Z. Heng-bin-an, X. Mo, and . Liu, A choice of forcing terms in inexact Newton method, Journal of Comp. and Appl. Math, vol.200, pp.47-60, 2007.

C. G. Broyden, A class of methods for solving nonlinear simultaneous equations, Mathematics of Computation, vol.19, issue.92, pp.577-593, 1965.
DOI : 10.1090/S0025-5718-1965-0198670-6

C. G. Broyden, J. E. Dennis, and J. J. Moré, On the Local and Superlinear Convergence of Quasi-Newton Methods, IMA Journal of Applied Mathematics, vol.12, issue.3, pp.223-245, 1973.
DOI : 10.1093/imamat/12.3.223

R. S. Dembo, C. C. Eisenstat, and T. Steihaug, Inexact Newton Methods, SIAM Journal on Numerical Analysis, vol.19, issue.2, pp.400-408, 1982.
DOI : 10.1137/0719025

R. S. Dembo and T. Steihaug, Truncated-newtono algorithms for large-scale unconstrained optimization, Mathematical Programming, vol.32, issue.2, pp.190-212, 1983.
DOI : 10.6028/jres.049.044

J. E. Dennis and J. J. Moré, Quasi-Newton Methods, Motivation and Theory, SIAM Review, vol.19, issue.1, pp.46-89, 1977.
DOI : 10.1137/1019005

URL : https://hal.archives-ouvertes.fr/hal-01495720

J. E. Dennis and R. B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations, 1983.
DOI : 10.1137/1.9781611971200

G. Golub and C. F. Van-loan, Matrix computations, 1996.

C. T. Kelly, Iterative methods for linear and nonlinear equations, 1995.
DOI : 10.1137/1.9781611970944

C. T. Kelly, Solving nonlinear equations with Newton's method. SIAM, 2003.

D. H. Li and M. Fukushima, Derivative-free line search and global convergence of Broyden-like method for nonlinear equations. Optimization methods and software, pp.181-201, 2001.

J. M. Martinez, Continuous Optimization. The state of art, chapter Algorithms for solving nonlinear systems of equations, pp.81-108, 1994.
URL : https://hal.archives-ouvertes.fr/hal-01378468

J. M. Martinez, Practical quasi-Newton methods for solving nonlinear systems, Journal of Computational and Applied Mathematics, vol.124, issue.1-2, pp.143-167, 2000.
DOI : 10.1016/S0377-0427(00)00434-9

J. J. Moré and M. Y. Cosnard, Numerical Solution of Nonlinear Equations, ACM Transactions on Mathematical Software, vol.5, issue.1, pp.64-85, 1979.
DOI : 10.1145/355815.355820

J. J. Moré, B. S. Garbow, and K. E. Hillstrom, Testing Unconstrained Optimization Software, ACM Transactions on Mathematical Software, vol.7, issue.1, pp.17-41, 1981.
DOI : 10.1145/355934.355936

J. M. Ortega and W. C. Reinboldt, Iterative solution of nonlinear equations in several variables, SIAM, 2000.
DOI : 10.1137/1.9780898719468

B. Van-de-rotten, A LIMITED MEMORY BROYDEN METHOD TO SOLVE HIGH-DIMENSIONAL SYSTEMS OF NONLINEAR EQUATIONS, EQUADIFF 2003, 2003.
DOI : 10.1142/9789812702067_0021

B. Van-de-rotten and S. M. , A LIMITED MEMORY BROYDEN METHOD TO SOLVE HIGH-DIMENSIONAL SYSTEMS OF NONLINEAR EQUATIONS, EQUADIFF 2003, 2003.
DOI : 10.1142/9789812702067_0021