A New Conjugate Gradient Method with Exact Line Search
نویسندگان
چکیده
منابع مشابه
The Gradient Projection Method with Exact Line Search
The gradient projection algorithm for function minimization is often implemented using an approximate local minimization along the projected negative gradient. On the other hand, for some difficult combinational optimization problems, where a starting guess may be far from a solution, it may be advantageous to perform a nonlocal (exact) line search. In this paper we show how to evaluate the pie...
متن کاملA New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
A new nonlinear conjugate gradient method and an associated implementation, based on an inexact line search, are proposed and analyzed. With exact line search, our method reduces to a nonlinear version of the Hestenes–Stiefel conjugate gradient scheme. For any (inexact) line search, our scheme satisfies the descent condition gT kdk ≤ − 7 8 ‖gk‖. Moreover, a global convergence result is establis...
متن کاملA Conjugate Gradient Method with Strong Wolfe-Powell Line Search for Unconstrained Optimization
In this paper, a modified conjugate gradient method is presented for solving large-scale unconstrained optimization problems, which possesses the sufficient descent property with Strong Wolfe-Powell line search. A global convergence result was proved when the (SWP) line search was used under some conditions. Computational results for a set consisting of 138 unconstrained optimization test probl...
متن کاملA conjugate Rosen’s gradient projection method with global line search for piecewise linear optimization∗
The Kelley cutting plane method is one of the methods commonly used to optimize the dual function in the Lagrangian relaxation scheme. Usually the Kelley cutting plane method uses the simplex method as the optimization engine. It is well known that the simplex method leaves the current vertex, follows an ascending edge and stops at the nearest vertex. What would happen if one would continue the...
متن کاملNonlinear Conjugate Gradient Methods with Wolfe Type Line Search
and Applied Analysis 3 = ‖d k−1 ‖2 ‖g k−1 ‖4 + 1 ‖g k ‖2 − β2 k (gT k d k−1 ) 2 /‖g k ‖4
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: International Journal of Engineering & Technology
سال: 2018
ISSN: 2227-524X
DOI: 10.14419/ijet.v7i4.33.28167