Wenjuan Xue, Weiai Liu
Wenjuan Xue, Weiai Liu. A MULTIDIMENSIONAL FILTER SQP ALGORITHM FOR NONLINEAR PROGRAMMING[J]. Journal of Computational Mathematics, 2020, 38(5): 683-704.
[1] F. Bouchon, S. Clain and R. Touzani, A perturbation method for the numerical solution of the Bernoulli problem, J. Comput. Math., 26(2008), 23-36. [2] R. Andreani, J.M. Martíez and M.L. Schuverdt. On the relation between constant positive linear dependence condition and quasinormality constraint qualification. Journal of Optimization Theory and Applications, 125(2005), 473-485. [3] R. Andreani, G. Haeser, M.L. Schuverdt and P.J.S. Silva. Two new weak constraint qualifications and applications. SIAM Journal on Optimization, 22(2012), 1109-1135. [4] C. Audet and J.E. Dennis Jr. A pattern search filter method for nonlinear programming without derivatives. SIAM Journal on Optimization, 14(2004), 980-1010. [5] J.V. Burke and S.P. Han. A robust sequential quadratic programming method. Mathematical Programming, 43(1989), 277-303. [6] S. Bellavia, M. Macconi and B. Morini. STRSCNE:a scaled trust region solver for constrained nonlinear equations. Computational Optimization and Applications, 28(2004), 31-50. [7] S. Bellavia, M. Macconi and B. Morini. STRSCNE:http://ciro.de.unifi.it/STRSCNE/, 2007. [8] Y.N. Chen and W.Y. Sun. A dwindling filter line search method for unconstrained optimization. Mathematics of Computation, 84(2015), 187-208. [9] J.E. Dennis, JR, M. El-aem and K. Williamson. A trust region approach to nonlinear systems of equalities and inequalities. SIAM Journal on Optimization, 9(1999), 291-315. [10] E.D. Dolan and J. Moré. Benchmarking optimization software with performance profiles. Mathematical Programming, 91(2002), 201-213. [11] R. Fletcher and S. Leyffer. Nonlinear programming without a penalty function. Mathematical Programming, 91(2002), 239-269. [12] R. Fletcher, S. Leyffer and Ph.L. Toint. On the global convergence of a filter-SQP algorithm. SIAM Journal on Optimization, 13(2002), 44-59. [13] Ph.E. Gill, W. Murray and M.A. Saunders. SNOPT:An SQP algorithm for large scale constrained optimization. SIAM Review, 47(2005), 99-131. [14] N.I.M. Gould, S. Leyffer and Ph.L. Toint. A multidimensional filter algorithm for nonlinear equations and nonlinear least squares. SIAM Journal on Optimization, 15(2005), 17-38. [15] N.I.M. Gould, Y. Loh and D.P. Robinson. A nonmonotone filter SQP method:local convergence and numerical results. SIAM Journal on Optimization, 25(2015), 1885-1911. [16] N.I.M. Gould, Y. Loh and D.P. Robinson. A filter method with unified step computation for nonlinear optimization. SIAM Journal on Optimization, 24(2014), 175-209. [17] N.I.M. Gould, C. Sainvitu and Ph.L. Toint. A filter trust region method for unconstrained optimization. SIAM Journal on Optimization, 16(2005), 341-357. [18] N.I.M. Gould and Ph.L. Toint. FILTRANE:A fortran 95 filter trust region package for solving systems of nonlinear equalities, nonlinear inequalities and nonlinear least-squares problems. Tech. Report 03/15, Rutherford Appleton Laboratory, Chilton, Oxfordshire, England, 2003. [19] N.I.M. Gould, D. Orban and Ph.L. Toint. CUTEr and SifDec:A constrained and unconstrained testing environment. ACM Transactions on Mathematical Software, 29(2003), 373-394. [20] CUTEr. Webpage:http://hsl.rl.ac.uk/cuter-www/, 2018. [21] M.R. Hestenes. Optimization Theory:The Finite-Dimensional Case. John Wiley and Sons, New York, NY, 1975. [22] W. Hock and K. Schittkowski. Test Examples for Nonlinear Programming Codes. Lecture Notes in Economics and Mathematical Systems, 187(1981), Springer-Verlag, Berlin. [23] C.J. Li and W.Y. Sun. On filter-successive linearization methods for nonlinear semidefinite programming. Science in China Series A:Mathematics, 51(2009), 2341-2361. [24] X.W. Liu, G. Perakis and J. Sun. A robust SQP method for mathematical programs with linear complementarity constraints. Computational Optimization and Applications, 34(2006), 5-33. [25] M. Macconi, B. Morini and M. Porcelli. Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities. http://www.de.unifi.it/anum/macconi/pubblicazionieng.html, 2007. |
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