L.T. Biegler. Nonlinear Programming: Concepts, Algorithms and Applications to Chemical Processes. SIAM, Philadelphia, 2010.
N.-Y. Chiang and V.M. Zavala. An inertia-free filter line-search algorithm for large-scale nonlinear programming. Computational Optimization and Applications, 64(2):327–354, 2016.
F.E. Curtis, J. Huber, O. Schenk, and A. Wächter. A note on the implementation of an interior-point algorithm for nonlinear optimization with inexact step computations. Mathematical Programming, 136(1):209–227, 2012. preprint at http://www.optimization-online.org/DB_HTML/2011/04/2992.html.
A.V. Fiacco, editor. Introduction to Sensitivity and Stability Analysis in Nonlinear Programming, volume 165 of Mathematics in Science and Engineering. 1983.
R. Fourer, D.M. Gay, and B.W. Kernighan. AMPL: A Modeling Language For Mathematical Programming. Thomson Publishing Company, Danvers, MA, USA, 1993.
W. Hock and K. Schittkowski. Test examples for nonlinear programming codes. Lecture Notes in Economics and Mathematical Systems, 187, 1981.
J. Nocedal, A. Wächter, and R.A. Waltz. Adaptive barrier strategies for nonlinear interior methods. SIAM Journal on Optimization, 19(4):1674–1693, 2008. preprint at http://www.optimization-online.org/DB_HTML/2005/03/1089.html.
H. Pirnay, R. López-Negrete, and L.T. Biegler. Optimal sensitivity based on Ipopt. Mathematical Programming Computations, 4(4):307–331, 2012. preprint at http://www.optimization-online.org/DB_HTML/2011/04/3008.html.
B. Tasseff, C. Coffrin, A. Wächter, and C. Laird. Exploring benefits of linear solver parallelism on modern nonlinear optimization applications. arXiv 1909.08104, 2019.
A. Wächter and L.T. Biegler. Line search filter methods for nonlinear programming: Local convergence. SIAM Journal on Optimization, 16(1):32–48, 2005.
A. Wächter and L.T. Biegler. Line search filter methods for nonlinear programming: Motivation and global convergence. SIAM Journal on Optimization, 16(1):1–31, 2005.
A. Wächter and L.T. Biegler. On the implementation of a primal-dual interior point filter line search algorithm for large-scale nonlinear programming. Mathematical Programming, 106(1):25–57, 2006. preprint at http://www.optimization-online.org/DB_HTML/2004/03/836.html.
A. Wächter. An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering. PhD thesis, Carnegie Mellon University, Pittsburgh, PA, USA, January 2002.
A. Wächter. Short tutorial: Getting started with Ipopt in 90 minutes. In H. D. Simon U. Naumann, O. Schenk, editor, Combinatorial Scientific Computing. 2009.