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Periodically preconditioned conjugate gradient-restoration algorithm
Journal of Optimization Theory and Applications, 1991An algorithm for the general nonliner constrained optimization problem is developed. This algorithm consists of a sequence of conjugate gradient- restoration cycles. The conjugate gradient portion of each cycle is based upon a conjugate gradient algorithm that is derived for the special case of a quadratic function subject to linear constraints.
Cloutier, J. R., Wilson, R. F.
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An efficient algebraic multigrid preconditioned conjugate gradient solver
Computer Methods in Applied Mechanics and Engineering, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Iwamura, Chihiro +4 more
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Preconditioned conjugate gradient methods for adaptive filtering
1991 IEEE International Symposium on Circuits and Systems (ISCAS), 1991The method of preconditioned conjugate gradients (PCGs) is proposed for solving the problem of adaptive filtering. Considered as an iterative algorithm, the PCG algorithm is asymptotically efficient. It is suggested for use in applications requiring very high order adaptive filters.
A.W. Hull, W.K. Jenkins
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Image restoration with precondition conjugate gradient method
2014 7th International Congress on Image and Signal Processing, 2014Image restoration can be attributed to solving a linear systems and conjugate gradient method is an effective iteration algorithm for solving various linear systems. However the convergence rate of CGM is determined by condition number of coefficient matrix.
Bin Zhang, Ling Meng
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Conjugate Gradient Methods Memoryless BFGS Preconditioned
2020Conjugate gradient methods are widely acknowledged to be among the most efficient and robust methods for solving the large-scale unconstrained nonlinear optimization ...
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Preconditioned Conjugate Gradient Algorithms for Homotopy CurveTracking
2013These are alogorithms for finding zeros or fixed points of nonlinear systems of equations that are globally convergent for almost all starting points, i.e., with probability one. The essence of all such algorithms is the construction of an appropriate homotopy map and then tracking some smooth curve in the zero set of this homotopy map.
Irani, Kashmira M. +4 more
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Moving force identification based on modified preconditioned conjugate gradient method
Journal of Sound and Vibration, 2018Zhen Chen, Tommy Chan, Andy Nguyen
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Scalable Non-blocking Preconditioned Conjugate Gradient Methods
SC16: International Conference for High Performance Computing, Networking, Storage and Analysis, 2016Paul R. Eller, William Gropp
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