters, ISSN 1370-4621, 8/2019, Volume 50, Issue 1, pp. 839 - 849
Journal Article