@book{hock, author = "W. Hock and K. Schittkowski", title = "Test Examples for Nonlinear Programming Codes", volume = "187", series = "Lecture Notes in Economics and Mathematical Systems", year = "1981", publisher = "Springer Verlag", address = "Berlin, Germany" } @book{fandm, author = "A. V. Fiacco and G. P. McCormick", title = "Nonlinear Programming: Sequential Unconstrained Minimization Techniques", year = "1968", publisher = "John {W}iley \& {S}ons", address = "New York", note = "Reprint: Volume 4 of {\sl {SIAM} Classics in Applied Mathematics}, {SIAM} Publications, Philadelphia, Pennsylvania, 1990", } @article{polyak, author = "R. Polyak", title = "Modified barrier functions (theory and methods)", Journal = "Mathematical Programming", volume = "54", year = "1992", pages = "177--222" } @article{mcc, author = "G. P. McCormick", title = "The projective {SUMT} method for convex optimization", Journal = "Mathematics of Operations Research", volume = "14", year = "1989", pages = "203--224" } @article{nands, author = "S. G. Nash and A. Sofer", title = "A Barrier Method for Large-Scale Constrained Optimization", Journal = "{ORSA} Journal on Computing", volume = "5", year = "1993", pages = "40--53" } @article{lpandy, author = "L. S. Lasdon and J. Plummer and G. Yu", title = "Primal-dual and primal interior point algorithms for general nonlinear programs", Journal = "{ORSA} Journal on Computing", volume = "7", year = "1995", pages = "321--332" } @techreport{eetal, author = "A. S. El-Bakry and R. A. Tapia and T. Tsuchiya and Y. Zhang", title = "On the formulation and theory of the primal-dual {N}ewton interior-point method for nonlinear programming", type="{Technical Report TR92-40}", institution="{Department of Computational and Applied Mathematics, Rice University}", year = "1992", } @incollection{wright, author = "M. H. Wright", title="Interior methods for constrained optimization", booktitle="Acta Numerica", editor = "A. Iserles", publisher = "Cambridge University Press", address = "New York", year = "1992", pages = "341--407" } @techreport{mandw, author = "W. Murray and M. H. Wright", title = "Efficient linear search algorithms for the Logarithmic Barrier function", type="{Report {SOL} 76-18}", institution="Department of Operations Research, Stanford University", address ="Stanford, CA", year = "1976" } @techreport{bands1, author = "M. G. Breitfeld and D. F. Shanno", title = "Computational experience with penalty-barrier methods for nonlinear programming", type="{{RUTCOR} Research Report {RRR} 17-93 (revised March 1994)}", institution="{Rutgers University}", address = "New Brunswick, New Jersey", year = "1995", note = "To appear in {\sl Annals of Operations Research}" } @techreport{bands2, author = "M. G. Breitfeld and D. F. Shanno", title = "A globally convergent penalty-barrier algorithm for nonlinear programming and its computational performance", type="{{RUTCOR} Research Report {RRR} 12-94 (revised September 1995)}", institution="{Rutgers University}", address = "New Brunswick, New Jersey", year = "1995" } @techreport{cgandt, author = "A. R. Conn and N. I. M. Gould and P.L. Toint", title = "A globally convergent {L}agrangian barrier algorithm for optimization with general inequality constraints and simple bounds", type="{Technical Report 92/07}", institution="{Department of Mathematics, Facult\'e Universitaires de Namur}", address = "Namur, Belgium", year = "1992" } @techreport{sands, author = "E. Simantiraki and D.F. Shanno", title = "An infeasible-interior-point algorithm for solving mixed complementarity problems", type="{{RUTCOR} Research Report {RRR} 37-95}", institution="{Rutgers University}", address = "New Brunswick, New Jersey", year = "1995" }