Results 101 to 110 of about 162 (141)

A Derivative-Free Line Search and Global Convergence of Broyden-Like Method for Nonlinear Equations

open access: yes, 1999
In this paper, by using derivative-free line search, we propose quasi-Newton methods for smooth nonlinear equations. Under appropriate conditions, we show that the proposed quasi-Newton methods converge globally and superlinearly.
Dong-hui Li, Masao Fukushima
core  

Global search based on efficient diagonal partitions and a set of Lipschitz constants

open access: yes, 2006
. In the paper, the global optimization problem of a multidimensional “black-box” function satisfying the Lipschitz condition over a hyperinterval with an unknown Lipschitz constant is considered.
Yaroslav D. Sergeyev, Dmitri, E. Kvasov
core  

Trust Region Affine Scaling Algorithms for Linearly Constrained Convex and Concave Programs

open access: yes, 1996
We study a trust region affine scaling algorithm for solving the linearly constrained convex or concave programming problem. Under primal nondegeneracy assumption, we prove that every accumulation point of the sequence generated by the algorithm ...
Yanhui Wang, Renato D.C. Monteiro
core  

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