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Monotonicity and restart in fast gradient methods
flat gradient algorithm oscillation values
2015/8/7
Fast gradient methods are known to be non-monotone algorithms, and oscillations typically occur around the solution. To avoid this behavior, we propose in this paper a fast gradient method with restar...
First order optimization methods often perform poorly on ill-conditioned optimization problems. However, by preconditioning the problem data and solving the preconditioned problem, the performance of ...
Monotonicity and Restart in Fast Gradient Methods
Monotonicity Restart Fast Gradient Methods
2015/7/9
Fast gradient methods are known to be non-monotone algorithms, and oscillations typically occur around the solution. To avoid this behavior, we propose in this paper a fast gradient method with restar...
First order optimization methods often perform poorly on ill-conditioned optimization problems. However, by preconditioning the problem data and solving the preconditioned problem, the performance of ...
Rhyzopus oryzae Endopolygalacturonase and Borago officinalis Polyphenol Oxidase Thermostability, Isothermal and Thermal Gradient Methods
Borago officinalis polyphenol oxidase endopolygalacturonase heat inactivation
2008/10/26
Heat stability of two major enzymes in vegetable processing, such as endopolygalacturonase from Rhyzopus oryzae and polyphenoloxidase from Borago officinalis, has been calculated. Isothermal and nonis...
We consider solving integral equations of the second kind
defined on the half-line $[0,\infty)$ by the preconditioned
conjugate gradient method. Convergence is known to be
slow due to the non-compa...
Convergence Properties of the Dependent PRP Conjugate Gradient Methods
Conjugate gradient convergence property line search
2007/12/11
In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient ...
Two Armijo-type line searches are proposed in this paper for nonlinear conjugate gradient methods. Under these line searches, global convergence results are established for several famous conjugate gr...
Convergence Properties of the Dependent PRP Conjugate Gradient Methods
Conjugate gradient convergence property
2007/8/7
In this paper, a new region of βk with respect to βkPRP is given. With two Armijo-type line searches, the authors investigate the global convergence properties of the dependent PRP conjugate gradient ...
CONVERGENCE PROPERTIES OF CONJUGATE GRADIENT METHODS WITH STRONG WOLFE LINESEARCH
Conjugate gradient algorithms global co
2007/8/7
In this paper, we investigate the convergence property of the conjugate gradient algorithms which depend on the search directionsd_1=-g_1, d_{k+1}=-g_{k+1}+\beta_k d_k ,k\geq 1, by using different cho...
ORDERING METHODS FOR PRECONDITIONED CONJUGATE GRADIENT METHODS APPLIED TO UNSTRUCTURED GRID PROBLEMS
ordering method preconditioned conjugate gradient method
2007/3/28
It is well known that the ordering of the unknowns can have a signicant eect on the convergence of Preconditioned Conjugate Gradient (PCG) methods. There has been considerable experimental work on the...
Rhyzopus oryzae Endopolygalacturonase and Borago officinalis Polyphenol Oxidase Thermostability, Isothermal and Thermal Gradient Methods
oryzae Endopolygalacturonase Borago officinalis Polyphenol Oxidase
2016/5/27
Heat stability of two major enzymes in vegetable processing, such as endopolygalacturonase from Rhyzopus oryzae and polyphenoloxidase from Borago officinalis, has been calculated. Isothermal and nonis...