Nonmonotone spectral method for large-scale symmetric nonlinear equations
作者： Wanyou Cheng , Zixin Chen
DOI: 10.1007/S11075-012-9572-Z
关键词:
摘要: … method for solving symmetric nonlinear equations. We then establish its global convergence in … Based on the CBB method, we implemented Algorithm 2.1 with an easy version of the …
springer.com
researchgate.net 
sci-hub.se 参考文章(31)
Yu-Hong Dai, Hongchao Zhang, Adaptive Two-Point Stepsize Gradient Algorithm Numerical Algorithms. ,vol. 27, pp. 377- 385 ,(2001) , 10.1023/A:1013844413130
J. E. Dennis, Robert B. Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16) Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16). ,(1996)
José Mario Martı́nez, Practical quasi-Newton methods for solving nonlinear systems Journal of Computational and Applied Mathematics. ,vol. 124, pp. 97- 121 ,(2000) , 10.1016/S0377-0427(00)00434-9
Ernesto G Birgin, Nataša Krejić, José Mario Martínez, Globally convergent inexact quasi-Newton methods for solving nonlinear systems Numerical Algorithms. ,vol. 32, pp. 249- 260 ,(2003) , 10.1023/A:1024013824524
C. G. Broyden, A Class of Methods for Solving Nonlinear Simultaneous Equations Mathematics of Computation. ,vol. 19, pp. 577- 593 ,(1965) , 10.1090/S0025-5718-1965-0198670-6
Peter N. Brown, Youcef Saad, Convergence Theory of Nonlinear Newton–Krylov Algorithms Siam Journal on Optimization. ,vol. 4, pp. 297- 330 ,(1994) , 10.1137/0804017
Li Zhang, Weijun Zhou, Dong-Hui Li, A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence Ima Journal of Numerical Analysis. ,vol. 26, pp. 629- 640 ,(2006) , 10.1093/IMANUM/DRL016
José Mario Martínez, A family of quasi-Newton methods for nonlinear equations with direct secant updates of matrix factorizations SIAM Journal on Numerical Analysis. ,vol. 27, pp. 1034- 1049 ,(1990) , 10.1137/0727061
Guang-Ze Gu, Dong-Hui Li, Liqun Qi, Shu-Zi Zhou, Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations SIAM Journal on Numerical Analysis. ,vol. 40, pp. 1763- 1774 ,(2002) , 10.1137/S0036142901397423
Maria Grazia Gasparo, A nonmonotone hybrid method for nonlinear systems Optimization Methods & Software. ,vol. 13, pp. 79- 94 ,(2000) , 10.1080/10556780008805776