Local–Global Minimum Property in Unconstrained Minimization Problems
نویسندگان
چکیده
منابع مشابه
Local-Global Minimum Property in Unconstrained Minimization Problems
The main goal of this paper is to prove some new results and extend some earlier ones about functions, which possess the so called local-global minimum property. In the last section, we show an application of these in the theory of calculus of variations.
متن کاملA regularized limited-memory BFGS method for unconstrained minimization problems
The limited-memory BFGS (L-BFGS) algorithm is a popular method of solving large-scale unconstrained minimization problems. Since LBFGS conducts a line search with the Wolfe condition, it may require many function evaluations for ill-posed problems. To overcome this difficulty, we propose a method that combines L-BFGS with the regularized Newton method. The computational cost for a single iterat...
متن کاملDescent heuristics for unconstrained minimization
Semidefinite relaxations often provide excellent starting points for nonconvex problems with multiple local minimizers. This work aims to find a local minimizer within a certain neighborhood of the starting point and with a small objective value. Several approaches are motivated and compared with each other.
متن کاملAdaptive matrix algebras in unconstrained minimization
Article history: Received 8 August 2014 Accepted 9 January 2015 Available online 30 January 2015 Submitted by R. Brualdi MSC: 65K10 90C53 47J25
متن کاملUnconstrained Convex Minimization in Relative Scale
In this paper we present a new approach to constructing schemes for unconstrained convex minimization, which compute approximate solutions with a certain relative accuracy. This approach is based on a special conic model of the unconstrained minimization problem. Using a structural model of the objective function we can employ the efficient smoothing technique. The fastest of our algorithms sol...
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: Journal of Optimization Theory and Applications
سال: 2013
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-013-0432-3