[1] D. Li and M. Fukushima, “A Global And Superlinear Convergent Gauss-Newton-based BFGS Method for Symmetric Nonlinear Equations,” SIAM Journal on Numerical Analysis, Vol. 37, No. 1, 1999, pp. 152-172.
[2] Z. Wei, G. Yuan and Z. Lian, “An Approximate Gauss- Newton-Based BFGS Method for Solving Symmetric Nonlinear Equations,” Guangxi Sciences, Vol. 11, No. 2, 2004, pp. 91-99.
[3] G. Yuan and X. Li, “An Approximate Gauss-Newton- based BFGS Method with Descent Directions for Solving Symmetric Nonlinear Equations,” OR Transactions, Vol. 8, No. 4, 2004, pp. 10-26.
[4] P. N. Brown and Y. Saad, “Convergence Theory of Nonlinear Newton-Krylov Algorithms,” SIAM Journal on Optimization, Vol. 4, 1994, pp. 297-330.
[5] D. Zhu, “Nonmonotone Backtracking Inexact Quasi-Newton Algorithms for Solving Smooth Nonlinear Equations,” Applied Mathematics and Computation, Vol. 161, No. 3, 2005, pp. 875-895.
[6] G. Yuan and X. Lu, “A New Backtracking Inexact BFGS Method for Symmetric Nonlinear Equations,” Computers and Mathematics with Applications, Vol. 55, No. 1, 2008, pp. 116-129.
[7] S. G. Nash, “A Survey of Truncated-Newton Methods,” Journal of Computational and Applied Mathematics, Vol. 124, No. 1-2, 2000, pp. 45-59.
[8] A. Griewank, “The ‘Global’ Convergence of Broyden- Like Methods with a Suitable Line Search,” Journal of the Australian Mathematical Society Series B, Vol. 28, No. 1, 1986, pp. 75-92.
[9] A. R. Conn, N. I. M. Gould and P. L. Toint, “Trust Region Method,” Society for Industrial and Applied Mathe- matics, Philadelphia, 2000.
[10] J. E. Dennis and R. B. Schnabel, “Numerical Methods for Unconstrained Optimization and Nonlinear Equations,” Englewood Cliffs, Prentice-Hall, 1983.
[11] K. Levenberg, “A Method for The Solution of Certain Nonlinear Problem in Least Squares,” Quarterly of Applied Mathematics, Vol. 2, 1944, pp. 164-166.
[12] D. W. Marquardt, An algorithm for least-squares estimation of nonlinear inequalities, SIAM Journal on Applied Mathematics, Vol. 11, 1963, pp. 431-441.
[13] J. Nocedal and S. J. Wright, “Numerical Optimization,” Springer, New York, 1999.
[14] N. Yamashita and M. Fukushima, “On the Rate of Convergence of the Levenberg-Marquardt Method,” Computing, Vol. 15, No. Suppl, 2001, pp. 239-249.
[15] Y. Yuan and W. Sun, “Optimization Theory and Algorithm,” Scientific Publisher House, Beijing, 1997.
[16] G. Yuan and X. Li, “A Rank-One Fitting Method for Solving Symmetric Nonlinear Equations,” Journal of Applied Functional Analysis, Vol. 5, No. 4, 2010, pp. 389- 407.
[17] G. Yuan, X. Lu and Z. Wei, “BFGS Trust-Region Method for Symmetric Nonlinear Equations,” Journal of Computational and Applied Mathematics, Vol. 230, No. 1, 2009, pp. 44-58.
[18] G. Yuan, S. Meng and Z. Wei, “A Trust-Region-Based BFGS Method with Line Search Technique for Symmetric Nonlinear Equations,” Advances in Operations Research, Vol. 2009, 2009, pp. 1-20.
[19] G. Yuan, Z. Wang and Z. Wei, “A Rank-One Fitting Method with Descent Direction for Solving Symmetric Nonlinear Equations,” International Journal of Communications, Network and System Sciences, Vol. 2, No. 6, 2009, pp. 555-561.
[20] G. Yuan, Z. Wei and X. Lu, “A Nonmonotone Trust Region Method for Solving Symmetric Nonlinear Equations,” Chinese Quarterly Journal of Mathematics, Vol. 24, No. 4, 2009, pp. 574-584.
[21] H. Zhang and W. Hager, “A Nonmonotone Line Search Technique and Its Application to Unconstrained Optimization,” SIAM Journal on Optimization, Vol. 14, No. 4, 2004, pp. 1043-1056.
[22] J. M. Ortega and W. C. Rheinboldt, “Iterative Solution of Nonlinear Equations in Several Variables,” Academic Press, New York, 1970.
[23] E. Yamakawa and M. Fukushima, “Testing Parallel Bariable Transformation,” Computational Optimization and Applications, Vol. 13, 1999, pp. 253-274.