Potschka, Andreas A direct method for the numerical solution of optimization problems with time-periodic PDE constraints. (English) Zbl 1237.65062 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). xviii, 146 p. (2001). MSC: 65K10 65-02 49M15 49J20 49M37 90C55 PDFBibTeX XMLCite \textit{A. Potschka}, A direct method for the numerical solution of optimization problems with time-periodic PDE constraints. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2001; Zbl 1237.65062) Full Text: Link
Scholtes, Stefan; Stöhr, Michael How stringent is the linear independence assumption for mathematical programs with complementarity constraints? (English) Zbl 1082.90580 Math. Oper. Res. 26, No. 4, 851-863 (2001). MSC: 90C46 90C33 90C55 PDFBibTeX XMLCite \textit{S. Scholtes} and \textit{M. Stöhr}, Math. Oper. Res. 26, No. 4, 851--863 (2001; Zbl 1082.90580) Full Text: DOI
Lukšan, Ladislav; Vlček, Jan Algorithm 811: NDA: algorithms for nondifferentiable optimization. (English) Zbl 1070.65552 ACM Trans. Math. Softw. 27, No. 2, 193-213 (2001). MSC: 65K10 90C55 65Y15 90C47 90C30 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{J. Vlček}, ACM Trans. Math. Softw. 27, No. 2, 193--213 (2001; Zbl 1070.65552) Full Text: DOI
Ning, Wei A BFGS-SQP algorithm with Wolfe line search. (Chinese. English summary) Zbl 1134.90544 J. Liaoning Norm. Univ., Nat. Sci. 24, No. 3, 243-247 (2001). MSC: 90C55 PDFBibTeX XMLCite \textit{W. Ning}, J. Liaoning Norm. Univ., Nat. Sci. 24, No. 3, 243--247 (2001; Zbl 1134.90544)
Sasaki, Mihiro; Fukushima, Masao Stackelberg hub location problem. (English) Zbl 1027.90054 J. Oper. Res. Soc. Japan 44, No. 4, 390-402 (2001). MSC: 90B80 90C55 PDFBibTeX XMLCite \textit{M. Sasaki} and \textit{M. Fukushima}, J. Oper. Res. Soc. Japan 44, No. 4, 390--402 (2001; Zbl 1027.90054) Full Text: DOI
Wan, Zhong; Zhou, Shuzi A SQP algorithm for a class of MPEC. (Chinese. English summary) Zbl 1032.90071 Math. Appl. 14, No. 2, 39-44 (2001). MSC: 90C55 PDFBibTeX XMLCite \textit{Z. Wan} and \textit{S. Zhou}, Math. Appl. 14, No. 2, 39--44 (2001; Zbl 1032.90071)
Ge, Hengwu; Chen, Zhongwen The convergence of a class of nonmonotone trust region algorithms for convex constrained optimization. (Chinese. English summary) Zbl 1026.90098 Math. Appl. 14, No. 3, 77-81 (2001). MSC: 90C55 90C25 65K05 PDFBibTeX XMLCite \textit{H. Ge} and \textit{Z. Chen}, Math. Appl. 14, No. 3, 77--81 (2001; Zbl 1026.90098)
Ou, Yigui; Hou, Dingpi A trust region algorithm for unconstrained nonsmooth minimization. (Chinese. English summary) Zbl 1032.90042 Math. Appl. 14, No. 3, 27-29 (2001). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{Y. Ou} and \textit{D. Hou}, Math. Appl. 14, No. 3, 27--29 (2001; Zbl 1032.90042)
Fan, Dongming Nonlinear programming algorithms for nonlinear least squares adjustment by parameters. (Chinese. English summary) Zbl 1153.90571 J. Southwest Jiaotong Univ. 36, No. 5, 476-480 (2001). MSC: 90C53 90C55 65K05 PDFBibTeX XMLCite \textit{D. Fan}, J. Southwest Jiaotong Univ. 36, No. 5, 476--480 (2001; Zbl 1153.90571)
Volkwein, Stefan Optimal and suboptimal control of partial differential equations: Augmented Lagrange-SQP methods and reduced-order modeling with proper orthogonal decomposition. (English) Zbl 1005.49029 Grazer Math. Ber. 343, vi, 1-131 (2001). Reviewer: Hector O.Fattorini (Los Angeles) MSC: 49M37 90C55 49J20 49K20 65K10 PDFBibTeX XMLCite \textit{S. Volkwein}, Grazer Math. Ber. 343, vi, 1--131 (2001; Zbl 1005.49029)
Hinze, Michael; Kunisch, Karl Second order methods for optimal control of time-dependent fluid flow. (English) Zbl 1012.49026 SIAM J. Control Optimization 40, No. 3, 925-946 (2001). MSC: 49M37 76D55 90C55 35Q30 49J20 35B37 93C20 76D05 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{K. Kunisch}, SIAM J. Control Optim. 40, No. 3, 925--946 (2001; Zbl 1012.49026) Full Text: DOI
Heinkenschloss, Matthias; Vicente, Luis N. Analysis of inexact trust-region SQP algorithms. (English) Zbl 1035.90104 SIAM J. Optim. 12, No. 2, 283-302 (2002). MSC: 90C55 90C06 90C30 49M37 65K05 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{L. N. Vicente}, SIAM J. Optim. 12, No. 2, 283--302 (2001; Zbl 1035.90104) Full Text: DOI
Hager, William W. Minimizing a quadratic over a sphere. (English) Zbl 1058.90045 SIAM J. Optim. 12, No. 1, 188-208 (2001). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C20 65F10 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager}, SIAM J. Optim. 12, No. 1, 188--208 (2001; Zbl 1058.90045) Full Text: DOI
Gould, Nicholas I. M.; Hribar, Mary E.; Nocedal, Jorge On the solution of equality constrained quadratic programming problems arising in optimization. (English) Zbl 0999.65050 SIAM J. Sci. Comput. 23, No. 4, 1376-1395 (2001). MSC: 65K05 90C55 65F35 90C06 90C30 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Sci. Comput. 23, No. 4, 1376--1395 (2001; Zbl 0999.65050) Full Text: DOI
Xu, Yifan; Zheng, Yingping An SQP algorithm for degenerate problems. (Chinese. English summary) Zbl 1078.90584 J. Syst. Sci. Math. Sci. 21, No. 3, 257-263 (2001). MSC: 90C55 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Y. Zheng}, J. Syst. Sci. Math. Sci. 21, No. 3, 257--263 (2001; Zbl 1078.90584)
Bartholomew-Biggs, M. C. IP from an SQP point of view. (English) Zbl 0992.90077 Optim. Methods Softw. 16, No. 1-4, 69-84 (2001). MSC: 90C51 90C30 90C55 PDFBibTeX XMLCite \textit{M. C. Bartholomew-Biggs}, Optim. Methods Softw. 16, No. 1--4, 69--84 (2001; Zbl 0992.90077) Full Text: DOI
Vlček, J.; Lukšan, L. Gobally convergent variable metric method for nonconvex nondifferentiable unconstrained minimization. (English) Zbl 1029.90060 J. Optimization Theory Appl. 111, No. 2, 407-430 (2001). Reviewer: Do Van Luu (Hanoi) MSC: 90C26 90C56 90C55 90C30 90C53 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, J. Optim. Theory Appl. 111, No. 2, 407--430 (2001; Zbl 1029.90060) Full Text: DOI
Zhang, Ju-Liang; Zhang, Xiang-Sun A modified SQP method with nonmonotone linesearch technique. (English) Zbl 1068.90616 J. Glob. Optim. 21, No. 2, 201-218 (2001). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{J.-L. Zhang} and \textit{X.-S. Zhang}, J. Glob. Optim. 21, No. 2, 201--218 (2001; Zbl 1068.90616) Full Text: DOI
Qi, Liqun; Yang, Yu-Fei A globally and superlinearly convergent SQP algorithm for nonlinear constrained optimization. (English) Zbl 1068.90615 J. Glob. Optim. 21, No. 2, 157-184 (2001). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Y.-F. Yang}, J. Glob. Optim. 21, No. 2, 157--184 (2001; Zbl 1068.90615) Full Text: DOI
Jian, Jinbao Two extension models of SQP and SSLE algorithms for optimizaiton and their superlinear and quadratic convergence. (Chinese. English summary) Zbl 1015.90088 Appl. Math., Ser. A (Chin. Ed.) 16, No. 4, 435-444 (2001). MSC: 90C55 65K05 PDFBibTeX XMLCite \textit{J. Jian}, Appl. Math., Ser. A (Chin. Ed.) 16, No. 4, 435--444 (2001; Zbl 1015.90088)
Wan, Zhong A modified SQP algorithm for LCP constrained MP. (English) Zbl 0990.90114 J. Nat. Sci. Hunan Norm. Univ. 24, No. 2, 9-11 (2001). MSC: 90C33 90C55 PDFBibTeX XMLCite \textit{Z. Wan}, J. Nat. Sci. Hunan Norm. Univ. 24, No. 2, 9--11 (2001; Zbl 0990.90114)
Takeda, Akiko; Kojima, Masakazu Successive convex relaxation approach to bilevel quadratic optimization problems. (English) Zbl 0983.90066 Ferris, Michael C. (ed.) et al., Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9-12, 1999. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 50, 317-340 (2001). MSC: 90C33 90C20 90C26 PDFBibTeX XMLCite \textit{A. Takeda} and \textit{M. Kojima}, Appl. Optim. 50, 317--340 (2001; Zbl 0983.90066)
Mangasarian, O. L.; Musicant, David R. Data discrimination via nonlinear generalized support vector machines. (English) Zbl 0983.90046 Ferris, Michael C. (ed.) et al., Complementarity: applications, algorithms and extensions. Papers from the international conference on complementarity (ICCP 99), Madison, WI, USA, June 9-12, 1999. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 50, 233-251 (2001). MSC: 90C20 90C05 90C25 PDFBibTeX XMLCite \textit{O. L. Mangasarian} and \textit{D. R. Musicant}, Appl. Optim. 50, 233--251 (2001; Zbl 0983.90046)
Roberts, Peter D.; Becerra, Victor M. Optimal control of a class of discrete-continuous nonlinear systems – decomposition and hierarchical structure. (English) Zbl 0993.93002 Automatica 37, No. 11, 1757-1769 (2001). Reviewer: Ingmar Randvee (Tallinn) MSC: 93A13 49M27 90C55 PDFBibTeX XMLCite \textit{P. D. Roberts} and \textit{V. M. Becerra}, Automatica 37, No. 11, 1757--1769 (2001; Zbl 0993.93002) Full Text: DOI
Tong, Xiaojiao A trust region algorithm for nonlinear problems of equalities and inequalities. (English. Chinese original) Zbl 0984.65060 Chin. J. Numer. Math. Appl. 23, No. 3, 90-102 (2001); translation from J. Numer. Methods Comput. Appl. 22, No. 1, 53-62 (2001). MSC: 65K05 90C30 90C55 PDFBibTeX XML
Zhu, Detong A family of improved secant methods via nonmonotone curvilinear paths technique for equality constrained optimization. (English) Zbl 0989.65064 J. Comput. Appl. Math. 136, No. 1-2, 73-97 (2001). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 136, No. 1--2, 73--97 (2001; Zbl 0989.65064) Full Text: DOI
Jian, Jinbao A superlinearly and quadratically convergent SQP algorithm for inequality constrained optimization. (Chinese. English summary) Zbl 1054.90094 Acta Math. Sci., Ser. A, Chin. Ed. 21, No. 2, 268-277 (2001). MSC: 90C55 PDFBibTeX XMLCite \textit{J. Jian}, Acta Math. Sci., Ser. A, Chin. Ed. 21, No. 2, 268--277 (2001; Zbl 1054.90094)
Ouyang, Zixiang An algorithm for solving subproblems of Nash equilibrium. (Chinese. English summary) Zbl 0985.65067 Numer. Math., Nanjing 23, No. 1, 87-92 (2001). MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{Z. Ouyang}, Numer. Math., Nanjing 23, No. 1, 87--92 (2001; Zbl 0985.65067)
Zhang, Juliang; Zhang, Xiangsun An SQP method based on smoothing penalty function fo nonlinear optimization with inequality constraint. (English) Zbl 1062.90521 J. Syst. Sci. Complex. 14, No. 2, 212-217 (2001). MSC: 90C55 65K10 49J20 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Zhang}, J. Syst. Sci. Complex. 14, No. 2, 212--217 (2001; Zbl 1062.90521)
Leyffer, Sven Integrating SQP and branch-and-bound for mixed integer nonlinear programming. (English) Zbl 1009.90074 Comput. Optim. Appl. 18, No. 3, 295-309 (2001). MSC: 90C11 90C57 90C55 PDFBibTeX XMLCite \textit{S. Leyffer}, Comput. Optim. Appl. 18, No. 3, 295--309 (2001; Zbl 1009.90074) Full Text: DOI
Kostreva, Michael M.; Chen, Xibin Asymptotic rates of convergence of SQP-type methods of feasible directions. (English) Zbl 1054.90095 Yang, Xiaoqi (ed.) et al., Optimization methods and applications. Dordrecht: Kluwer Academic Publishers (ISBN 0-7923-6866-5). Appl. Optim. 52, 247-265 (2001). MSC: 90C55 PDFBibTeX XMLCite \textit{M. M. Kostreva} and \textit{X. Chen}, Appl. Optim. 52, 247--265 (2001; Zbl 1054.90095)
Zhang, Jianzhong; Liu, Guoshan A new extreme point algorithm and its application in PSQP algorithms for solving mathematical programs with linear complementarity constraints. (English) Zbl 1049.90125 J. Glob. Optim. 19, No. 4, 345-361 (2001). MSC: 90C49 90C33 90C55 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{G. Liu}, J. Glob. Optim. 19, No. 4, 345--361 (2001; Zbl 1049.90125) Full Text: DOI
Liu, Xinwei; Yuan, Yaxiang A robust trust region algorithm for solving general nonlinear programming. (English) Zbl 0984.65061 J. Comput. Math. 19, No. 3, 309-322 (2001). Reviewer: Hang Tong Lau (St.Laurent/Quebec) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{X. Liu} and \textit{Y. Yuan}, J. Comput. Math. 19, No. 3, 309--322 (2001; Zbl 0984.65061)
Zhu, Detong Curvilinear paths and trust region methods with nonmonotonic back tracking technique for unconstrained optimization. (English) Zbl 0984.65059 J. Comput. Math. 19, No. 3, 241-258 (2001). Reviewer: J.Lovíšek (Bratislava) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Math. 19, No. 3, 241--258 (2001; Zbl 0984.65059)
Xiu, Naihua; Zhang, Jianzhong A smoothing Gauss-Newton method for the generalized HLCP. (English) Zbl 0985.65070 J. Comput. Appl. Math. 129, No. 1-2, 195-208 (2001). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 90C33 90C55 PDFBibTeX XMLCite \textit{N. Xiu} and \textit{J. Zhang}, J. Comput. Appl. Math. 129, No. 1--2, 195--208 (2001; Zbl 0985.65070) Full Text: DOI
Qi, Liqun; Wei, Zengxin Corrigendum: On the constant positive linear dependence condition and its application to SQP methods. (English) Zbl 0999.90039 SIAM J. Optim. 11, No. 4, 1145-1146 (2001). MSC: 90C30 90C55 65K05 49M37 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Z. Wei}, SIAM J. Optim. 11, No. 4, 1145--1146 (2001; Zbl 0999.90039) Full Text: DOI
Lawrence, Craig T.; Tits, André L. A computationally efficient feasible sequential quadratic programming algorithm. (English) Zbl 1035.90105 SIAM J. Optim. 11, No. 4, 1092-1118 (2001). MSC: 90C55 90C30 65K05 65K10 90C53 PDFBibTeX XMLCite \textit{C. T. Lawrence} and \textit{A. L. Tits}, SIAM J. Optim. 11, No. 4, 1092--1118 (2001; Zbl 1035.90105) Full Text: DOI
Zhang, Juliang; Zhang, Xiangsun A SQP method for equality constrained optimization and its convergence. (Chinese. English summary) Zbl 0964.90054 Acta Math. Appl. Sin. 24, No. 1, 1-9 (2001). MSC: 90C55 90C30 65K05 PDFBibTeX XMLCite \textit{J. Zhang} and \textit{X. Zhang}, Acta Math. Appl. Sin. 24, No. 1, 1--9 (2001; Zbl 0964.90054)
Volkwein, S. Distributed control problems for the Burgers equation. (English) Zbl 0976.49001 Comput. Optim. Appl. 18, No. 2, 115-140 (2001). Reviewer: Hector O.Fattorini (Los Angeles) MSC: 49J20 49M37 49K20 35Q53 90C55 PDFBibTeX XMLCite \textit{S. Volkwein}, Comput. Optim. Appl. 18, No. 2, 115--140 (2001; Zbl 0976.49001) Full Text: DOI