Groenwold, Albert A.; Etman, L. F. P.; Snyman, J. A.; Rooda, J. E. Incomplete series expansion for function approximation. (English) Zbl 1273.74376 Struct. Multidiscip. Optim. 34, No. 1, 21-40 (2007). MSC: 74P05 90C55 41A30 PDFBibTeX XMLCite \textit{A. A. Groenwold} et al., Struct. Multidiscip. Optim. 34, No. 1, 21--40 (2007; Zbl 1273.74376) Full Text: DOI
Błaszczyk, Jacek; Karbowski, Andrzej; Malinowski, Krzysztof Object library of algorithms for dynamic optimization problems: benchmarking SQP and nonlinear interior point methods. (English) Zbl 1234.90022 Int. J. Appl. Math. Comput. Sci. 17, No. 4, 515-537 (2007). MSC: 90C39 68N19 90C51 90-04 90C55 PDFBibTeX XMLCite \textit{J. Błaszczyk} et al., Int. J. Appl. Math. Comput. Sci. 17, No. 4, 515--537 (2007; Zbl 1234.90022) Full Text: DOI EuDML
Su, Zi-lin An improved multi-population genetic algorithm for job-shop scheduling problem. (Chinese. English summary) Zbl 1229.90064 Ludong Univ. J., Nat. Sci. 23, No. 2, 130-133, 141 (2007). MSC: 90B35 90C55 PDFBibTeX XMLCite \textit{Z.-l. Su}, Ludong Univ. J., Nat. Sci. 23, No. 2, 130--133, 141 (2007; Zbl 1229.90064)
Su, Ke; Che, Jianren A modified SQP-filter method and its global convergence. (English) Zbl 1193.90215 Appl. Math. Comput. 194, No. 1, 92-101 (2007). MSC: 90C55 65K10 90C30 PDFBibTeX XMLCite \textit{K. Su} and \textit{J. Che}, Appl. Math. Comput. 194, No. 1, 92--101 (2007; Zbl 1193.90215) Full Text: DOI
Jüttler, Bert; Chalmovianský, Pavel A predictor-corrector-type technique for the approximate parameterization of intersection curves. (English) Zbl 1192.65019 Appl. Algebra Eng. Commun. Comput. 18, No. 1-2, 151-168 (2007). MSC: 65D17 41A20 90C55 14H50 53A04 PDFBibTeX XMLCite \textit{B. Jüttler} and \textit{P. Chalmovianský}, Appl. Algebra Eng. Commun. Comput. 18, No. 1--2, 151--168 (2007; Zbl 1192.65019) Full Text: DOI
Mascarenhas, Walter F. On the divergence of line search methods. (English) Zbl 1182.90099 Comput. Appl. Math. 26, No. 1, 129-169 (2007). MSC: 90C55 90C30 65K05 PDFBibTeX XMLCite \textit{W. F. Mascarenhas}, Comput. Appl. Math. 26, No. 1, 129--169 (2007; Zbl 1182.90099) Full Text: Link
Liao, Liangcai; Li, Jin; Tan, Yuejin Automatic differentiation for reduced sequential quadratic programming. (English) Zbl 1178.90349 J. Syst. Eng. Electron. 18, No. 1, 57-62 (2007). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{L. Liao} et al., J. Syst. Eng. Electron. 18, No. 1, 57--62 (2007; Zbl 1178.90349) Full Text: DOI
Mu, Xuewen; Zhang, Yaling; Liu, Sanyang Successive quadratic programming multiuser detector. (English) Zbl 1178.90350 J. Syst. Eng. Electron. 18, No. 1, 8-13 (2007). MSC: 90C55 94A13 PDFBibTeX XMLCite \textit{X. Mu} et al., J. Syst. Eng. Electron. 18, No. 1, 8--13 (2007; Zbl 1178.90350) Full Text: DOI
Mu, Xuewen; Zhang, Yaling; Liu, Nianfu A successive linear programming algorithm for SDP relaxation of binary quadratic programming. (English) Zbl 1174.90726 Sci. Magna 3, No. 4, 94-103 (2007). MSC: 90C20 90C22 PDFBibTeX XMLCite \textit{X. Mu} et al., Sci. Magna 3, No. 4, 94--103 (2007; Zbl 1174.90726)
Schittkowski, K. Parameter identification in one-dimensional partial differential algebraic equations. (English) Zbl 1158.65335 GAMM-Mitt. 30, No. 2, 352-375 (2007). MSC: 65M32 35R10 35R30 65M06 65M20 65L80 90C55 49M15 65M12 PDFBibTeX XMLCite \textit{K. Schittkowski}, GAMM-Mitt. 30, No. 2, 352--375 (2007; Zbl 1158.65335) Full Text: DOI
Zhang, Qi; Tian, Zhi-yuan; Yang, Kun A modified SQP-filter method. (English) Zbl 1161.90501 Gao, Hongwei (ed.) et al., Proceedings of the second international conference on game theory and applications, Qingdao, China, September 17–19, 2007. Liverpool: World Academic Union (World Academic Press) (ISBN 978-1-84626-166-4/hbk). 290-292 (2007). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{Q. Zhang} et al., in: Proceedings of the second international conference on game theory and applications, Qingdao, China, September 17--19, 2007. Liverpool: World Academic Union (World Academic Press). 290--292 (2007; Zbl 1161.90501)
Wang, Hua; Gui, Shenghua Trust region filter SQP method for nonlinear programming:local convergence. (Chinese. English summary) Zbl 1150.65374 J. Shanghai Second Polytech. Univ. 24, No. 4, 306-316 (2007). MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{H. Wang} and \textit{S. Gui}, J. Shanghai Second Polytech. Univ. 24, No. 4, 306--316 (2007; Zbl 1150.65374)
Mu, Xuewen; Zhang, Yaling; Liu, Sanyang A successive quadratic programming algorithm for SDP relaxation of Max-Bisection. (English) Zbl 1150.90005 Appl. Math., Ser. B (Engl. Ed.) 22, No. 4, 434-440 (2007). MSC: 90C22 90C55 PDFBibTeX XMLCite \textit{X. Mu} et al., Appl. Math., Ser. B (Engl. Ed.) 22, No. 4, 434--440 (2007; Zbl 1150.90005) Full Text: DOI
Bnouhachem, A.; Yuan, X. M. Extended LQP method for monotone nonlinear complementarity problems. (English) Zbl 1146.90078 J. Optim. Theory Appl. 135, No. 3, 343-353 (2007). MSC: 90C33 90C55 90C30 PDFBibTeX XMLCite \textit{A. Bnouhachem} and \textit{X. M. Yuan}, J. Optim. Theory Appl. 135, No. 3, 343--353 (2007; Zbl 1146.90078) Full Text: DOI
Liu, G. S.; Ye, J. J. Merit-function piecewise SQP algorithm for mathematical programs with equilibrium constraints. (English) Zbl 1152.90008 J. Optim. Theory Appl. 135, No. 3, 623-641 (2007). Reviewer: Georg Still (Enschede) MSC: 90C30 90C33 90C55 PDFBibTeX XMLCite \textit{G. S. Liu} and \textit{J. J. Ye}, J. Optim. Theory Appl. 135, No. 3, 623--641 (2007; Zbl 1152.90008) Full Text: DOI
Daili, Ch.; Daili, N. Duality gap and quadratic programming. I. (English) Zbl 1194.90063 Far East J. Appl. Math. 29, No. 2, 311-334 (2007). MSC: 90C20 90C46 90C51 90C55 PDFBibTeX XMLCite \textit{Ch. Daili} and \textit{N. Daili}, Far East J. Appl. Math. 29, No. 2, 311--334 (2007; Zbl 1194.90063)
Hu, Qing-Jie; Hu, Ju-Zhou A sequential quadratic programming algorithm for nonlinear minimax problems. (English) Zbl 1146.90088 Bull. Aust. Math. Soc. 76, No. 3, 353-368 (2007). MSC: 90C47 90C55 65K10 PDFBibTeX XMLCite \textit{Q.-J. Hu} and \textit{J.-Z. Hu}, Bull. Aust. Math. Soc. 76, No. 3, 353--368 (2007; Zbl 1146.90088) Full Text: DOI
Jian, Jin-bao; Hu, Qing-jie; Tang, Chun-ming; Zheng, Hai-yan A sequential quadratically constrained quadratic programming method of feasible directions. (English) Zbl 1144.90025 Appl. Math. Optimization 56, No. 3, 343-363 (2007). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{J.-b. Jian} et al., Appl. Math. Optim. 56, No. 3, 343--363 (2007; Zbl 1144.90025) Full Text: DOI
Shi, Zhen-Jun; Guo, Jinhua; Shen, Jie Some extensions of the trust region method. (English) Zbl 1139.90029 Pac. J. Optim. 3, No. 3, 539-554 (2007). Reviewer: Paulo Mbunga (Kiel) MSC: 90C30 65K05 90C55 PDFBibTeX XMLCite \textit{Z.-J. Shi} et al., Pac. J. Optim. 3, No. 3, 539--554 (2007; Zbl 1139.90029)
Jian, Jin-Bao; Quan, Ran; Hu, Qing-Jie A new superlinearly convergent SQP algorithm for nonlinear minimax problems. (English) Zbl 1145.90103 Acta Math. Appl. Sin., Engl. Ser. 23, No. 3, 395-410 (2007). MSC: 90C47 65K10 90C55 PDFBibTeX XMLCite \textit{J.-B. Jian} et al., Acta Math. Appl. Sin., Engl. Ser. 23, No. 3, 395--410 (2007; Zbl 1145.90103) Full Text: DOI
Argyros, Ioannis K. On the convergence of the structured PSB update in Hilbert space. (English) Zbl 1136.90046 Int. J. Pure Appl. Math. 34, No. 4, 519-524 (2007). MSC: 90C55 90C30 PDFBibTeX XMLCite \textit{I. K. Argyros}, Int. J. Pure Appl. Math. 34, No. 4, 519--524 (2007; Zbl 1136.90046)
Luo, Xin-Long; Liao, Li-Zhi; Tam, Hon Wah Convergence analysis of the Levenberg-Marquardt method. (English) Zbl 1186.90110 Optim. Methods Softw. 22, No. 4, 659-678 (2007). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{X.-L. Luo} et al., Optim. Methods Softw. 22, No. 4, 659--678 (2007; Zbl 1186.90110) Full Text: DOI
Chin, Choong Ming; Rashid, Abdul Halim Abdul; Nor, Khalid Mohamed Global and local convergence of a filter line search method for nonlinear programming. (English) Zbl 1193.90192 Optim. Methods Softw. 22, No. 3, 365-390 (2007). MSC: 90C30 65K05 65K10 90C55 PDFBibTeX XMLCite \textit{C. M. Chin} et al., Optim. Methods Softw. 22, No. 3, 365--390 (2007; Zbl 1193.90192) Full Text: DOI
Ji, Ying; Zhang, Ke-Cun; Qu, Shao-Jian; Zhou, Ying A trust-region method by active-set strategy for general nonlinear optimization. (English) Zbl 1126.90425 Comput. Math. Appl. 54, No. 2, 229-241 (2007). MSC: 90C55 PDFBibTeX XMLCite \textit{Y. Ji} et al., Comput. Math. Appl. 54, No. 2, 229--241 (2007; Zbl 1126.90425) Full Text: DOI
Engelberg, Roee; Könemann, Jochen; Leonardi, Stefano; Naor, Joseph (Seffi) Cut problems in graphs with a budget constraint. (English) Zbl 1135.90419 J. Discrete Algorithms 5, No. 2, 262-279 (2007). MSC: 90C35 05C40 90C55 PDFBibTeX XMLCite \textit{R. Engelberg} et al., J. Discrete Algorithms 5, No. 2, 262--279 (2007; Zbl 1135.90419) Full Text: DOI
Tuy, Hoang; Hoai-Phuong, N. T. A robust algorithm for quadratic optimization under quadratic constraints. (English) Zbl 1198.90316 J. Glob. Optim. 37, No. 4, 557-569 (2007). MSC: 90C20 90C57 PDFBibTeX XMLCite \textit{H. Tuy} and \textit{N. T. Hoai-Phuong}, J. Glob. Optim. 37, No. 4, 557--569 (2007; Zbl 1198.90316) Full Text: DOI
Liu, Taowen; Li, Donghui Convergence of the BFGS-SQP method for degenerate problems. (English) Zbl 1149.90111 Numer. Funct. Anal. Optim. 28, No. 7-8, 927-944 (2007). MSC: 90C15 90C55 PDFBibTeX XMLCite \textit{T. Liu} and \textit{D. Li}, Numer. Funct. Anal. Optim. 28, No. 7--8, 927--944 (2007; Zbl 1149.90111) Full Text: DOI
Lin, Shieh-Shing An efficient graph technique based dual-type algorithm for NMNF problems with large capacity constraints. (English) Zbl 1122.65361 Appl. Math. Comput. 190, No. 1, 309-320 (2007). MSC: 65K05 90C35 90C55 PDFBibTeX XMLCite \textit{S.-S. Lin}, Appl. Math. Comput. 190, No. 1, 309--320 (2007; Zbl 1122.65361) Full Text: DOI
Lukáš, Dalibor Multigrid-based optimal shape and topology design in magnetostatics. (English) Zbl 1137.65369 Boyanov, Todor (ed.) et al., Numerical methods and applications. 6th international conference, NMA 2006, Borovets, Bulgaria, August 20–24, 2006. Revised papers. Berlin: Springer (ISBN 978-3-540-70940-4/pbk). Lecture Notes in Computer Science 4310, 82-90 (2007). MSC: 65K10 49J20 65F35 65H10 90C55 35J65 65N55 78A30 78M20 65N06 49Q10 49M37 PDFBibTeX XMLCite \textit{D. Lukáš}, Lect. Notes Comput. Sci. 4310, 82--90 (2007; Zbl 1137.65369) Full Text: DOI
Liu, Tao-Wen; Li, Dong-Hui A practical update criterion for SQP method. (English) Zbl 1130.90056 Optim. Methods Softw. 22, No. 2, 253-266 (2007). Reviewer: Carlos Narciso Bouza Herrera (Habana) MSC: 90C53 65K05 90C55 90-02 PDFBibTeX XMLCite \textit{T.-W. Liu} and \textit{D.-H. Li}, Optim. Methods Softw. 22, No. 2, 253--266 (2007; Zbl 1130.90056) Full Text: DOI
Zhang, Ji-Wei; Li, Dong-Hui A norm descent BFGS method for solving KKT systems of symmetric variational inequality problems. (English) Zbl 1130.90057 Optim. Methods Softw. 22, No. 2, 237-252 (2007). Reviewer: Carlos Narciso Bouza Herrera (Habana) MSC: 90C55 65K10 PDFBibTeX XMLCite \textit{J.-W. Zhang} and \textit{D.-H. Li}, Optim. Methods Softw. 22, No. 2, 237--252 (2007; Zbl 1130.90057) Full Text: DOI
Moghrabi, Issam A. R. Numerical experience with multiple update quasi-Newton methods for unconstrained optimization. (English) Zbl 1344.65055 J. Math. Model. Algorithms 6, No. 2, 231-238 (2007). MSC: 65K05 90C55 90-04 PDFBibTeX XMLCite \textit{I. A. R. Moghrabi}, J. Math. Model. Algorithms 6, No. 2, 231--238 (2007; Zbl 1344.65055) Full Text: DOI
Che, Jianren; Su, Ke A modified SQP method and its global convergence. (English) Zbl 1118.65060 Appl. Math. Comput. 186, No. 2, 945-951 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C55 PDFBibTeX XMLCite \textit{J. Che} and \textit{K. Su}, Appl. Math. Comput. 186, No. 2, 945--951 (2007; Zbl 1118.65060) Full Text: DOI
Freund, Roland W.; Jarre, Florian; Vogelbusch, Christoph H. Nonlinear semidefinite programming: sensitivity, convergence, and an application in passive reduced-order modeling. (English) Zbl 1147.90030 Math. Program. 109, No. 2-3 (B), 581-611 (2007). Reviewer: Walter Gómez Bofill (Temuco) MSC: 90C22 90C31 90C55 65K05 PDFBibTeX XMLCite \textit{R. W. Freund} et al., Math. Program. 109, No. 2--3 (B), 581--611 (2007; Zbl 1147.90030) Full Text: DOI arXiv Link
Nie, Pu-Yan Sequential penalty quadratic programming filter methods for nonlinear programming. (English) Zbl 1168.90018 Nonlinear Anal., Real World Appl. 8, No. 1, 118-129 (2007). MSC: 90C55 65K05 90C30 PDFBibTeX XMLCite \textit{P.-Y. Nie}, Nonlinear Anal., Real World Appl. 8, No. 1, 118--129 (2007; Zbl 1168.90018) Full Text: DOI