A family of conjugate gradient methods for large-scale nonlinear equations

Journal of inequalities and applications

Dexiang Feng¹ 

关键词: nonlinear equations;    conjugate gradient method;    projection method;    global convergence;    90C25;    94A08;   

DOI  :  10.1186/s13660-017-1510-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we present a family of conjugate gradient projection methods for solving large-scale nonlinear equations. At each iteration, it needs low storage and the subproblem can be easily solved. Compared with the existing solution methods for solving the problem, its global convergence is established without the restriction of the Lipschitz continuity on the underlying mapping. Preliminary numerical results are reported to show the efficiency of the proposed method.

【 授权许可】

CC BY