Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Global convergence result for conjugate gradient methods
Journal of Optimization Theory and Applications
A globally convergent version of the Polak-Ribière conjugate gradient method
Mathematical Programming: Series A and B
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
SIAM Journal on Optimization
A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
SIAM Journal on Optimization
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In this paper we consider the global convergence of a new supermemory gradient method for unconstrained optimization problems. New trust region radius is proposed to make the new method converge stably and averagely, and it will be suitable to solve large scale minimization problems. Some global convergence results are obtained under some mild conditions. Numerical results show that this new method is effective and stable in practical computation.