A three-term projection method based on spectral secant equation for nonlinear monotone equations

被引：0
作者：
N. Zhang
J. K. Liu
B. Tang
机构：
[1] Chongqing Three Gorges University,College of Mathematics and Statistics
来源：
Japan Journal of Industrial and Applied Mathematics | 2024年 / 41卷
关键词：
Nonlinear equations; Projection technique; Global convergence; Signal recovery;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose a three-term derivative-free projection algorithm for handling large-scale nonlinear monotone equations with convex constrained. The search direction generated by the proposed algorithm satisfies sufficient descent condition at every iteration. Under some suitable conditions, the global convergence of the algorithm is established. Numerical experiments are provided to show the algorithm is promising and competitive for solving monotone nonlinear equations. In addition, we applied the algorithm to solve signal processing problem arising from compressive sensing.
引用
收藏
页码：617 / 635
页数：18
相关论文
共 94 条
[1]  
Meintjes K(1990)Chemical equilibrium systems as numerical test problems ACM Trans. Math. Softw. 16 143-151
[2]  
Morgan AP(2016)Optimal power flow as a polynomial optimization problem IEEE Trans. Power Syst. 31 539-546
[3]  
Ghaddar B(2011)Non-smooth equations based methods for Nonlinear Anal. Theory Methods Appl. 74 3570-3577
[4]  
Marecek J(2001)-norm problems with applications to compressed sensing SIAM J. Optim. 11 962-973
[5]  
Mevissen M(2005)Monotonicity of fixed point and normal mappings associated with variational inequality and its application J. Optim. Theory. Appl. 125 205-221
[6]  
Xiao YH(1999)Superline convergence of a Newton-type algorithm for monotone equations SIAM. J. Numer. Anal. 37 152-172
[7]  
Wang QY(2020)A globally and superlinearly convergent Gauss-Newton based BFGS method for symmetric equations J. Comput. Appl. Math. 367 765-776
[8]  
Hu QJ(1999)A modified BFGS type quasi-Newton method with line search for symmetric nonlinear equations problems SIAM J. Control Optim. 37 245-262
[9]  
Zhao YB(2018)A new projection method for variational inequality problems Numer. Algorithm 82 177-182
[10]  
Li D(1999)A derivative-free iterative method for nonlinear monotone equations with convex constraints SIAM J. Optim. 10 211-231
12345678910