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Generalized conjugate gradient squared
Journal of Computational and Applied Mathematics, 1996 A generalized conjugate gradient squared method for solving nonsymmetric linear systems of equations is proposed. Instead of squaring the Bi-CG polynomial as in the conjugate gradient squared (CGS) method, the authors use a product of two nearby Bi-CG polynomials.
Fokkema, D.R. +2 more
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Implementing the conjugate gradient algorithm on multi-core systems [PDF]
, 2007 In linear solvers, like the conjugate gradient algorithm, sparse-matrix vector multiplication is an important kernel. Due to the sparseness of the matrices, the solver runs relatively slow.
Bakker, V. +3 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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Two modified hybrid conjugate gradient methods based on a hybrid secant equation
Mathematical Modelling and Analysis, 2013 Taking advantage of the attractive features of Hestenes–Stiefel and Dai–Yuan conjugate gradient methods, we suggest two globally convergent hybridizations of these methods following Andrei's approach of hybridizing the conjugate gradient parameters ...
Saman Babaie-Kafaki, Nezam Mahdavi-Amiri
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New conjugacy condition with pair-conjugate gradient methods for unconstrained optimization [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2009 Conjugate gradient methods are wildly used for unconstrained optimization especially when the dimension is large. In this paper we propose a new kind of nonlinear conjugate gradient methods which on the study of Dai and Liao (2001), the new idea is how ...
Abbas Al-Bayati, Huda Ahmed
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SIAM Journal on Scientific Computing, 2000 The author discusses the conjugate gradient method for the numerical solution of a linear large sparse system, using preconditioning technique. To maintain the optimal convergence properties of the method, the author considers a variant of the conjugate gradient method (called flexible conjugate gradient) that performs an explicit orthogonalization of ...
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Reducing Impulse Noise in Images Using an Improved Formula Conjugate Gradient Method
Zanco Journal of Pure and Applied SciencesThe conjugate formula's significance is frequently emphasised by conjugate gradient approaches. In this paper, a novel conjugate coefficient for the conjugate gradient technique is introduced using a quadratic model and conjugacy condition.
Basim A. Hassan, Yousif Ali Mohammed
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Nonlinear Conjugate Gradient Methods with Wolfe Type Line Search
Abstract and Applied Analysis, 2013 Nonlinear conjugate gradient method is one of the useful methods for unconstrained optimization problems. In this paper, we consider three kinds of nonlinear conjugate gradient methods with Wolfe type line search for unstrained optimization problems ...
Yuan-Yuan Chen, Shou-Qiang Du
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Fourier domain preconditioned conjugate gradient algorithm for atmospheric tomography [PDF]
, 2006 By 'atmospheric tomography' we mean the estimation of a layered atmospheric turbulence profile from measurements of the pupil-plane phase (or phase gradients) corresponding to several different guide star directions.
Ellerbroek, Brent L. +2 more
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Algorithm for Scaling Variables in Minimization Methods
AlgorithmsEliminating poor scaling of variables of minimized functions is a pressing issue in solving high-dimensional minimization problems where it is impossible to use methods that change the metric of the space with full-scale metric matrices.
Elena Tovbis +2 more
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