Akrotirianakis, I. and Rustem, B. (2005), “Globally Convergent Interior-Point Algorithm for Nonlinear Programming,” Journal of Optimization Theory and Applications, 125, 497–521.
Armand, P., Gilbert, J. C., and Jan-Jégou, S. (2002), “A BFGS-IP Algorithm for Solving Strongly Convex Optimization Problems with Feasibility Enforced by an Exact Penalty Approach,” Mathematical Programming, 92, 393–424.
Erway, J., Gill, P. E., and Griffin, J. D. (2007), “Iterative Solution of Augmented Systems Arising in Interior Point Methods,” SIAM Journal on Optimization, 18, 666–690.
Forsgren, A. and Gill, P. E. (1998), “Primal-Dual Interior Methods for Nonconvex Nonlinear Programming,” SIAM Journal on Optimization, 8, 1132–1152.
Forsgren, A., Gill, P. E., and Wright, M. H. (2002), “Interior Methods for Nonlinear Optimization,” SIAM Review, 44, 525–597.
Gill, P. E. and Robinson, D. P. (2010), “A Primal-Dual Augmented Lagrangian,” Computational Optimization and Applications, 47, 1–25.
Gould, N. I. M., Orban, D., and Toint, Ph. L. (2003), “CUTEr and SifDec: A Constrained and Unconstrained Testing Environment, Revised,” ACM Transactions on Mathematical Software, 29, 373–394.
Hock, W. and Schittkowski, K. (1981), Test Examples for Nonlinear Programming Codes, volume 187 of Lecture Notes in Economics and Mathematical Systems, Berlin: Springer-Verlag.
Nocedal, J. and Wright, S. J. (1999), Numerical Optimization, New York: Springer-Verlag.
Vanderbei, R. J. (1999), “LOQO: An Interior Point Code for Quadratic Programming,” Optimization Methods and Software, 11, 451–484.
Wächter, A. and Biegler, L. T. (2006), “On the Implementation of an Interior-Point Filter Line-Search Algorithm for Large-Scale Nonlinear Programming,” Mathematical Programming, 106, 25–57.
Wright, S. J. (1997), Primal-Dual Interior-Point Methods, Philadelphia: SIAM Publications.
Yamashita, H. (1998), “A Globally Convergent Primal-Dual Interior Point Method for Constrained Optimization,” Optimization Methods and Software, 10, 443–469.