A Hybrid of DL and WYL Nonlinear Conjugate Gradient Methods
نویسندگان
چکیده
منابع مشابه
A Survey of Nonlinear Conjugate Gradient Methods
This paper reviews the development of different versions of nonlinear conjugate gradient methods, with special attention given to global convergence properties.
متن کاملConvergence Properties of Nonlinear Conjugate Gradient Methods
Recently, important contributions on convergence studies of conjugate gradient methods have been made by Gilbert and Nocedal [6]. They introduce a “sufficient descent condition” to establish global convergence results, whereas this condition is not needed in the convergence analyses of Newton and quasi-Newton methods, [6] hints that the sufficient descent condition, which was enforced by their ...
متن کاملOn nonlinear generalized conjugate gradient methods
where F (ξ) is a nonlinear operator from a real Euclidean space of dimension n or Hilbert space into itself. The Euclidean norm and corresponding inner product will be denoted by ‖·‖1 and (·, ·)1 respectively. A general different inner product with a weight function and the corresponding norm will be denoted by (·, ·)0 and ‖ · ‖ respectively. In the first part of this article (Sects. 2 and 3) w...
متن کاملApplication of frames in Chebyshev and conjugate gradient methods
Given a frame of a separable Hilbert space $H$, we present some iterative methods for solving an operator equation $Lu=f$, where $L$ is a bounded, invertible and symmetric operator on $H$. We present some algorithms based on the knowledge of frame bounds, Chebyshev method and conjugate gradient method, in order to give some approximated solutions to the problem. Then we i...
متن کاملA new hybrid conjugate gradient algorithm for unconstrained optimization
In this paper, a new hybrid conjugate gradient algorithm is proposed for solving unconstrained optimization problems. This new method can generate sufficient descent directions unrelated to any line search. Moreover, the global convergence of the proposed method is proved under the Wolfe line search. Numerical experiments are also presented to show the efficiency of the proposed algorithm, espe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2014
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2014/279891