Bidabadi, N. Using a spectral scaling structured BFGS method for constrained nonlinear least squares. (English) Zbl 1415.90117 Optim. Methods Softw. 34, No. 4, 693-706 (2019). MSC: 90C30 90C55 PDF BibTeX XML Cite \textit{N. Bidabadi}, Optim. Methods Softw. 34, No. 4, 693--706 (2019; Zbl 1415.90117) Full Text: DOI OpenURL
Pestana, Jennifer; Rees, Tyrone Null-space preconditioners for saddle point systems. (English) Zbl 1347.65060 SIAM J. Matrix Anal. Appl. 37, No. 3, 1103-1128 (2016). MSC: 65F08 65F10 65F50 PDF BibTeX XML Cite \textit{J. Pestana} and \textit{T. Rees}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1103--1128 (2016; Zbl 1347.65060) Full Text: DOI OpenURL
Cannataro, Begüm Şenses; Rao, Anil V.; Davis, Timothy A. State-defect constraint pairing graph coarsening method for Karush-Kuhn-Tucker matrices arising in orthogonal collocation methods for optimal control. (English) Zbl 1348.49024 Comput. Optim. Appl. 64, No. 3, 793-819 (2016). MSC: 49M25 49M37 65K05 90C30 PDF BibTeX XML Cite \textit{B. Ş. Cannataro} et al., Comput. Optim. Appl. 64, No. 3, 793--819 (2016; Zbl 1348.49024) Full Text: DOI OpenURL
Ansari, Mohammad Reza; Mahdavi-Amiri, Nezam A robust combined trust region-line search exact penalty projected structured scheme for constrained nonlinear least squares. (English) Zbl 1326.49048 Optim. Methods Softw. 30, No. 1, 162-190 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49M37 90C53 90C55 PDF BibTeX XML Cite \textit{M. R. Ansari} and \textit{N. Mahdavi-Amiri}, Optim. Methods Softw. 30, No. 1, 162--190 (2015; Zbl 1326.49048) Full Text: DOI OpenURL
Cai, Li; Wang, Zhujun; Zhu, Detong A line search filter inexact reduced Hessian method for nonlinear equality constrained optimization. (English) Zbl 1317.49043 J. Appl. Math. Comput. 48, No. 1-2, 365-380 (2015). MSC: 49M37 90C30 65K05 PDF BibTeX XML Cite \textit{L. Cai} et al., J. Appl. Math. Comput. 48, No. 1--2, 365--380 (2015; Zbl 1317.49043) Full Text: DOI OpenURL
Bidabadi, Narges; Mahdavi-Amiri, Nezam Superlinearly convergent exact penalty methods with projected structured secant updates for constrained nonlinear least squares. (English) Zbl 1321.90126 J. Optim. Theory Appl. 162, No. 1, 154-190 (2014). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 PDF BibTeX XML Cite \textit{N. Bidabadi} and \textit{N. Mahdavi-Amiri}, J. Optim. Theory Appl. 162, No. 1, 154--190 (2014; Zbl 1321.90126) Full Text: DOI OpenURL
Ge, Hengwu; Chen, Zhongwen A penalty-free method with line search for nonlinear equality constrained optimization. (English) Zbl 1427.65093 Appl. Math. Modelling 37, No. 24, 9934-9949 (2013). MSC: 65K05 90C30 90C55 PDF BibTeX XML Cite \textit{H. Ge} and \textit{Z. Chen}, Appl. Math. Modelling 37, No. 24, 9934--9949 (2013; Zbl 1427.65093) Full Text: DOI OpenURL
Gu, Chao A dwindling filter inexact projected Hessian algorithm for large scale nonlinear constrained optimization. (English) Zbl 1302.65154 Appl. Math. Comput. 219, No. 23, 10898-10908 (2013). MSC: 65K10 90C30 90C06 PDF BibTeX XML Cite \textit{C. Gu}, Appl. Math. Comput. 219, No. 23, 10898--10908 (2013; Zbl 1302.65154) Full Text: DOI OpenURL
Gu, Chao; Zhu, Detong A nonmonotone line search filter method with reduced Hessian updating for nonlinear optimization. (English) Zbl 1292.90279 J. Syst. Sci. Complex. 26, No. 4, 534-555 (2013). MSC: 90C30 93A15 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, J. Syst. Sci. Complex. 26, No. 4, 534--555 (2013; Zbl 1292.90279) Full Text: DOI OpenURL
Bidabadi, Narges; Mahdavi-Amiri, Nezam A two-step superlinearly convergent projected structured BFGS method for constrained nonlinear least squares. (English) Zbl 1273.90240 Optimization 62, No. 6, 797-815 (2013). MSC: 90C53 PDF BibTeX XML Cite \textit{N. Bidabadi} and \textit{N. Mahdavi-Amiri}, Optimization 62, No. 6, 797--815 (2013; Zbl 1273.90240) Full Text: DOI OpenURL
Wang, Zhujun; Zhu, Detong A reduced Hessian algorithm with line search filter method for nonlinear programming. (English) Zbl 1226.65059 Appl. Math. Comput. 217, No. 19, 7679-7691 (2011). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{Z. Wang} and \textit{D. Zhu}, Appl. Math. Comput. 217, No. 19, 7679--7691 (2011; Zbl 1226.65059) Full Text: DOI OpenURL
Liu, Tao-Wen A reduced Hessian SQP method for inequality constrained optimization. (English) Zbl 1242.90298 Comput. Optim. Appl. 49, No. 1, 31-59 (2011). MSC: 90C55 90C30 PDF BibTeX XML Cite \textit{T.-W. Liu}, Comput. Optim. Appl. 49, No. 1, 31--59 (2011; Zbl 1242.90298) Full Text: DOI OpenURL
Gu, Chao; Zhu, Detong A secant algorithm with line search filter method for nonlinear optimization. (English) Zbl 1205.90007 Appl. Math. Modelling 35, No. 2, 879-894 (2011). MSC: 90-04 90C30 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, Appl. Math. Modelling 35, No. 2, 879--894 (2011; Zbl 1205.90007) Full Text: DOI OpenURL
Gu, Chao; Zhu, Detong A filter interior-point algorithm with projected Hessian updating for nonlinear optimization. (English) Zbl 1172.49019 J. Appl. Math. Comput. 29, No. 1-2, 67-80 (2009). MSC: 49M37 65K05 90C30 90C51 90C55 PDF BibTeX XML Cite \textit{C. Gu} and \textit{D. Zhu}, J. Appl. Math. Comput. 29, No. 1--2, 67--80 (2009; Zbl 1172.49019) Full Text: DOI OpenURL
Guo, Peihua; Zhu, Detong Nonmonotonic reduced projected Hessian method via an affine scaling interior modified gradient path for bounded-constrained optimization. (English) Zbl 1176.65073 J. Syst. Sci. Complex. 21, No. 1, 85-113 (2008). MSC: 65K05 90C30 90C51 PDF BibTeX XML Cite \textit{P. Guo} and \textit{D. Zhu}, J. Syst. Sci. Complex. 21, No. 1, 85--113 (2008; Zbl 1176.65073) Full Text: DOI OpenURL
Bock, H. G.; Kostina, E.; Schäfer, A.; Schlöder, J. P.; Schulz, V. Multiple set point partially reduced SQP method for optimal control of PDE. (English) Zbl 1398.76197 Jäger, Willi (ed.) et al., Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer (ISBN 3-540-28379-X/hbk). 147-175 (2007). MSC: 76N25 76U05 76V05 90C20 PDF BibTeX XML Cite \textit{H. G. Bock} et al., in: Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer. 147--175 (2007; Zbl 1398.76197) Full Text: DOI OpenURL
Liu, Tao-Wen; Li, Dong-Hui A cautious BFGS update for reduced Hessian SQP. (English) Zbl 1117.65090 Numer. Algorithms 44, No. 1, 11-28 (2007). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 90C53 90C06 PDF BibTeX XML Cite \textit{T.-W. Liu} and \textit{D.-H. Li}, Numer. Algorithms 44, No. 1, 11--28 (2007; Zbl 1117.65090) Full Text: DOI OpenURL
Zhu, Detong An affine scaling projective reduced Hessian algorithm for minimum optimization with nonlinear equality and linear inequality constraints. (English) Zbl 1078.65057 Appl. Math. Comput. 166, No. 1, 131-163 (2005). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C26 90C51 PDF BibTeX XML Cite \textit{D. Zhu}, Appl. Math. Comput. 166, No. 1, 131--163 (2005; Zbl 1078.65057) Full Text: DOI OpenURL
Zhu, Detong An interior affine scaling projective algorithm for nonlinear equality and linear inequality constrained optimization. (English) Zbl 1070.65045 J. Comput. Appl. Math. 173, No. 1, 115-148 (2005). Reviewer: H. Ratschek (Düsseldorf) MSC: 65K05 90C30 90C51 PDF BibTeX XML Cite \textit{D. Zhu}, J. Comput. Appl. Math. 173, No. 1, 115--148 (2005; Zbl 1070.65045) Full Text: DOI OpenURL
Zhu, Detong Interior point projected reduced Hessian method with trust region strategy for nonlinear constrained optimization. (English) Zbl 1190.90227 Appl. Math., Ser. B (Engl. Ed.) 19, No. 3, 311-326 (2004). MSC: 90C30 65K05 90C55 PDF BibTeX XML Cite \textit{D. Zhu}, Appl. Math., Ser. B (Engl. Ed.) 19, No. 3, 311--326 (2004; Zbl 1190.90227) Full Text: DOI OpenURL
Zhu, Detong A two-piece update of projected Hessian algorithm with nonmonotonic trust region method for constrained optimization. (English) Zbl 1071.65091 Appl. Math. Comput. 157, No. 1, 127-151 (2004). Reviewer: Dorel I. Duca (Cluj-Napoca) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{D. Zhu}, Appl. Math. Comput. 157, No. 1, 127--151 (2004; Zbl 1071.65091) Full Text: DOI OpenURL
Zhu, Detong An affine scaling interior point backtracking algorithm for nonlinear constrained optimisation. (English) Zbl 1120.90069 ANZIAM J. 46, No. 1, 45-66 (2004). MSC: 90C51 90C30 PDF BibTeX XML Cite \textit{D. Zhu}, ANZIAM J. 46, No. 1, 45--66 (2004; Zbl 1120.90069) Full Text: DOI OpenURL
Yu, Zhensheng; Wang, Changyu; Yu, Jiguo Combining trust region and linesearch algorithm for equality constrained optimization. (English) Zbl 1053.90122 J. Appl. Math. Comput. 14, No. 1-2, 123-136 (2003); errata ibid. 16, No. 1-2 (2004). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{Z. Yu} et al., J. Appl. Math. Comput. 14, No. 1--2, 123--136 (2004; Zbl 1053.90122) Full Text: DOI OpenURL
Li, Zheng-Feng; Osborne, M. R.; Prvan, T. Numerical algorithms for constrained maximum likelihood estimation. (English) Zbl 1187.65008 ANZIAM J. 45, No. 1, 91-114 (2003). MSC: 65C60 62F30 90C55 PDF BibTeX XML Cite \textit{Z.-F. Li} et al., ANZIAM J. 45, No. 1, 91--114 (2003; Zbl 1187.65008) Full Text: DOI OpenURL
Zhu, Detong Secant algorithms with nonmonotone trust region that employs Fletcher penalty function for constrained optimization. (English) Zbl 1049.90093 Optimization 50, No. 1-2, 121-153 (2001). MSC: 90C30 65K10 PDF BibTeX XML Cite \textit{D. Zhu}, Optimization 50, No. 1--2, 121--153 (2001; Zbl 1049.90093) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{D. Zhu}, J. Comput. Appl. Math. 136, No. 1--2, 73--97 (2001; Zbl 0989.65064) Full Text: DOI OpenURL
Egartner, Wolfgang Working range optimization for turbine and compressor blading. (English) Zbl 0957.65067 J. Comput. Appl. Math. 120, No. 1-2, 59-65 (2000). Reviewer: Ants Roose (Tallinn) MSC: 65K05 76N15 76M25 90C55 90C90 PDF BibTeX XML Cite \textit{W. Egartner}, J. Comput. Appl. Math. 120, No. 1--2, 59--65 (2000; Zbl 0957.65067) Full Text: DOI OpenURL
Zhu, Detong Nonmonotonic projected algorithm with both trust region and line search for constrained optimization. (English) Zbl 0951.65056 J. Comput. Appl. Math. 117, No. 1, 35-60 (2000). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{D. Zhu}, J. Comput. Appl. Math. 117, No. 1, 35--60 (2000; Zbl 0951.65056) Full Text: DOI OpenURL
Spellucci, P. A new technique for inconsistent QP problems in the SQP method. (English) Zbl 0964.90062 Math. Methods Oper. Res. 47, No. 3, 355-400 (1998). Reviewer: S.M.Allende-Alonso (Ciudad Habana) MSC: 90C55 49M37 90C30 PDF BibTeX XML Cite \textit{P. Spellucci}, Math. Methods Oper. Res. 47, No. 3, 355--400 (1998; Zbl 0964.90062) Full Text: DOI OpenURL
Spellucci, P. An SQP method for general nonlinear programs using only equality constrained subproblems. (English) Zbl 0930.90082 Math. Program. 82, No. 3 (A), 413-448 (1998). MSC: 90C55 90C30 PDF BibTeX XML Cite \textit{P. Spellucci}, Math. Program. 82, No. 3 (A), 413--448 (1998; Zbl 0930.90082) Full Text: DOI OpenURL
Vicente, Luis N. On interior-point Newton algorithms for discretized optimal control problems with state constraints. (English) Zbl 0903.49020 Optim. Methods Softw. 8, No. 3-4, 249-275 (1998). MSC: 49M37 90C30 90C06 PDF BibTeX XML Cite \textit{L. N. Vicente}, Optim. Methods Softw. 8, No. 3--4, 249--275 (1998; Zbl 0903.49020) Full Text: DOI OpenURL
Xiu, Naihua; Wu, Fang A feasible trust region method for nonlinear inequality constrained optimization. (English) Zbl 0910.90249 Optimization 43, No. 3, 257-282 (1998). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{N. Xiu} and \textit{F. Wu}, Optimization 43, No. 3, 257--282 (1998; Zbl 0910.90249) Full Text: DOI OpenURL
Schulz, Volker; Bock, Hans Georg Partially reduced SQP methods for large-scale nonlinear optimization problems. (English) Zbl 0913.49019 Nonlinear Anal., Theory Methods Appl. 30, No. 8, 4723-4734 (1997). Reviewer: M.Voicu (Iaşi) MSC: 90C20 93C99 PDF BibTeX XML Cite \textit{V. Schulz} and \textit{H. G. Bock}, Nonlinear Anal., Theory Methods Appl. 30, No. 8, 4723--4734 (1997; Zbl 0913.49019) Full Text: DOI OpenURL
Orozco, Carlos E.; Ghattas, Omar N. A reduced SAND method for optimal design of nonlinear structures. (English) Zbl 0895.73050 Int. J. Numer. Methods Eng. 40, No. 15, 2759-2774 (1997). MSC: 74P99 90C20 PDF BibTeX XML Cite \textit{C. E. Orozco} and \textit{O. N. Ghattas}, Int. J. Numer. Methods Eng. 40, No. 15, 2759--2774 (1997; Zbl 0895.73050) Full Text: DOI OpenURL
Facchinei, F.; Lucidi, S. Quadratically and superlinearly convergent algorithms for the solution of inequality constrained minimization problems. (English) Zbl 0830.90125 J. Optimization Theory Appl. 85, No. 2, 265-289 (1995). Reviewer: F.Facchinei (Roma) MSC: 90C30 PDF BibTeX XML Cite \textit{F. Facchinei} and \textit{S. Lucidi}, J. Optim. Theory Appl. 85, No. 2, 265--289 (1995; Zbl 0830.90125) Full Text: DOI OpenURL
Zhang, Jianzhong; Zhu, Detong A projective quasi-Newton method for nonlinear optimization. (English) Zbl 0828.65066 J. Comput. Appl. Math. 53, No. 3, 291-307 (1994). Reviewer: J.Guddat (Berlin) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{D. Zhu}, J. Comput. Appl. Math. 53, No. 3, 291--307 (1994; Zbl 0828.65066) Full Text: DOI OpenURL
Rustem, B. Two-step and three-step Q-superlinear convergence of SQP methods. (English) Zbl 0813.90105 J. Optimization Theory Appl. 83, No. 3, 613-619 (1994). MSC: 90C30 PDF BibTeX XML Cite \textit{B. Rustem}, J. Optim. Theory Appl. 83, No. 3, 613--619 (1994; Zbl 0813.90105) Full Text: DOI OpenURL
Zhang, Jianzhong; Zhu, Detong A convergent secant method for constrained optimization. (English) Zbl 0809.65061 Japan J. Ind. Appl. Math. 11, No. 2, 265-288 (1994). Reviewer: J.Terno (Dresden) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{D. Zhu}, Japan J. Ind. Appl. Math. 11, No. 2, 265--288 (1994; Zbl 0809.65061) Full Text: DOI OpenURL
Zhu, Detong A nonmonotone line search technique for improved projected quasi-Newton methods. (English) Zbl 0818.90117 Optimization 28, No. 1, 31-45 (1993). MSC: 90C30 49M15 65K05 PDF BibTeX XML Cite \textit{D. Zhu}, Optimization 28, No. 1, 31--45 (1993; Zbl 0818.90117) Full Text: DOI OpenURL
Huschens, J. Exploiting additional structure in equality constrained optimization by structured SQP secant algorithms. (English) Zbl 0792.90069 J. Optimization Theory Appl. 77, No. 2, 343-358 (1993). MSC: 90C30 PDF BibTeX XML Cite \textit{J. Huschens}, J. Optim. Theory Appl. 77, No. 2, 343--358 (1993; Zbl 0792.90069) Full Text: DOI OpenURL
Liao, Aiping A reduced Hessian method for constrained optimization. (English) Zbl 0794.90065 Comput. Optim. Appl. 2, No. 2, 129-143 (1993). MSC: 90C30 PDF BibTeX XML Cite \textit{A. Liao}, Comput. Optim. Appl. 2, No. 2, 129--143 (1993; Zbl 0794.90065) Full Text: DOI OpenURL
Lucia, A.; Xu, J.; D’Couto, G. C. Sparse quadratic programming in chemical process optimization. (English) Zbl 0774.90061 Ann. Oper. Res. 42, No. 1-4, 55-83 (1993). MSC: 90C20 90C90 90-08 PDF BibTeX XML Cite \textit{A. Lucia} et al., Ann. Oper. Res. 42, No. 1--4, 55--83 (1993; Zbl 0774.90061) Full Text: DOI OpenURL
Coleman, Thomas F.; Liao, Ai-Ping The local convergence of the Byrd-Schnabel algorithm for constrained optimization. (English) Zbl 0773.90066 Appl. Math. Lett. 6, No. 3, 37-42 (1993). MSC: 90C30 65K05 90-08 PDF BibTeX XML Cite \textit{T. F. Coleman} and \textit{A.-P. Liao}, Appl. Math. Lett. 6, No. 3, 37--42 (1993; Zbl 0773.90066) Full Text: DOI OpenURL
Zhu, D. T. Convergence of a projected gradient method with trust region for nonlinear constrained optimization. (English) Zbl 0814.65061 Optimization 23, No. 3, 215-235 (1992). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{D. T. Zhu}, Optimization 23, No. 3, 215--235 (1992; Zbl 0814.65061) Full Text: DOI OpenURL
Zhang, Yin Computing a Celis-Dennis-Tapia trust-region step for equality constrained optimization. (English) Zbl 0773.90056 Math. Program. 55, No. 1 (A), 109-124 (1992). MSC: 90C25 90-08 PDF BibTeX XML Cite \textit{Y. Zhang}, Math. Program. 55, No. 1 (A), 109--124 (1992; Zbl 0773.90056) Full Text: DOI OpenURL
Coleman, Thomas F.; Fenyes, Peter A. Partitioned quasi-Newton methods for nonlinear equality constrained optimization. (English) Zbl 0751.90070 Math. Program., Ser. A 53, No. 1, 17-44 (1992). Reviewer: Wang Zeke (Guangzhou) MSC: 90C30 65K05 90-08 49M30 65H10 90C20 65K10 PDF BibTeX XML Cite \textit{T. F. Coleman} and \textit{P. A. Fenyes}, Math. Program. 53, No. 1 (A), 17--44 (1992; Zbl 0751.90070) Full Text: DOI OpenURL
Kupfer, F.-S.; Sachs, E. W. Numerical solution of a nonlinear parabolic control problem by a reduced SQP method. (English) Zbl 0771.49010 Comput. Optim. Appl. 1, No. 1, 113-135 (1992). Reviewer: W.H.Schmidt (Greifswald) MSC: 90C20 49J20 35K05 90C90 90-08 49N70 49N75 PDF BibTeX XML Cite \textit{F. S. Kupfer} and \textit{E. W. Sachs}, Comput. Optim. Appl. 1, No. 1, 113--135 (1992; Zbl 0771.49010) Full Text: DOI OpenURL
Gilbert, Jean Charles Maintaining the positive definiteness of the matrices in reduced secant methods for equality constrained optimization. (English) Zbl 0721.90068 Math. Program., Ser. A 50, No. 1, 1-28 (1991). Reviewer: C.Vârsan (Bucureşti) MSC: 90C30 49M30 90-08 PDF BibTeX XML Cite \textit{J. C. Gilbert}, Math. Program. 50, No. 1 (A), 1--28 (1991; Zbl 0721.90068) Full Text: DOI OpenURL
Byrd, Richard H.; Nocedal, Jorge An analysis of reduced Hessian methods for constrained optimization. (English) Zbl 0719.90071 Math. Program., Ser. A 49, No. 3, 285-323 (1991). MSC: 90C30 49M15 65K05 49M30 90-08 90C20 PDF BibTeX XML Cite \textit{R. H. Byrd} and \textit{J. Nocedal}, Math. Program. 49, No. 3 (A), 285--323 (1991; Zbl 0719.90071) Full Text: DOI OpenURL
Zhang, Jianzhong; Zhu, Detong A trust region typed dogleg method for nonlinear optimization. (English) Zbl 0723.90068 Optimization 21, No. 4, 543-557 (1990). Reviewer: A.Žilinskas (Vilnius) MSC: 90C30 49M30 65K05 90-08 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{D. Zhu}, Optimization 21, No. 4, 543--557 (1990; Zbl 0723.90068) Full Text: DOI OpenURL
Zhang, J. Z.; Zhu, D. T. Projected quasi-Newton algorithm with trust region for constrained optimization. (English) Zbl 0696.90050 J. Optimization Theory Appl. 67, No. 2, 369-393 (1990). Reviewer: J.Z.Zhang MSC: 90C30 49M30 65K05 49M15 90-08 PDF BibTeX XML Cite \textit{J. Z. Zhang} and \textit{D. T. Zhu}, J. Optim. Theory Appl. 67, No. 2, 369--393 (1990; Zbl 0696.90050) Full Text: DOI OpenURL
Fletcher, R.; Sainz de la Maza, E. Nonlinear programming and nonsmooth optimization by successive linear programming. (English) Zbl 0724.90062 Math. Program., Ser. A 43, No. 3, 235-256 (1989). MSC: 90C30 90-08 49M30 PDF BibTeX XML Cite \textit{R. Fletcher} and \textit{E. Sainz de la Maza}, Math. Program. 43, No. 3 (A), 235--256 (1989; Zbl 0724.90062) Full Text: DOI OpenURL
Zhang, Jianzhong; Zhu, Detong; Hou, Shaoping Some improved projected quasi-Newton algorithms and their convergence. II: Local convergence rate and numerical tests. (English) Zbl 0683.65047 Acta Math. Appl. Sin., Engl. Ser. 5, No. 1, 46-59 (1989). Reviewer: H.Benker MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 5, No. 1, 46--59 (1989; Zbl 0683.65047) Full Text: DOI OpenURL
Zhang, Jianzhong; Zhu, Detong; Hou, Shaoping Some improved projected quasi-Newton algorithms and their convergence. I: Methods and global behavior. (English) Zbl 0683.65046 Acta Math. Appl. Sin., Engl. Ser. 5, No. 1, 33-45 (1989). Reviewer: H.Benker MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 5, No. 1, 33--45 (1989; Zbl 0683.65046) Full Text: DOI OpenURL
Gilbert, J. Ch. On the local and global convergence of a reduced quasi-Newton method. (English) Zbl 0676.90061 Optimization 20, No. 4, 421-450 (1989). MSC: 90C30 65K05 49M30 49M05 PDF BibTeX XML Cite \textit{J. Ch. Gilbert}, Optimization 20, No. 4, 421--450 (1989; Zbl 0676.90061) Full Text: DOI OpenURL
Hoy, Annegret An efficiently implementable Gauss-Newton-like method for solving singular nonlinear equations. (English) Zbl 0662.65044 Computing 41, No. 1-2, 107-122 (1989). Reviewer: P.I.Ialamov MSC: 65H10 PDF BibTeX XML Cite \textit{A. Hoy}, Computing 41, No. 1--2, 107--122 (1989; Zbl 0662.65044) Full Text: DOI OpenURL
Gill, Philip E.; Murray, Walter; Saunders, Michael A.; Wright, Margaret H. Recent developments in constrained optimization. (English) Zbl 0659.90075 J. Comput. Appl. Math. 22, No. 2-3, 257-270 (1988). Reviewer: J.Abrham MSC: 90C30 90-02 49M37 49M30 65K05 90C20 PDF BibTeX XML Cite \textit{P. E. Gill} et al., J. Comput. Appl. Math. 22, No. 2--3, 257--270 (1988; Zbl 0659.90075) Full Text: DOI OpenURL
Tapia, Richard On secant updates for use in general constrained optimization. (English) Zbl 0657.90088 Math. Comput. 51, No. 183, 181-202 (1988). Reviewer: S.Mititelu MSC: 90C30 65K05 90C20 49M15 PDF BibTeX XML Cite \textit{R. Tapia}, Math. Comput. 51, No. 183, 181--202 (1988; Zbl 0657.90088) Full Text: DOI OpenURL
Gilbert, Jean Charles Mise a jour de la métrique dans les méthodes de quasi-Newton réduites en optimisation avec contraintes d’égalité. (Updating for the metric in the reduced quasi-Newton methods in optimization with equality constraints). (French) Zbl 0657.65087 RAIRO, Modélisation Math. Anal. Numér. 22, No. 2, 251-288 (1988). Reviewer: T.F.Coleman MSC: 65K05 65H10 90C30 PDF BibTeX XML Cite \textit{J. C. Gilbert}, RAIRO, Modélisation Math. Anal. Numér. 22, No. 2, 251--288 (1988; Zbl 0657.65087) Full Text: DOI EuDML OpenURL
Dunn, J. C. A projected Newton method for minimization problems with nonlinear inequality constraints. (English) Zbl 0632.90058 Numer. Math. 53, No. 4, 377-409 (1988). Reviewer: J.C.Dunn MSC: 90C30 49M15 65K05 PDF BibTeX XML Cite \textit{J. C. Dunn}, Numer. Math. 53, No. 4, 377--409 (1988; Zbl 0632.90058) Full Text: DOI EuDML OpenURL
Gawande, M.; Dunn, J. C. A projected Newton method in a Cartesian product of balls. (English) Zbl 0628.90063 J. Optimization Theory Appl. 59, No. 1, 45-69 (1988). MSC: 90C30 49M37 65K05 90C39 PDF BibTeX XML Cite \textit{M. Gawande} and \textit{J. C. Dunn}, J. Optim. Theory Appl. 59, No. 1, 45--69 (1988; Zbl 0628.90063) Full Text: DOI OpenURL
Fontecilla, R. A heuristic algorithm for nonlinear programming. (English) Zbl 0628.90061 J. Optimization Theory Appl. 58, No. 3, 431-442 (1988). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{R. Fontecilla}, J. Optim. Theory Appl. 58, No. 3, 431--442 (1988; Zbl 0628.90061) Full Text: DOI OpenURL
Menzel, R. An efficient algorithm for a class of equality-constrained optimization problems. (English) Zbl 0646.90073 Optimization 18, 533-543 (1987). Reviewer: J.Ramik MSC: 90C30 65H10 65K05 PDF BibTeX XML Cite \textit{R. Menzel}, Optimization 18, 533--543 (1987; Zbl 0646.90073) Full Text: DOI OpenURL
Hager, W. W. Dual techniques for constrained optimization. (English) Zbl 0622.90075 J. Optimization Theory Appl. 55, No. 1-2, 37-71 (1987). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{W. W. Hager}, J. Optim. Theory Appl. 55, No. 1--2, 37--71 (1987; Zbl 0622.90075) Full Text: DOI OpenURL
Wright, Stephen J. Local properties of inexact methods for minimizing nonsmooth composite functions. (English) Zbl 0622.90072 Math. Program. 37, 232-252 (1987). Reviewer: J.-E.Martinez-Legaz MSC: 90C30 90C20 65K05 PDF BibTeX XML Cite \textit{S. J. Wright}, Math. Program. 37, 232--252 (1987; Zbl 0622.90072) Full Text: DOI OpenURL
Byrd, Richard H.; Schnabel, Robert B. Continuity of the null space basis and constrained optimization. (English) Zbl 0598.90072 Math. Program. 35, 32-41 (1986). Reviewer: M.Rijckaert MSC: 90C30 49M37 PDF BibTeX XML Cite \textit{R. H. Byrd} and \textit{R. B. Schnabel}, Math. Program. 35, 32--41 (1986; Zbl 0598.90072) Full Text: DOI OpenURL
Goodman, Jonathan Newton’s method for constrained optimization. (English) Zbl 0589.90065 Math. Program. 33, 162-171 (1985). Reviewer: J.Ramik MSC: 90C30 49M37 65K05 49M29 49M05 PDF BibTeX XML Cite \textit{J. Goodman}, Math. Program. 33, 162--171 (1985; Zbl 0589.90065) Full Text: DOI OpenURL
Yuan, Yaxiang On the superlinear convergence of a trust region algorithm for nonsmooth optimization. (English) Zbl 0577.90066 Math. Program. 31, 269-285 (1985). Reviewer: Yaxiang Yuan MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{Y. Yuan}, Math. Program. 31, 269--285 (1985; Zbl 0577.90066) Full Text: DOI OpenURL
Yuan, Yaxiang An only 2-step \(Q\)-superlinear convergence example for some algorithms that use reduced Hessian approximations. (English) Zbl 0565.90060 Math. Program. 32, 224-231 (1985). Reviewer: Yaxiang Yuan MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{Y. Yuan}, Math. Program. 32, 224--231 (1985; Zbl 0565.90060) Full Text: DOI OpenURL