Use of the NLPQLP Sequential Quadratic Programming Algorithm to Solve Rotorcraft Aeromechanical Constrained Optimisation Problems

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[1]  M. Powell.  On the quadratic programming algorithm of Goldfarb and Idnani , 1985 .

[2]  Klaus Schittkowski,et al.  NLPQL: A fortran subroutine solving constrained nonlinear programming problems , 1986 .

[3]  Klaus Schittkowski,et al.  Test examples for nonlinear programming codes , 1980 .

[4]  Helmut Maurer,et al.  Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints. Part 2: Distributed Control , 2001, Comput. Optim. Appl..

[5]  L. Armijo.  Minimization of functions having Lipschitz continuous first partial derivatives. , 1966 .

[6]  Han Jiye.  A nonmonotone trust region algorithm for equality constrained optimization , 1995 .

[7]  K. Schittkowski.  NLPQL: A fortran subroutine solving constrained nonlinear programming problems , 1986 .

[8]  A. Tits,et al.  Avoiding the Maratos effect by means of a nonmonotone line search I. general constrained problems , 1991 .

[9]  P. Wolfe.  Convergence Conditions for Ascent Methods. II , 1969 .

[10]  Stefano Lucidi,et al.  Curvilinear Stabilization Techniques for Truncated Newton Methods in Large Scale Unconstrained Optimization , 1998, SIAM J. Optim..

[11]  Philippe L. Toint,et al.  Non-monotone trust-region algorithms for nonlinear optimization subject to convex constraints , 1997, Math. Program..

[12]  Klaus Schittkowski.  On the Global Convergence of Nonlinear Programming Algorithms , 1985 .

[13]  L. Liao,et al.  R-linear convergence of the Barzilai and Borwein gradient method , 2002 .

[14]  Klaus Schittkowski,et al.  EASY-FIT: a software system for data fitting in dynamical systems , 2002 .

[15]  A. Tits,et al.  Nonmonotone line search for minimax problems , 1993 .

[16]  L. Grippo,et al.  A truncated Newton method with nonmonotone line search for unconstrained optimization , 1989 .

[17]  Shih-Ping Han.  A globally convergent method for nonlinear programming , 1975 .

[18]  Klaus Schittkowski,et al.  Nonlinear Programming Methods with Linear Least Squares Subproblems , 1982 .

[19]  N. Deng,et al.  Nonmonotonic trust region algorithm , 1993 .

[20]  K. Schittkowski,et al.  On the Convergence of a Sequential Quadratic Programming Method with an Augmented Lagrangian Line Search Functions. , 1982 .

[21]  James M. Ortega,et al.  Iterative solution of nonlinear equations in several variables , 2014, Computer science and applied mathematics.

[22]  Nicholas I. M. Gould,et al.  CUTE: constrained and unconstrained testing environment , 1995, TOMS.

[23]  Jorge Nocedal,et al.  On the limited memory BFGS method for large scale optimization , 1989, Math. Program..

[24]  K. Schittkowski,et al.  Numerical comparison of nonlinear programming algorithms for structural optimization , 1994 .

[25]  Klaus Schittkowski,et al.  Numerical Data Fitting in Dynamical Systems , 2002 .

[26]  J. F. Bonnans,et al.  Avoiding the Maratos effect by means of a nonmonotone line search II. Inequality constrained problems—feasible iterates , 1992 .

[27]  Philippe L. Toint,et al.  An Assessment of Nonmonotone Linesearch Techniques for Unconstrained Optimization , 1996, SIAM J. Sci. Comput..

[28]  Marcos Raydan,et al.  The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem , 1997, SIAM J. Optim..

[29]  K. Schittkowski,et al.  Optimal Design of Electronic Components by Mixed-Integer Nonlinear Programming , 2004 .

[30]  K Schittkowski.  NLPQLP : A Fortran Implementation of a Sequential Quadratic Programming Algorithm with Distributed and Non-Monotone Line Search-User ’ s Guide , Version 2 . 0 , 2005 .

[31]  Benjamin G. Zorn,et al.  Comparative Performance Evaluation of , 1989 .

[32]  M. J. D. Powell,et al.  A fast algorithm for nonlinearly constrained optimization calculations , 1978 .

[33]  K. Schittkowski.  Parameter estimation in systems of nonlinear equations , 1994 .

[34]  Helmut Maurer,et al.  Optimization Techniques for Solving Elliptic Control Problems with Control and State Constraints: Part 1. Boundary Control , 2000, Comput. Optim. Appl..

[35]  L. Grippo,et al.  A class of nonmonotone stabilization methods in unconstrained optimization , 1991 .

[36]  Shih-Ping Han,et al.  Superlinearly convergent variable metric algorithms for general nonlinear programming problems , 1976, Math. Program..

[37]  K. Schittkowski,et al.  Modeling of diffusion and concurrent metabolism in cutaneous tissue. , 2000, Journal of theoretical biology.

[38]  David Hemmendinger,et al.  Digital equipment corporation (DEC) , 2003 .

[39]  M. J. D. Powell,et al.  THE CONVERGENCE OF VARIABLE METRIC METHODS FOR NONLINEARLY CONSTRAINED OPTIMIZATION CALCULATIONS , 1978 .

[40]  Siam Rfview,et al.  CONVERGENCE CONDITIONS FOR ASCENT METHODS , 2016 .

[41]  DaiYuhong,et al.  A NONMONOTONE CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION , 2002 .

[42]  K. Schittkowski.  An active set strategy for solving optimization problems with up to 200,000,000 nonlinear constraints , 2009 .