Gratton, Serge; Kopaničáková, Alena; Toint, Philippe L. Multilevel objective-function-free optimization with an application to neural networks training. (English) Zbl 1522.90201 SIAM J. Optim. 33, No. 4, 2772-2800 (2023). MSC: 90C30 65K05 90C26 90C06 65M55 68T07 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 33, No. 4, 2772--2800 (2023; Zbl 1522.90201) Full Text: DOI arXiv
Deussen, Jens; Naumann, Uwe Subdomain separability in global optimization. (English) Zbl 1515.65111 J. Glob. Optim. 86, No. 3, 573-588 (2023). MSC: 65G30 90C26 PDFBibTeX XMLCite \textit{J. Deussen} and \textit{U. Naumann}, J. Glob. Optim. 86, No. 3, 573--588 (2023; Zbl 1515.65111) Full Text: DOI arXiv
Yuan, Gonglin; Li, Pengyuan; Lu, Junyu The global convergence of the BFGS method with a modified WWP line search for nonconvex functions. (English) Zbl 1496.65079 Numer. Algorithms 91, No. 1, 353-365 (2022). MSC: 65K05 90C26 90C53 PDFBibTeX XMLCite \textit{G. Yuan} et al., Numer. Algorithms 91, No. 1, 353--365 (2022; Zbl 1496.65079) Full Text: DOI
Hespanhol, Pedro; Quirynen, Rien Adjoint-based SQP method with block-wise quasi-Newton Jacobian updates for nonlinear optimal control. (English) Zbl 1491.49015 Optim. Methods Softw. 36, No. 5, 1030-1058 (2021). MSC: 49K15 49M37 90C53 65K05 PDFBibTeX XMLCite \textit{P. Hespanhol} and \textit{R. Quirynen}, Optim. Methods Softw. 36, No. 5, 1030--1058 (2021; Zbl 1491.49015) Full Text: DOI arXiv
Chen, X.; Toint, Ph. L. High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. (English) Zbl 1465.90095 Math. Program. 187, No. 1-2 (A), 47-78 (2021). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Ph. L. Toint}, Math. Program. 187, No. 1--2 (A), 47--78 (2021; Zbl 1465.90095) Full Text: DOI arXiv
Kuřátko, Jan; Ratschan, Stefan Solving reachability problems by a scalable constrained optimization method. (English) Zbl 1436.90097 Optim. Eng. 21, No. 1, 215-239 (2020). MSC: 90C20 65K10 34A34 90C30 90C55 90C90 PDFBibTeX XMLCite \textit{J. Kuřátko} and \textit{S. Ratschan}, Optim. Eng. 21, No. 1, 215--239 (2020; Zbl 1436.90097) Full Text: DOI arXiv
Galli, Leonardo; Galligari, Alessandro; Sciandrone, Marco A unified convergence framework for nonmonotone inexact decomposition methods. (English) Zbl 1432.90143 Comput. Optim. Appl. 75, No. 1, 113-144 (2020). MSC: 90C30 49M27 65K10 PDFBibTeX XMLCite \textit{L. Galli} et al., Comput. Optim. Appl. 75, No. 1, 113--144 (2020; Zbl 1432.90143) Full Text: DOI
Tyagi, Hemant; Vybiral, Jan Learning general sparse additive models from point queries in high dimensions. (English) Zbl 1429.41031 Constr. Approx. 50, No. 3, 403-455 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A63 41A25 65D15 PDFBibTeX XMLCite \textit{H. Tyagi} and \textit{J. Vybiral}, Constr. Approx. 50, No. 3, 403--455 (2019; Zbl 1429.41031) Full Text: DOI arXiv
Chen, Xiaojun; Toint, Ph. L.; Wang, H. Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. (English) Zbl 1411.90318 SIAM J. Optim. 29, No. 1, 874-903 (2019). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Optim. 29, No. 1, 874--903 (2019; Zbl 1411.90318) Full Text: DOI arXiv
Petra, C. G.; Qiang, F.; Lubin, M.; Huchette, J. On efficient Hessian computation using the edge pushing algorithm in Julia. (English) Zbl 1407.90310 Optim. Methods Softw. 33, No. 4-6, 1010-1029 (2018). MSC: 90C30 65D25 90C05 90C06 PDFBibTeX XMLCite \textit{C. G. Petra} et al., Optim. Methods Softw. 33, No. 4--6, 1010--1029 (2018; Zbl 1407.90310) Full Text: DOI Link
Yuan, Gonglin; Wei, Zengxin; Lu, Xiwen Global convergence of BFGS and PRP methods under a modified weak Wolfe-Powell line search. (English) Zbl 1446.65031 Appl. Math. Modelling 47, 811-825 (2017). MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{G. Yuan} et al., Appl. Math. Modelling 47, 811--825 (2017; Zbl 1446.65031) Full Text: DOI
Cao, Hui-Ping; Li, Dong-Hui Partitioned quasi-Newton methods for sparse nonlinear equations. (English) Zbl 1370.90144 Comput. Optim. Appl. 66, No. 3, 481-505 (2017). MSC: 90C06 90C53 65K05 PDFBibTeX XMLCite \textit{H.-P. Cao} and \textit{D.-H. Li}, Comput. Optim. Appl. 66, No. 3, 481--505 (2017; Zbl 1370.90144) Full Text: DOI
Cao, Huiping; Yao, Lan A partitioned PSB method for partially separable unconstrained optimization problems. (English) Zbl 1410.90247 Appl. Math. Comput. 290, 164-177 (2016). MSC: 90C53 65K10 90C06 PDFBibTeX XMLCite \textit{H. Cao} and \textit{L. Yao}, Appl. Math. Comput. 290, 164--177 (2016; Zbl 1410.90247) Full Text: DOI
Gaur, Daya R.; Hossain, Shahadat; Saha, Anik Determining sparse Jacobian matrices using two-sided compression: an algorithm and lower bounds. (English) Zbl 1357.65030 Bélair, Jacques (ed.) et al., Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7–15, 2015. Cham: Springer (ISBN 978-3-319-30377-2/hbk; 978-3-319-30379-6/ebook). 425-434 (2016). MSC: 65D25 65F50 PDFBibTeX XMLCite \textit{D. R. Gaur} et al., in: Mathematical and computational approaches in advancing modern science and engineering. Based on the international conference on applied mathematics, modeling and computational science, AMMCS, jointly held with the annual meeting of the Canadian applied and industrial mathematics, CAIMS, June 7--15, 2015. Cham: Springer. 425--434 (2016; Zbl 1357.65030) Full Text: DOI
Huang, Wen; Gallivan, K. A.; Absil, P.-A. A Broyden class of quasi-Newton methods for Riemannian optimization. (English) Zbl 1461.65156 SIAM J. Optim. 25, No. 3, 1660-1685 (2015). MSC: 65K05 90C48 90C53 PDFBibTeX XMLCite \textit{W. Huang} et al., SIAM J. Optim. 25, No. 3, 1660--1685 (2015; Zbl 1461.65156) Full Text: DOI
Gower, Robert Mansel; Mello, Margarida Pinheiro Computing the sparsity pattern of Hessians using automatic differentiation. (English) Zbl 1305.65101 ACM Trans. Math. Softw. 40, No. 2, Article No. 10, 15 p. (2014). MSC: 65D25 65K10 65F50 PDFBibTeX XMLCite \textit{R. M. Gower} and \textit{M. P. Mello}, ACM Trans. Math. Softw. 40, No. 2, Article No. 10, 15 p. (2014; Zbl 1305.65101) Full Text: DOI Link
Dai, Yu-Hong; Yamashita, Nobuo Analysis of sparse quasi-Newton updates with positive definite matrix completion. (English) Zbl 1307.65087 J. Oper. Res. Soc. China 2, No. 1, 39-56 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C53 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{N. Yamashita}, J. Oper. Res. Soc. China 2, No. 1, 39--56 (2014; Zbl 1307.65087) Full Text: DOI
Vlček, J.; Lukšan, L. A conjugate directions approach to improve the limited-memory BFGS method. (English) Zbl 1288.90095 Appl. Math. Comput. 219, No. 3, 800-809 (2012). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{J. Vlček} and \textit{L. Lukšan}, Appl. Math. Comput. 219, No. 3, 800--809 (2012; Zbl 1288.90095) Full Text: DOI Link
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the oracle complexity of first-order and derivative-free algorithms for smooth nonconvex minimization. (English) Zbl 1250.90083 SIAM J. Optim. 22, No. 1, 66-86 (2012). MSC: 90C30 90C26 65K05 49M37 68Q25 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 22, No. 1, 66--86 (2012; Zbl 1250.90083) Full Text: DOI Link
Gundersen, Geir; Steihaug, Trond On diagonally structured problems in unconstrained optimization using an inexact super Halley method. (English) Zbl 1256.65055 J. Comput. Appl. Math. 236, No. 15, 3685-3695 (2012). Reviewer: Otu Vaarmann (Tallinn) MSC: 65K05 90C06 65H10 90C30 PDFBibTeX XMLCite \textit{G. Gundersen} and \textit{T. Steihaug}, J. Comput. Appl. Math. 236, No. 15, 3685--3695 (2012; Zbl 1256.65055) Full Text: DOI
Toivanen, Jukka I.; Mäkinen, Raino A. E. Implementation of sparse forward mode automatic differentiation with application to electromagnetic shape optimization. (English) Zbl 1228.65031 Optim. Methods Softw. 26, No. 4-5, 601-616 (2011). MSC: 65D25 65Y20 49Q10 35Q61 PDFBibTeX XMLCite \textit{J. I. Toivanen} and \textit{R. A. E. Mäkinen}, Optim. Methods Softw. 26, No. 4--5, 601--616 (2011; Zbl 1228.65031) Full Text: DOI Link
Duintjer Tebbens, Jurjen; Tůma, Miroslav Preconditioner updates for solving sequences of linear systems in matrix-free environment. (English) Zbl 1240.65092 Numer. Linear Algebra Appl. 17, No. 6, 997-1019 (2010). MSC: 65F08 65F10 05C15 PDFBibTeX XMLCite \textit{J. Duintjer Tebbens} and \textit{M. Tůma}, Numer. Linear Algebra Appl. 17, No. 6, 997--1019 (2010; Zbl 1240.65092) Full Text: DOI
Yuan, Gonglin; Wei, Zengxin; Wu, Yanlin Modified limited memory BFGS method with nonmonotone line search for unconstrained optimization. (English) Zbl 1193.65105 J. Korean Math. Soc. 47, No. 4, 767-788 (2010). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{G. Yuan} et al., J. Korean Math. Soc. 47, No. 4, 767--788 (2010; Zbl 1193.65105) Full Text: DOI
Gundersen, Geir; Steihaug, Trond On large-scale unconstrained optimization problems and higher order methods. (English) Zbl 1202.65074 Optim. Methods Softw. 25, No. 3, 337-358 (2010). Reviewer: Vasilis Dimitriou (Chania) MSC: 65K05 90C30 90C06 90C53 PDFBibTeX XMLCite \textit{G. Gundersen} and \textit{T. Steihaug}, Optim. Methods Softw. 25, No. 3, 337--358 (2010; Zbl 1202.65074) Full Text: DOI
Andrei, Neculai Accelerated hybrid conjugate gradient algorithm with modified secant condition for unconstrained optimization. (English) Zbl 1192.65074 Numer. Algorithms 54, No. 1, 23-46 (2010). Reviewer: Hang Lau (Montréal) MSC: 65K05 PDFBibTeX XMLCite \textit{N. Andrei}, Numer. Algorithms 54, No. 1, 23--46 (2010; Zbl 1192.65074) Full Text: DOI
Lukšan, Ladislav; Matonoha, Ctirad; Vlček, Jan Algorithm 896: LSA: algorithms for large-scale optimization. (English) Zbl 1364.65128 ACM Trans. Math. Softw. 36, No. 3, Article No. 16, 29 p. (2009). MSC: 65K10 65H10 65Y15 90C06 PDFBibTeX XMLCite \textit{L. Lukšan} et al., ACM Trans. Math. Softw. 36, No. 3, Article No. 16, 29 p. (2009; Zbl 1364.65128) Full Text: DOI
Yuan, Gonglin; Wei, Zengxin New line search methods for unconstrained optimization. (English) Zbl 1293.65098 J. Korean Stat. Soc. 38, No. 1, 29-39 (2009). MSC: 65K10 90C26 PDFBibTeX XMLCite \textit{G. Yuan} and \textit{Z. Wei}, J. Korean Stat. Soc. 38, No. 1, 29--39 (2009; Zbl 1293.65098) Full Text: DOI
Yuan, Gonglin; Meng, Shide; Wei, Zengxin A trust-region-based BFGS method with line search technique for symmetric nonlinear equations. (English) Zbl 1198.90366 Adv. Oper. Res. 2009, Article ID 909753, 22 p. (2009). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{G. Yuan} et al., Adv. Oper. Res. 2009, Article ID 909753, 22 p. (2009; Zbl 1198.90366) Full Text: DOI EuDML
Kim, Sunyoung; Kojima, Masakazu; Toint, Philippe Recognizing underlying sparsity in optimization. (English) Zbl 1163.90026 Math. Program. 119, No. 2 (A), 273-303 (2009). MSC: 90C30 90C22 65K05 PDFBibTeX XMLCite \textit{S. Kim} et al., Math. Program. 119, No. 2 (A), 273--303 (2009; Zbl 1163.90026) Full Text: DOI
Yuan, Gonglin; Lu, Xiwen A new backtracking inexact BFGS method for symmetric nonlinear equations. (English) Zbl 1176.65063 Comput. Math. Appl. 55, No. 1, 116-129 (2008). MSC: 65H10 90C26 PDFBibTeX XMLCite \textit{G. Yuan} and \textit{X. Lu}, Comput. Math. Appl. 55, No. 1, 116--129 (2008; Zbl 1176.65063) Full Text: DOI
Liu, Liying; Yao, Shengwei; Wei, Zengxin The global and superlinear convergence of a new nonmonotone MBFGS algorithm on convex objective functions. (English) Zbl 1152.65068 J. Comput. Appl. Math. 220, No. 1-2, 422-438 (2008). Reviewer: Maciek Korzec (Berlin) MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{L. Liu} et al., J. Comput. Appl. Math. 220, No. 1--2, 422--438 (2008; Zbl 1152.65068) Full Text: DOI
Yuan, Gong Lin; Wei, Zeng Xin The superlinear convergence analysis of a nonmonotone BFGS algorithm on convex objective functions. (English) Zbl 1152.65072 Acta Math. Sin., Engl. Ser. 24, No. 1, 35-42 (2008). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 65K05 90C25 PDFBibTeX XMLCite \textit{G. L. Yuan} and \textit{Z. X. Wei}, Acta Math. Sin., Engl. Ser. 24, No. 1, 35--42 (2008; Zbl 1152.65072) Full Text: DOI
Wei, Zengxin; Liu, Liying; Yao, Shengwei The superlinear convergence of a new quasi-Newton-SQP method for constrained optimization. (English) Zbl 1141.65047 Appl. Math. Comput. 196, No. 2, 791-801 (2008). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C53 90C55 PDFBibTeX XMLCite \textit{Z. Wei} et al., Appl. Math. Comput. 196, No. 2, 791--801 (2008; Zbl 1141.65047) Full Text: DOI
Hossain, Shahadat; Steihaug, Trond Graph coloring in the estimation of sparse derivative matrices: Instances and applications. (English) Zbl 1130.65046 Discrete Appl. Math. 156, No. 2, 280-288 (2008). MSC: 65D25 65F30 05C15 PDFBibTeX XMLCite \textit{S. Hossain} and \textit{T. Steihaug}, Discrete Appl. Math. 156, No. 2, 280--288 (2008; Zbl 1130.65046) Full Text: DOI
Karasözen, Bülent Survey of trust-region derivative free optimization methods. (English) Zbl 1170.90519 J. Ind. Manag. Optim. 3, No. 2, 321-334 (2007). MSC: 90C56 65D05 PDFBibTeX XMLCite \textit{B. Karasözen}, J. Ind. Manag. Optim. 3, No. 2, 321--334 (2007; Zbl 1170.90519) Full Text: DOI
Lukšan, L.; Matonoha, C.; Vlček, J. Trust-region interior-point method for large sparse \(l_{1}\) optimization. (English) Zbl 1193.90197 Optim. Methods Softw. 22, No. 5, 737-753 (2007). MSC: 90C30 90C51 90C06 49M37 65K05 PDFBibTeX XMLCite \textit{L. Lukšan} et al., Optim. Methods Softw. 22, No. 5, 737--753 (2007; Zbl 1193.90197) Full Text: DOI
Wei, Zengxin; Li, Guoyin; Qi, Liqun New quasi-Newton methods for unconstrained optimization problems. (English) Zbl 1100.65054 Appl. Math. Comput. 175, No. 2, 1156-1188 (2006). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{Z. Wei} et al., Appl. Math. Comput. 175, No. 2, 1156--1188 (2006; Zbl 1100.65054) Full Text: DOI
Waki, Hayato; Kim, Sunyoung; Kojima, Masakazu; Muramatsu, Masakazu Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity. (English) Zbl 1109.65058 SIAM J. Optim. 17, No. 1, 218-242 (2006). MSC: 65K05 90C22 PDFBibTeX XMLCite \textit{H. Waki} et al., SIAM J. Optim. 17, No. 1, 218--242 (2006; Zbl 1109.65058) Full Text: DOI Link
Gould, Nick; Orban, Dominique; Toint, Philippe Numerical methods for large-scale nonlinear optimization. (English) Zbl 1119.65337 Acta Numerica 14, 299-361 (2005). MSC: 65K05 PDFBibTeX XMLCite \textit{N. Gould} et al., Acta Numerica 14, 299--361 (2005; Zbl 1119.65337) Full Text: DOI
Colson, Benoît; Toint, Philippe L. Optimizing partially separable functions without derivatives. (English) Zbl 1152.90659 Optim. Methods Softw. 20, No. 4-5, 493-508 (2005). MSC: 90C56 65K05 PDFBibTeX XMLCite \textit{B. Colson} and \textit{P. L. Toint}, Optim. Methods Softw. 20, No. 4--5, 493--508 (2005; Zbl 1152.90659) Full Text: DOI
Reed, M. B. An H-form variant of the partitioned QN method. (English) Zbl 1018.65076 Appl. Numer. Math. 45, No. 1, 79-85 (2003). MSC: 65K05 90C53 90C30 65Y05 PDFBibTeX XMLCite \textit{M. B. Reed}, Appl. Numer. Math. 45, No. 1, 79--85 (2003; Zbl 1018.65076) Full Text: DOI
Tijskens, E.; Roose, D.; Ramon, H.; De Baerdemaeker, J. Automatic differentiation for solving nonlinear partial differential equations: an efficient operator overloading approach. (English) Zbl 1008.65087 Numer. Algorithms 30, No. 3-4, 259-301 (2002). MSC: 65N30 65Y20 65Y15 35J65 65D25 68W30 PDFBibTeX XMLCite \textit{E. Tijskens} et al., Numer. Algorithms 30, No. 3--4, 259--301 (2002; Zbl 1008.65087) Full Text: DOI
Liu, Guanghui; Han, Lixing; Jing, Lili A nonmonotone Broyden method for unconstrained optimization. (English) Zbl 1099.90578 Optim. Methods Softw. 15, No. 2, 153-171 (2001). MSC: 90C30 65K10 90C25 PDFBibTeX XMLCite \textit{G. Liu} et al., Optim. Methods Softw. 15, No. 2, 153--171 (2001; Zbl 1099.90578) Full Text: DOI
Li, Donghui; Fukushima, Masao A modified BFGS method and its global convergence in nonconvex minimization. (English) Zbl 0984.65055 J. Comput. Appl. Math. 129, No. 1-2, 15-35 (2001). Reviewer: J.Lovíšek (Bratislava) MSC: 65K05 90C26 PDFBibTeX XMLCite \textit{D. Li} and \textit{M. Fukushima}, J. Comput. Appl. Math. 129, No. 1--2, 15--35 (2001; Zbl 0984.65055) Full Text: DOI
Ma, Xiaofang; Fung, Richard Ying Kit; Xu, Chengxian Stable factorized quasi-Newton methods for nonlinear least-squares problems. (English) Zbl 0983.65071 J. Comput. Appl. Math. 129, No. 1-2, 1-14 (2001). Reviewer: Dana Petcu (Timişoara) MSC: 65K05 65H10 90C20 90C53 PDFBibTeX XMLCite \textit{X. Ma} et al., J. Comput. Appl. Math. 129, No. 1--2, 1--14 (2001; Zbl 0983.65071) Full Text: DOI
Li, Dong-Hui; Fukushima, Masao On the global convergence of the BFGS method for nonconvex unconstrained optimization problems. (English) Zbl 1010.90079 SIAM J. Optim. 11, No. 4, 1054-1064 (2001). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{D.-H. Li} and \textit{M. Fukushima}, SIAM J. Optim. 11, No. 4, 1054--1064 (2001; Zbl 1010.90079) Full Text: DOI
Lukšan, Ladislav; Spedicato, Emilio Variable metric methods for unconstrained optimization and nonlinear least squares. (English) Zbl 0985.65066 J. Comput. Appl. Math. 124, No. 1-2, 61-95 (2000). Reviewer: S.Zlobec (Montreal) MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{L. Lukšan} and \textit{E. Spedicato}, J. Comput. Appl. Math. 124, No. 1--2, 61--95 (2000; Zbl 0985.65066) Full Text: DOI
Ariyawansa, K. A.; Begashaw, N. Global convergence of a class of collinear scaling algorithms with inexact line searches on convex functions. (English) Zbl 0936.65074 Computing 63, No. 2, 145-169 (1999). Reviewer: H.Benker (Merseburg) MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{N. Begashaw}, Computing 63, No. 2, 145--169 (1999; Zbl 0936.65074) Full Text: DOI
Li, Donghui; Fukushima, Masao A globally and superlinearly convergent Gauss-Newton-based BFGS method for symmetric nonlinear equations. (English) Zbl 0946.65031 SIAM J. Numer. Anal. 37, No. 1, 152-172 (1999). Reviewer: J.Guddat (Berlin) MSC: 65H10 65K05 90C30 90C26 PDFBibTeX XMLCite \textit{D. Li} and \textit{M. Fukushima}, SIAM J. Numer. Anal. 37, No. 1, 152--172 (1999; Zbl 0946.65031) Full Text: DOI
Li, Donghui; Fukushima, Masao A derivative-free line search and DFP method for symmetric equations with global and superlinear convergence. (English) Zbl 0927.65067 Numer. Funct. Anal. Optimization 20, No. 1-2, 59-77 (1999). Reviewer: B.Döring (Düsseldorf) MSC: 65H10 65K05 90C25 PDFBibTeX XMLCite \textit{D. Li} and \textit{M. Fukushima}, Numer. Funct. Anal. Optim. 20, No. 1--2, 59--77 (1999; Zbl 0927.65067) Full Text: DOI
Daydé, Michel J.; L’Excellent, Jean-Yves; Gould, Nicholas I. M. Element-by-element preconditioners for large partially separable optimization problems. (English) Zbl 0897.65045 SIAM J. Sci. Comput. 18, No. 6, 1767-1787 (1997). Reviewer: J.Terno (Dresden) MSC: 65K05 90C30 65Y20 PDFBibTeX XMLCite \textit{M. J. Daydé} et al., SIAM J. Sci. Comput. 18, No. 6, 1767--1787 (1997; Zbl 0897.65045) Full Text: DOI
Bischof, Christian H.; Bouaricha, Ali; Khademi, Peyvand M.; Moré, Jorge J. Computing gradients in large-scale optimization using automatic differentiation. (English) Zbl 0885.90100 INFORMS J. Comput. 9, No. 2, 185-194 (1997). MSC: 90C30 65D25 90C06 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., INFORMS J. Comput. 9, No. 2, 185--194 (1997; Zbl 0885.90100) Full Text: DOI Link
Bischof, Christian H.; Khademi, Peyvand M.; Bouaricha, Ali; Carle, Alan Efficient computation of gradients and Jacobians by dynamic exploitation of sparsity in automatic differentiation. (English) Zbl 0879.68025 Optim. Methods Softw. 7, No. 1, 1-39 (1997). MSC: 68N99 65K99 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., Optim. Methods Softw. 7, No. 1, 1--39 (1997; Zbl 0879.68025) Full Text: DOI
Conn, A. R.; Scheinberg, K.; Toint, Ph. L. Recent progress in unconstrained nonlinear optimization without derivatives. (English) Zbl 0887.90154 Math. Program. 79, No. 1-3 (B), 397-414 (1997). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{A. R. Conn} et al., Math. Program. 79, No. 1--3 (B), 397--414 (1997; Zbl 0887.90154) Full Text: DOI
Gay, David M. More AD of nonlinear AMPL models: Computing Hessian information and exploiting partial separability. (English) Zbl 0866.65018 Berz, Martin (ed.) et al., Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Philadelphia, PA: SIAM. 173-184 (1996). MSC: 65D25 65K05 90C30 PDFBibTeX XMLCite \textit{D. M. Gay}, in: Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12--14, 1996. Philadelphia, PA: SIAM. 173--184 (1996; Zbl 0866.65018)
Conn, A. R.; Gould, Nick; Sartenaer, A.; Toint, Ph. L. Convergence properties of minimization algorithms for convex constraints using a structured trust region. (English) Zbl 0868.90106 SIAM J. Optim. 6, No. 4, 1059-1086 (1996). MSC: 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{A. R. Conn} et al., SIAM J. Optim. 6, No. 4, 1059--1086 (1996; Zbl 0868.90106) Full Text: DOI
Toint, Philippe L. An assessment of nonmonotone linesearch techniques for unconstrained optimization. (English) Zbl 0849.90113 SIAM J. Sci. Comput. 17, No. 3, 725-739 (1996). MSC: 90C30 65K05 90C26 49M37 PDFBibTeX XMLCite \textit{P. L. Toint}, SIAM J. Sci. Comput. 17, No. 3, 725--739 (1996; Zbl 0849.90113) Full Text: DOI
Conn, A. R.; Gould, Nick; Toint, Ph. L. Numerical experiments with the Lancelot package (Release \(A\)) for large-scale nonlinear optimization. (English) Zbl 0848.90109 Math. Program. 73, No. 1 (A), 73-110 (1996). MSC: 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{A. R. Conn} et al., Math. Program. 73, No. 1 (A), 73--110 (1996; Zbl 0848.90109) Full Text: DOI
Xu, C. X.; Ma, X. F.; Kong, M. Y. A class of factorized quasi-Newton methods for nonlinear least squares problems. (English) Zbl 0853.65057 J. Comput. Math. 14, No. 2, 143-158 (1996). Reviewer: J.Terno (Dresden) MSC: 65K05 90C20 PDFBibTeX XMLCite \textit{C. X. Xu} et al., J. Comput. Math. 14, No. 2, 143--158 (1996; Zbl 0853.65057)
Bischof, Christian H.; Carle, Alan; Khademi, Peyvand M.; Pusch, Gordon Automatic differentiation: Obtaining fast and reliable derivatives – fast. (English) Zbl 0960.68793 Lasiecka, Irena (ed.) et al., Control problems in industry. Proceedings from the SIAM symposium on control problems, San Diego, California, USA, July 22-23, 1994. Boston: Birkhäuser. Prog. Syst. Control Theory. 21, 1-16 (1995). MSC: 68W30 65D25 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., in: Control problems in industry. Proceedings from the SIAM symposium on control problems, San Diego, California, USA, July 22-23, 1994. Boston: Birkhäuser. 1--16 (1995; Zbl 0960.68793)
Sartenaer, A. A class of trust region methods for nonlinear network optimization problems. (English) Zbl 0834.90134 SIAM J. Optim. 5, No. 2, 379-407 (1995). MSC: 90C35 90C30 65K05 PDFBibTeX XMLCite \textit{A. Sartenaer}, SIAM J. Optim. 5, No. 2, 379--407 (1995; Zbl 0834.90134) Full Text: DOI Link
Fletcher, R. An optimal positive definite update for sparse Hessian matrices. (English) Zbl 0824.65038 SIAM J. Optim. 5, No. 1, 192-218 (1995). Reviewer: K.Schittkowski (Bayreuth) MSC: 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{R. Fletcher}, SIAM J. Optim. 5, No. 1, 192--218 (1995; Zbl 0824.65038) Full Text: DOI
Bongartz, I.; Conn, A. R.; Gould, N.; Toint, Ph. L. CUTE: Constrained and unconstrained testing environment. (English) Zbl 0886.65058 ACM Trans. Math. Softw. 21, No. 1, 123-160 (1995). MSC: 65K05 90C06 90C30 PDFBibTeX XMLCite \textit{I. Bongartz} et al., ACM Trans. Math. Softw. 21, No. 1, 123--160 (1995; Zbl 0886.65058) Full Text: DOI Link Link
Jónasson, Kristján; Madsen, Kaj Corrected sequential linear programming for sparse minimax optimization. (English) Zbl 0813.65090 BIT 34, No. 3, 372-387 (1994). Reviewer: T.F.Coleman (Ithaca) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{K. Jónasson} and \textit{K. Madsen}, BIT 34, No. 3, 372--387 (1994; Zbl 0813.65090) Full Text: DOI
Huschens, J. On the use of product structure in secant methods for nonlinear least squares problems. (English) Zbl 0798.65064 SIAM J. Optim. 4, No. 1, 108-129 (1994). Reviewer: B.Hofmann (Chemnitz) MSC: 65H10 65K05 PDFBibTeX XMLCite \textit{J. Huschens}, SIAM J. Optim. 4, No. 1, 108--129 (1994; Zbl 0798.65064) Full Text: DOI
Byrd, Richard H.; Eskow, Elizabeth; Schnabel, Robert B.; Smith, Sharon L. Parallel global optimization: numerical methods, dynamic scheduling methods, and application to molecular configuration. (English) Zbl 1253.90210 Fincham, A.E. (ed.) et al., Parallel computation. Based on the proceedings of a conference on parallel computation, organized by the Institute of Mathematics and its Applications and held at St. Catherine’s College, Oxford, GB, in September 1991. Oxford: Clarendon Press (ISBN 0-19-853680-1). Inst. Math. Appl. Conf. Ser., New Ser. 46, 187-207 (1993). MSC: 90C30 65Y05 65K05 PDFBibTeX XMLCite \textit{R. H. Byrd} et al., Inst. Math. Appl. Conf. Ser., New Ser. 46, 187--207 (1993; Zbl 1253.90210)
Goldfarb, Donald; Wang, Siyun Partial-update Newton methods for unary, factorable, and partially separable optimization. (English) Zbl 0784.90075 SIAM J. Optim. 3, No. 2, 382-397 (1993). MSC: 90C30 90-08 65K05 PDFBibTeX XMLCite \textit{D. Goldfarb} and \textit{S. Wang}, SIAM J. Optim. 3, No. 2, 382--397 (1993; Zbl 0784.90075) Full Text: DOI
Nocedal, Jorge Theory of algorithms for unconstrained optimization. (English) Zbl 0766.65051 Acta Numerica 1992, 199-242 (1992). Reviewer: J.Guddat (Berlin) MSC: 65K05 90C30 90C06 PDFBibTeX XMLCite \textit{J. Nocedal}, Acta Numerica 1992, 199--242 (1992; Zbl 0766.65051)
Lukšan, Ladislav Computational experience with improved conjugate gradient methods for unconstrained minimization. (English) Zbl 0771.90090 Kybernetika 28, No. 4, 249-262 (1992). MSC: 90C30 65K05 49M37 90-08 PDFBibTeX XMLCite \textit{L. Lukšan}, Kybernetika 28, No. 4, 249--262 (1992; Zbl 0771.90090) Full Text: EuDML Link
Martínez, José Mario On the relation between two local convergence theories of least-change secant update methods. (English) Zbl 0767.65043 Math. Comput. 59, No. 200, 457-481 (1992). Reviewer: H.T.Lau (Verdun / Quebec) MSC: 65H10 PDFBibTeX XMLCite \textit{J. M. Martínez}, Math. Comput. 59, No. 200, 457--481 (1992; Zbl 0767.65043) Full Text: DOI
Toint, Ph. L.; Tuyttens, D. LSNNO, a FORTRAN subroutine for solving large-scale nonlinear network optimization problems. (English) Zbl 0892.65033 ACM Trans. Math. Softw. 18, No. 3, 308-328 (1992). MSC: 65K05 90C30 90C06 90C35 PDFBibTeX XMLCite \textit{Ph. L. Toint} and \textit{D. Tuyttens}, ACM Trans. Math. Softw. 18, No. 3, 308--328 (1992; Zbl 0892.65033) Full Text: DOI Link
Engels, John R.; Martínez, Héctor J. Local and superlinear convergence for partially known quasi-Newton methods. (English) Zbl 0752.90063 SIAM J. Optim. 1, No. 1, 42-56 (1991). MSC: 90C30 90-08 65K05 PDFBibTeX XMLCite \textit{J. R. Engels} and \textit{H. J. Martínez}, SIAM J. Optim. 1, No. 1, 42--56 (1991; Zbl 0752.90063) Full Text: DOI
Dixon, L. C. W. On the impact of automatic differentiation on the relative performance of parallel truncated Newton and variable metric algorithms. (English) Zbl 0754.90052 SIAM J. Optim. 1, No. 4, 475-486 (1991). MSC: 90C30 90-08 65D25 65Y05 PDFBibTeX XMLCite \textit{L. C. W. Dixon}, SIAM J. Optim. 1, No. 4, 475--486 (1991; Zbl 0754.90052) Full Text: DOI
Martínez, José Mario Quasi-Newton methods for solving underdetermined nonlinear simultaneous equations. (English) Zbl 0729.65035 J. Comput. Appl. Math. 34, No. 2, 171-190 (1991). Reviewer: B.Döring (Düsseldorf) MSC: 65H10 65Y05 PDFBibTeX XMLCite \textit{J. M. Martínez}, J. Comput. Appl. Math. 34, No. 2, 171--190 (1991; Zbl 0729.65035) Full Text: DOI
Dixon, L. C. W. The solution of partially separable linear equations on parallel processing systems. (English) Zbl 0738.65013 Computer algorithms for solving linear algebraic equations. The state of the art, NATO ASI Ser., Ser. F 77, 299-338 (1991). Reviewer: E.Kreyszig (Ottawa) MSC: 65F05 65Y05 65D25 65L05 65N22 PDFBibTeX XMLCite \textit{L. C. W. Dixon}, in: ABS algorithms for general linear systems. . 299--338 (1991; Zbl 0738.65013)
Conn, A. R.; Gould, N. I. M.; Toint, Ph. L. Convergence of quasi-Newton matrices generated by the symmetric rank one update. (English) Zbl 0737.90062 Math. Program., Ser. A 50, No. 2, 177-195 (1991). Reviewer: Zhang Xian-sun (Beijing) MSC: 90C30 90-08 65K05 PDFBibTeX XMLCite \textit{A. R. Conn} et al., Math. Program. 50, No. 2 (A), 177--195 (1991; Zbl 0737.90062) Full Text: DOI
Griewank, Andreas The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients. (English) Zbl 0736.90068 Math. Program., Ser. A 50, No. 2, 141-175 (1991). Reviewer: A.Swift (Palmerston North) MSC: 90C30 90-08 65K05 PDFBibTeX XMLCite \textit{A. Griewank}, Math. Program. 50, No. 2 (A), 141--175 (1991; Zbl 0736.90068) Full Text: DOI
Nocedal, Jorge The performance of several algorithms for large scale unconstrained optimization. (English) Zbl 0726.90081 Large-scale numerical optimization, Proc. Workshop, Ithaca/NY (USA) 1989, 138-151 (1990). MSC: 90C30 90C06 65K05 90-08 PDFBibTeX XML
Lukšan, Ladislav Computational experience with improved variable metric methods for unconstrained minimization. (English) Zbl 0716.65055 Kybernetika 26, No. 5, 415-431 (1990). Reviewer: H.Hollatz MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{L. Lukšan}, Kybernetika 26, No. 5, 415--431 (1990; Zbl 0716.65055) Full Text: EuDML Link
Martínez, José Mario Local convergence theory of inexact Newton methods based on structured least change updates. (English) Zbl 0707.65031 Math. Comput. 55, No. 191, 143-167 (1990). Reviewer: H.Matthies MSC: 65H10 PDFBibTeX XMLCite \textit{J. M. Martínez}, Math. Comput. 55, No. 191, 143--167 (1990; Zbl 0707.65031) Full Text: DOI
Toint, Ph. L.; Tuyttens, D. On large scale nonlinear network optimization. (English) Zbl 0693.90092 Math. Program., Ser. B 48, No. 1, 125-159 (1990). MSC: 90C35 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{Ph. L. Toint} and \textit{D. Tuyttens}, Math. Program. 48, No. 1 (B), 125--159 (1990; Zbl 0693.90092) Full Text: DOI
Fontecilla, Rodrigo Inexact secant methods for nonlinear constrained optimization. (English) Zbl 0688.65048 SIAM J. Numer. Anal. 27, No. 1, 154-165 (1990). Reviewer: H.Benker MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{R. Fontecilla}, SIAM J. Numer. Anal. 27, No. 1, 154--165 (1990; Zbl 0688.65048) Full Text: DOI
Liu, Dong C.; Nocedal, Jorge On the limited memory BFGS method for large scale optimization. (English) Zbl 0696.90048 Math. Program., Ser. B 45, No. 3, 503-528 (1989). Reviewer: K.Schittkowski MSC: 90C30 90C06 65K05 90C52 PDFBibTeX XMLCite \textit{D. C. Liu} and \textit{J. Nocedal}, Math. Program. 45, No. 3 (B), 503--528 (1989; Zbl 0696.90048) Full Text: DOI
Dennis, J. E. jun.; Martinez, H. J.; Tapia, R. A. Convergence theory for the structured BFGS secant method with an application to nonlinear least squares. (English) Zbl 0645.65026 J. Optimization Theory Appl. 61, No. 2, 161-178 (1989). Reviewer: J.E.Dennis MSC: 65H10 65K05 90C30 PDFBibTeX XMLCite \textit{J. E. Dennis jun.} et al., J. Optim. Theory Appl. 61, No. 2, 161--178 (1989; Zbl 0645.65026) Full Text: DOI
Fontecilla, Rodrigo Local convergence of secant methods for nonlinear constrained optimization. (English) Zbl 0698.65042 SIAM J. Numer. Anal. 25, No. 3, 692-712 (1988). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{R. Fontecilla}, SIAM J. Numer. Anal. 25, No. 3, 692--712 (1988; Zbl 0698.65042) Full Text: DOI
Conn, Andrew R.; Gould, Nicholas I. M.; Toint, Philippe L. Testing a class of methods for solving minimization problems with simple bounds on the variables. (English) Zbl 0645.65033 Math. Comput. 50, No. 182, 399-430 (1988). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. R. Conn} et al., Math. Comput. 50, No. 182, 399--430 (1988; Zbl 0645.65033) Full Text: DOI
Kumar, Ashwani; Lucia, Angelo Separation process optimization calculations. (English) Zbl 0638.90088 Appl. Numer. Math. 3, 409-425 (1987). Reviewer: I.Maros MSC: 90C30 90C20 65K05 49M37 49M15 PDFBibTeX XMLCite \textit{A. Kumar} and \textit{A. Lucia}, Appl. Numer. Math. 3, 409--425 (1987; Zbl 0638.90088) Full Text: DOI
Griewank, Andreas The local convergence of Broyden-like methods on Lipschitzian problems in Hilbert spaces. (English) Zbl 0627.65067 SIAM J. Numer. Anal. 24, 684-705 (1987). Reviewer: B.Döring MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{A. Griewank}, SIAM J. Numer. Anal. 24, 684--705 (1987; Zbl 0627.65067) Full Text: DOI
Kelley, C. T.; Sachs, E. W. A quasi-Newton method for elliptic boundary value problems. (English) Zbl 0625.65104 SIAM J. Numer. Anal. 24, 516-531 (1987). Reviewer: G.Hedstrom MSC: 65N22 65H10 65N12 35J65 PDFBibTeX XMLCite \textit{C. T. Kelley} and \textit{E. W. Sachs}, SIAM J. Numer. Anal. 24, 516--531 (1987; Zbl 0625.65104) Full Text: DOI
Toint, Ph. L. On large scale nonlinear least squares calculations. (English) Zbl 0616.65014 SIAM J. Sci. Stat. Comput. 8, 416-435 (1987). Reviewer: P.Reichensperger MSC: 65D10 65K05 PDFBibTeX XMLCite \textit{Ph. L. Toint}, SIAM J. Sci. Stat. Comput. 8, 416--435 (1987; Zbl 0616.65014) Full Text: DOI
Toint, Ph. L. Global convergence of the partitioned BFGS algorithm for convex partially separable optimization. (English) Zbl 0626.90076 Math. Program. 36, 290-306 (1986). Reviewer: H.Tuy MSC: 90C30 90C25 65K05 49M37 PDFBibTeX XMLCite \textit{Ph. L. Toint}, Math. Program. 36, 290--306 (1986; Zbl 0626.90076) Full Text: DOI
Toint, Ph. L. Numerical solution of large sets of algebraic nonlinear equations. (English) Zbl 0614.65058 Math. Comput. 46, 175-189 (1986). Reviewer: W.C.Rheinboldt MSC: 65H10 65N30 35J65 PDFBibTeX XMLCite \textit{Ph. L. Toint}, Math. Comput. 46, 175--189 (1986; Zbl 0614.65058) Full Text: DOI
Griewank, Andreas Rates of convergence for secant methods on nonlinear problems in Hilbert space. (English) Zbl 0607.65032 Numerical analysis, Proc. 4th IIMAS Workshop, Guanajuato/Mex. 1984, Lect. Notes Math. 1230, 138-157 (1986). MSC: 65J15 47J25 PDFBibTeX XML
Coleman, Thomas F.; Garbow, Burton S.; Moré, Jorge J. Software for estimating sparse Hessian matrices. (English) Zbl 0584.65010 ACM Trans. Math. Softw. 11, 369-377 (1985). MSC: 65D25 65F30 65K05 90C30 PDFBibTeX XMLCite \textit{T. F. Coleman} et al., ACM Trans. Math. Softw. 11, 369--377 (1985; Zbl 0584.65010) Full Text: Link
Stoer, J. Principles of sequential quadratic programming methods for solving nonlinear programs. (English) Zbl 0581.90067 Computational mathematical programming, Proc. NATO Adv. Study Inst., Bad Windsheim/Ger. 1984, NATO ASI Ser., Ser. F 15, 165-207 (1985). MSC: 90C20 65K05 90C30 49M05 PDFBibTeX XML
Powell, M. J. D. The performance of two subroutines for constrained optimization on some difficult test problems. (English) Zbl 0575.65065 Numerical optimization, Proc. SIAM Conf., Boulder/Colo. 1984, 160-177 (1985). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDFBibTeX XML
Griewank, A.; Toint, Ph. L. On the existence of convex decompositions of partially separable functions. (English) Zbl 0561.65045 Math. Program. 28, 25-49 (1984). Reviewer: Th.F.Coleman MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{Ph. L. Toint}, Math. Program. 28, 25--49 (1984; Zbl 0561.65045) Full Text: DOI
Griewank, A.; Toint, Ph. L. Numerical experiments with partially separable optimization problems. (English) Zbl 0531.65033 Numerical analysis, Proc. 10th bienn. Conf., Dundee/Scotl. 1983, Lect. Notes Math. 1066, 203-220 (1984). MSC: 65K05 90C30 PDFBibTeX XML
Ypma, T. J. Difference Newton-like methods under weak continuity conditions. (English) Zbl 0526.65038 Computing 33, 51-64 (1984). MSC: 65H10 PDFBibTeX XMLCite \textit{T. J. Ypma}, Computing 33, 51--64 (1984; Zbl 0526.65038) Full Text: DOI
Stoer, Josef The convergence of matrices generated by rank-2 methods from the restricted \(\beta\)-class of Broyden. (English) Zbl 0523.65047 Numer. Math. 44, 37-52 (1984). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{J. Stoer}, Numer. Math. 44, 37--52 (1984; Zbl 0523.65047) Full Text: DOI EuDML