
求解非线性规划的修正滤子信赖域方法
A Modified Filter Trust Region Method for Nonlinear Programming
滤子技巧 / 信赖域 / 序列二次规划 / 非线性规划 {{custom_keyword}} /
filter method / trust region / sequential quadratic programming / Nonlinear programming {{custom_keyword}} /
[1] Celis M. R., Dennis J. E., Tapia R. A., A Trust Region Strategy for Nonlinear Equality Constrained Optimization, in: P.T.Boggs, R.H.Byrd, R.B.Schnable (Eds.), Philadelphia: Numerical Optimization, SIAM, 1985, 71--82.
[2] Omojokun E. O., Trust-Region for Optimization with Nonlinear Equality and Inequality Constraints, PH.D. Thesis, Boulder: University of Colorado, 1989.
[3] Powell M. J. D., Yuan Y., A trust-region algorithm for equality constrained optimization, Math. Program., 1991, 49: 189--211.
[4] Nie P. Y., Ma C. F., A trust region filter method for general nonlinear programming, Appl. Math. Comput., 2006, 172: 1000--1017.
[5] Fletcher R., Leyffer S., Nonlinear programming without a penalty function, Math. Program., 2002, 91(2): 239--269.
[6] Peng Y. H., Yao S. B., A feasible trust-region algorithm for inequality constrained optimization, Appl. Math. Comput., 2006, 173: 513--522.
[7] Ulbrich M., ulbrich S., Nonmonotone trust region method for nonlinear equality constrained optimization without a penalty function, Math. Program., 2003, SerB: 103--113.
[8] Fletcher R., Leyffer S., A Boundle Filter Method for Nonsmooth Nonlinear Optimization, Technical Report NA/195, Department of Mathematics, Scotland: University of Dundee, December, 1999.
[9] Beson H. Y., Shanno D. F., Vanderbei R., Interior point method for nonconvex nonlinear programming jamming and numerical test, Math. Program., 2004, 99: 35--48. indent=6mm
[10] Liu X. W., Sun J., Global convergence analysis of line search interior-point methods for nonlinear programming without reqularity assumptions, J. Optim. Theory Appl., 2005, 125: 609--628.
[11] Liu V., Sun J., A robust primal-dual interior point algorithm for nonlinear programs, SIAM J. Optim., 2004, \bf 14: 1163--1186.
[12] Ulbrich M., Ulbrich S., Vicente L. N., A global convergent primal-dual interior filter method for nonconvex nonlinear programming, Math. Program., 2004, \bf 100: 379--410.
[13] Audet C., Dennis J. E., A pattern search filter method for nonlinear programming without deriviatives, SIAM J. Control. Optim., 2004, 14: 980--1010.
[14] Fletcher R., Gould N. I. M., Leyffer S., Toint P. L., Wachter A., A global convergence of a trust region SQP-filter algorithm for general nonlinear programming, SIAM J. Optim., 2002, 13: 635--660.
[15] Fletcher R., Leyffer S., Toint P. L., On the global convergence of a filter-SQP algorithm, SIAM J. Optim., 2002, 13: 44--59.
[16] Ulbrich S., On the superlinear local convergence of a filter-SQP methods, Math. Program., 2004, 100: 217--245.
[17] Yuan Y., Trust Region Algorithms for Nonlinear Programming, in Computational Mathematics in China, Contemp. Math., 163, Z. C. Shi ed., AMS, Providence, RI, 1994, 205--225.
[18] Hock W., Schittkowski K., Test Examples for Nonlinear Programming Codes, Lecture Notes in Econom. and Math. Systems, 187, Berlin: Springer-Verlag, 1981.
国家自然科学基金资助项目(10771162,60974134);河北大学自然科学基金资助项目(2009159)
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