1.

Qi, L., and Jiang, H., *Semismooth Karush-Kuhn-Tucker Equations and Convergence Analysis of Newton and Quasi-Newton Methods for Solving These Equations*, Report 5, Applied Mathematics Department, University of New South Wales, 1994.

2.

Harker, P. T., and Xiao, B., *Newton's Method for Linear Complementarity Problem: A B-Differentiable Equation Approach, Mathematical Programming*, Vol. 48, pp. 339–357, 1990.

3.

Pang, J. S., *A B-Differentiable Equation-Based, Globally, and Locally Quadratically Convergent Algorithm for Nonlinear Programs, Complementarity, and Variational Inequality Problems*, Mathematical Programming, Vol. 51, pp. 101–131, 1991.

4.

Pang, J. S., and Qi, L., *Nonsmooth Equations: Motivation and Algorithms*, SIAM Journal on Optimization, Vol. 3, pp. 443–465, 1993.

5.

Qi, L., *Superlinearly Approximate Newton Methods for* LC^{1}-*Optimization Problems*, Mathematical Programming, Vol. 64, pp. 277–294, 1994.

6.

Sun, J., and Qi, L., *An Interior-Point Algorithm of O*(\(\sqrt m \)|log ε|) *Iterations for* C^{1}-*Convex Programming*, Mathematical Programming, Vol. 57, pp. 239–257, 1992.

7.

Xiao, B., and Harher, P. T., *A Nonsmooth Newton Method for Variational Inequalities, Part 1: Theory*, Mathematical Programming, Vol. 65, pp. 151–194, 1994.

8.

Ip, C. M., and Kyparisis, J., *Local Convergence of Quasi-Newton Methods for B-Differentiable Equations*, Mathematical Programming, Vol. 58, pp. 71–89, 1992.

9.

Chen, X., and Qi, L., *A Parametrized Newton Method and a Quasi-Newton Method for Nonsmooth Equations*, Computational Optimization and Applications, Vol. 3, pp. 157–179, 1994.

10.

Kojima, M., and Shindo, S., *Extensions of Newton and Quasi-Newton Methods to Systems of* PC^{1}-*Equations*, Journal of the Operation Research Society of Japan, Vol. 29, pp. 352–374, 1986.

11.

Kummer, B., *Newton's Method for Nondifferentiable Functions*, Advances in Mathematical Optimization, Edited by J. Guddat et al. Akademie Verlag, Berlin, Germany, pp. 114–125, 1988.

12.

Pang, J. S., *Newton's Method for B-Differentiable Equations*, Mathematics of Operation Research, Vol. 15, pp. 311–341, 1990.

13.

Qi, L., *Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations*, Mathematics of Operation Research, Vol. 18, pp. 227–244, 1993.

14.

Qi, L., and Sun, J., *A Nonsmooth Version of Newton's Method*, Mathematical Programming, Vol. 58, pp. 353–367, 1993.

15.

Clarke, F. H., *Optimization and Nonsmooth Analysis*, John Wiley and Sons, New York, New York, 1983.

16.

Xu, H., *Approximate Newton Methods for Nonsmooth Equations*, Report 158, Mathematics and Computer Sciences Department, Dundee University, Dundee, Scotland, 1994.

17.

Dembo, R. S., Eisentat, S. C., and Steihaug, T., *Inexact Newton Methods*, SIAM Journal on Numerical Analysis, Vol. 19, pp. 400–408, 1982.

18.

Eisenstat, S. C., and Walker, H. F., *Globally Convergence Inexact Newton Methods*, SIAM Journal on Optimization, Vol. 4, pp. 393–422, 1994.

19.

Martinez, J. M., and Qi, L., *Inexact Newton Methods for Solving Nonsmooth Equations*, Journal of Computational and Applied Mathematics, Vol. 60, pp. 127–145, 1995.

20.

Dennis, J. E., and More, J. J., *Quasi-Newton Methods: Motivation and Theory*, SIAM Review, Vol. 19, pp. 46–89, 1977.

21.

Ortega, J. M., and Rheinboldt, W. C., *Iterative Solution of Nonlinear Equations in Several Variables*, Academic Press, New York, New York, 1970.