Wang, Haijun; Wang, Qi A new Gauss-Newton-like method for nonlinear equations. (English) Zbl 1493.65100 Turk. J. Math. 45, No. 1, 264-280 (2021). MSC: 65H10 90C53 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Q. Wang}, Turk. J. Math. 45, No. 1, 264--280 (2021; Zbl 1493.65100) Full Text: DOI OpenURL
Mannel, Florian On the order of convergence of Broyden’s method. Faster convergence on mixed linear-nonlinear systems of equations and a conjecture on the q-order. (English) Zbl 1482.90251 Calcolo 58, No. 4, Paper No. 47, 21 p. (2021). MSC: 90C53 65H10 65K05 90C30 PDF BibTeX XML Cite \textit{F. Mannel}, Calcolo 58, No. 4, Paper No. 47, 21 p. (2021; Zbl 1482.90251) Full Text: DOI OpenURL
Chi, Xiaoni; Liu, Wenli; Liu, Sanyang; Zhao, Min Inexact nonmonotone smoothing Newton method for linear weighted second-order cone complementarity problem. (Chinese. English summary) Zbl 1488.90201 J. Jilin Univ., Sci. 59, No. 2, 263-270 (2021). MSC: 90C33 90C53 PDF BibTeX XML Cite \textit{X. Chi} et al., J. Jilin Univ., Sci. 59, No. 2, 263--270 (2021; Zbl 1488.90201) Full Text: DOI OpenURL
Kanzow, Christian; Lechner, Theresa Globalized inexact proximal Newton-type methods for nonconvex composite functions. (English) Zbl 1469.90111 Comput. Optim. Appl. 78, No. 2, 377-410 (2021). MSC: 90C26 90C53 PDF BibTeX XML Cite \textit{C. Kanzow} and \textit{T. Lechner}, Comput. Optim. Appl. 78, No. 2, 377--410 (2021; Zbl 1469.90111) Full Text: DOI OpenURL
Nakayama, Shummin; Narushima, Yasushi; Yabe, Hiroshi Inexact proximal memoryless quasi-Newton methods based on the Broyden family for minimizing composite functions. (English) Zbl 1469.90141 Comput. Optim. Appl. 79, No. 1, 127-154 (2021). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{S. Nakayama} et al., Comput. Optim. Appl. 79, No. 1, 127--154 (2021; Zbl 1469.90141) Full Text: DOI OpenURL
Wu, Song; Wang, Haijun A modified Newton-like method for nonlinear equations. (English) Zbl 1463.65119 Comput. Appl. Math. 39, No. 3, Paper No. 238, 18 p. (2020). MSC: 65H10 PDF BibTeX XML Cite \textit{S. Wu} and \textit{H. Wang}, Comput. Appl. Math. 39, No. 3, Paper No. 238, 18 p. (2020; Zbl 1463.65119) Full Text: DOI OpenURL
Ma, Chunping; Yu, Tiantang; Van Lich, Le; Thanh-Tung, Nguyen; Bui, Tinh Quoc Detection of multiple complicated flaw clusters by dynamic variable-node XFEM with a three-step detection algorithm. (English) Zbl 1475.74118 Eur. J. Mech., A, Solids 82, Article ID 103980, 13 p. (2020). MSC: 74R99 74H75 74S05 74S99 PDF BibTeX XML Cite \textit{C. Ma} et al., Eur. J. Mech., A, Solids 82, Article ID 103980, 13 p. (2020; Zbl 1475.74118) Full Text: DOI OpenURL
Nagra, Arfan Ali; Han, Fei; Ling, Qing Hua An improved hybrid self-inertia weight adaptive particle swarm optimization algorithm with local search. (English) Zbl 07637033 Eng. Optim. 51, No. 7, 1115-1132 (2019). MSC: 90-XX PDF BibTeX XML Cite \textit{A. A. Nagra} et al., Eng. Optim. 51, No. 7, 1115--1132 (2019; Zbl 07637033) Full Text: DOI OpenURL
Zhang, Suobin; Wang, Yang; Chi, Xiaoni; Zeng, Xiangyan Smoothing Newton method for linear circular cone complementarity problems. (Chinese. English summary) Zbl 1449.90350 J. Jilin Univ., Sci. 57, No. 2, 258-264 (2019). MSC: 90C33 90C53 PDF BibTeX XML Cite \textit{S. Zhang} et al., J. Jilin Univ., Sci. 57, No. 2, 258--264 (2019; Zbl 1449.90350) Full Text: DOI OpenURL
de los Ángeles Martínez, María; Fernández, Damián A quasi-Newton modified LP-Newton method. (English) Zbl 1411.90319 Optim. Methods Softw. 34, No. 3, 634-649 (2019). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{M. de los Ángeles Martínez} and \textit{D. Fernández}, Optim. Methods Softw. 34, No. 3, 634--649 (2019; Zbl 1411.90319) Full Text: DOI OpenURL
de los Ángeles Martínez, María; Fernández, Damián On the local and superlinear convergence of a secant modified linear-programming-Newton method. (English) Zbl 1409.90183 J. Optim. Theory Appl. 180, No. 3, 993-1010 (2019). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{M. de los Ángeles Martínez} and \textit{D. Fernández}, J. Optim. Theory Appl. 180, No. 3, 993--1010 (2019; Zbl 1409.90183) Full Text: DOI OpenURL
Breiding, Paul; Vannieuwenhoven, Nick A Riemannian trust region method for the canonical tensor rank approximation problem. (English) Zbl 1397.15022 SIAM J. Optim. 28, No. 3, 2435-2465 (2018). MSC: 15A69 53B21 53B20 65K10 90C53 14P10 65Y20 65F35 PDF BibTeX XML Cite \textit{P. Breiding} and \textit{N. Vannieuwenhoven}, SIAM J. Optim. 28, No. 3, 2435--2465 (2018; Zbl 1397.15022) Full Text: DOI arXiv OpenURL
Fang, Xiaowei; Ni, Qin; Zeng, Meilan A modified quasi-Newton method for nonlinear equations. (English) Zbl 1372.65146 J. Comput. Appl. Math. 328, 44-58 (2018). MSC: 65H10 90C53 PDF BibTeX XML Cite \textit{X. Fang} et al., J. Comput. Appl. Math. 328, 44--58 (2018; Zbl 1372.65146) Full Text: DOI OpenURL
Chernyaev, Yu. A. Convergence of the gradient projection method and Newton’s method as applied to optimization problems constrained by intersection of a spherical surface and a convex closed set. (English. Russian original) Zbl 1394.90557 Comput. Math. Math. Phys. 56, No. 10, 1716-1731 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1733-1749 (2016). MSC: 90C52 65K10 90C53 PDF BibTeX XML Cite \textit{Yu. A. Chernyaev}, Comput. Math. Math. Phys. 56, No. 10, 1716--1731 (2016; Zbl 1394.90557); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 10, 1733--1749 (2016) Full Text: DOI OpenURL
Schulz, Volker H.; Siebenborn, Martin; Welker, Kathrin PDE constrained shape optimization as optimization on shape manifolds. (English) Zbl 1406.49051 Nielsen, Frank (ed.) et al., Geometric science of information. Second international conference, GSI 2015, Palaiseau, France, October 28–30, 2015. Proceedings. Cham: Springer (ISBN 978-3-319-25039-7/pbk; 978-3-319-25040-3/ebook). Lecture Notes in Computer Science 9389, 499-508 (2015). MSC: 49Q10 49M15 53B20 94A15 PDF BibTeX XML Cite \textit{V. H. Schulz} et al., Lect. Notes Comput. Sci. 9389, 499--508 (2015; Zbl 1406.49051) Full Text: DOI OpenURL
Cibulka, R.; Dontchev, A.; Geoffroy, M. H. Inexact Newton methods and Dennis-Moré theorems for nonsmooth generalized equations. (English) Zbl 1321.49044 SIAM J. Control Optim. 53, No. 2, 1003-1019 (2015). MSC: 49M15 49J53 49J52 49J40 47J22 47J25 47H04 65J15 90C30 PDF BibTeX XML Cite \textit{R. Cibulka} et al., SIAM J. Control Optim. 53, No. 2, 1003--1019 (2015; Zbl 1321.49044) Full Text: DOI OpenURL
Karas, Elizabeth W.; Santos, Sandra A.; Svaiter, Benar F. Algebraic rules for quadratic regularization of Newton’s method. (English) Zbl 1309.90102 Comput. Optim. Appl. 60, No. 2, 343-376 (2015). MSC: 90C30 65H10 65K10 90C20 90C53 49M15 PDF BibTeX XML Cite \textit{E. W. Karas} et al., Comput. Optim. Appl. 60, No. 2, 343--376 (2015; Zbl 1309.90102) Full Text: DOI OpenURL
Du, Shou-qiang Generalized Newton method for a kind of complementarity problem. (English) Zbl 1468.90133 Abstr. Appl. Anal. 2014, Article ID 745981, 5 p. (2014). MSC: 90C33 90C53 PDF BibTeX XML Cite \textit{S.-q. Du}, Abstr. Appl. Anal. 2014, Article ID 745981, 5 p. (2014; Zbl 1468.90133) Full Text: DOI OpenURL
Argyros, Ioannis K.; Magreñán, Ángel Alberto Extending the applicability of Gauss-Newton method for convex composite optimization on Riemannian manifolds. (English) Zbl 1338.90460 Appl. Math. Comput. 249, 453-467 (2014). MSC: 90C53 65K10 PDF BibTeX XML Cite \textit{I. K. Argyros} and \textit{Á. A. Magreñán}, Appl. Math. Comput. 249, 453--467 (2014; Zbl 1338.90460) Full Text: DOI OpenURL
Dreves, Axel; Facchinei, Francisco; Fischer, Andreas; Herrich, Markus A new error bound result for generalized Nash equilibrium problems and its algorithmic application. (English) Zbl 1307.91117 Comput. Optim. Appl. 59, No. 1-2, 63-84 (2014). MSC: 91B50 90C53 65K05 PDF BibTeX XML Cite \textit{A. Dreves} et al., Comput. Optim. Appl. 59, No. 1--2, 63--84 (2014; Zbl 1307.91117) Full Text: DOI OpenURL
Wang, Fu-Sheng; Jian, Jin-Bao; Wang, Chuan-Long A model-hybrid approach for unconstrained optimization problems. (English) Zbl 1300.65043 Numer. Algorithms 66, No. 4, 741-759 (2014). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C30 90C51 90C53 PDF BibTeX XML Cite \textit{F.-S. Wang} et al., Numer. Algorithms 66, No. 4, 741--759 (2014; Zbl 1300.65043) Full Text: DOI OpenURL
Gonçalves, M. L. N. Local convergence of the Gauss-Newton method for injective-overdetermined systems of equations under a majorant condition. (English) Zbl 1360.65160 Comput. Math. Appl. 66, No. 4, 490-499 (2013). MSC: 65J15 47J25 90C53 65K05 PDF BibTeX XML Cite \textit{M. L. N. Gonçalves}, Comput. Math. Appl. 66, No. 4, 490--499 (2013; Zbl 1360.65160) Full Text: DOI arXiv OpenURL
Muoi, Pham Quy; Hào, Dinh Nho; Maass, Peter; Pidcock, Michael Semismooth Newton and quasi-Newton methods in weighted \(\ell^1\)-regularization. (English) Zbl 1276.65034 J. Inverse Ill-Posed Probl. 21, No. 5, 665-693 (2013). MSC: 65K05 90C53 90C30 PDF BibTeX XML Cite \textit{P. Q. Muoi} et al., J. Inverse Ill-Posed Probl. 21, No. 5, 665--693 (2013; Zbl 1276.65034) Full Text: DOI OpenURL
Fan, Jinyan A Shamanskii-like Levenberg-Marquardt method for nonlinear equations. (English) Zbl 1282.90176 Comput. Optim. Appl. 56, No. 1, 63-80 (2013). Reviewer: Jörg Thierfelder (Ilmenau) MSC: 90C30 65H10 49M15 90C53 PDF BibTeX XML Cite \textit{J. Fan}, Comput. Optim. Appl. 56, No. 1, 63--80 (2013; Zbl 1282.90176) Full Text: DOI OpenURL
Yue, Lina; Yang, Yongjian A new integral filter algorithm for unconstrained global optimization. (English) Zbl 1272.65055 Numer. Algorithms 63, No. 3, 419-430 (2013). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C26 90C53 65C05 90C57 PDF BibTeX XML Cite \textit{L. Yue} and \textit{Y. Yang}, Numer. Algorithms 63, No. 3, 419--430 (2013; Zbl 1272.65055) Full Text: DOI OpenURL
Tang, Jia; Ma, Changfeng A regularized smoothing Newton method for mixed complementarity problems with a \(P_0\)-function. (Chinese. English summary) Zbl 1289.90235 J. Fujian Norm. Univ., Nat. Sci. 28, No. 5, 14-19 (2012). MSC: 90C33 90C53 PDF BibTeX XML Cite \textit{J. Tang} and \textit{C. Ma}, J. Fujian Norm. Univ., Nat. Sci. 28, No. 5, 14--19 (2012; Zbl 1289.90235) OpenURL
Wang, Jin-Hua; Yao, Jen-Chih; Li, Chong Gauss-Newton method for convex composite optimizations on Riemannian manifolds. (English) Zbl 1254.65076 J. Glob. Optim. 53, No. 1, 5-28 (2012). Reviewer: Jan Lovíšek (Bratislava) MSC: 65K05 65J15 90C25 90C48 53C25 PDF BibTeX XML Cite \textit{J.-H. Wang} et al., J. Glob. Optim. 53, No. 1, 5--28 (2012; Zbl 1254.65076) Full Text: DOI OpenURL
Chernyaev, Yu. A. Newton’s method for optimization problems with a convex smooth surface as a constraint. (Russian) Zbl 1249.90325 Zh. Vychisl. Mat. Mat. Fiz. 52, No. 2, 224-230 (2012). Reviewer: Andrei Zemskov (Moskva) MSC: 90C53 PDF BibTeX XML Cite \textit{Yu. A. Chernyaev}, Zh. Vychisl. Mat. Mat. Fiz. 52, No. 2, 224--230 (2012; Zbl 1249.90325) OpenURL
Narushima, Yasushi Symmetric rank-one method based on some modified secant conditions for unconstrained optimization. (English) Zbl 1241.90148 SUT J. Math. 47, No. 1, 25-43 (2011). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{Y. Narushima}, SUT J. Math. 47, No. 1, 25--43 (2011; Zbl 1241.90148) OpenURL
Siahaan, Antony; Lai, Choi-Hong; Pericleous, Koulis Local convergence of an adaptive scalar method and its application in a nonoverlapping domain decomposition scheme. (English) Zbl 1226.65044 J. Comput. Appl. Math. 235, No. 17, 5203-5212 (2011). Reviewer: Constantin Popa (Constanţa) MSC: 65H10 65N15 65N55 PDF BibTeX XML Cite \textit{A. Siahaan} et al., J. Comput. Appl. Math. 235, No. 17, 5203--5212 (2011; Zbl 1226.65044) Full Text: DOI OpenURL
Ferreira, O. P.; Gonçalves, M. L. N. Local convergence analysis of inexact Newton-like methods under majorant condition. (English) Zbl 1279.90195 Comput. Optim. Appl. 48, No. 1, 1-21 (2011). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 90C53 PDF BibTeX XML Cite \textit{O. P. Ferreira} and \textit{M. L. N. Gonçalves}, Comput. Optim. Appl. 48, No. 1, 1--21 (2011; Zbl 1279.90195) Full Text: DOI arXiv OpenURL
Sun, Fengjian; Xiao, Wei A new non-linear least square algorithm based on quasi-Newton type equations. (Chinese. English summary) Zbl 1240.65190 Numer. Math., Nanjing 32, No. 4, 333-344 (2010). MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{F. Sun} and \textit{W. Xiao}, Numer. Math., Nanjing 32, No. 4, 333--344 (2010; Zbl 1240.65190) OpenURL
Bütikofer, Stephan; Klatte, Diethard A nonsmooth Newton method with path search and its use in solving \(C^{1,1}\) programs and semi-infinite problems. (English) Zbl 1216.65068 SIAM J. Optim. 20, No. 5, 2381-2412 (2010). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C31 90C34 90C53 PDF BibTeX XML Cite \textit{S. Bütikofer} and \textit{D. Klatte}, SIAM J. Optim. 20, No. 5, 2381--2412 (2010; Zbl 1216.65068) Full Text: DOI OpenURL
Buhmiler, Sandra; Krejić, Nataša; Lužanin, Zorana Practical quasi-Newton algorithms for singular nonlinear systems. (English) Zbl 1201.65076 Numer. Algorithms 55, No. 4, 481-502 (2010). MSC: 65H10 PDF BibTeX XML Cite \textit{S. Buhmiler} et al., Numer. Algorithms 55, No. 4, 481--502 (2010; Zbl 1201.65076) Full Text: DOI OpenURL
Benahmed, Boubakeur; Fares, Ali; de Malafosse, Bruno; Yassine, Adnan The quasi-Newton method and the infinite matrix theory applied to the continued fractions. (English) Zbl 1239.40006 Afr. Diaspora J. Math. 8, No. 2, 1-16 (2009). MSC: 40C05 90C53 PDF BibTeX XML Cite \textit{B. Benahmed} et al., Afr. Diaspora J. Math. 8, No. 2, 1--16 (2009; Zbl 1239.40006) OpenURL
Tang, Jia; Liu, Sanyang; Ma, Changfeng One-step smoothing Newton method for solving the mixed complementarity problem with a \(P_{0}\) function. (English) Zbl 1179.65073 Appl. Math. Comput. 215, No. 6, 2326-2336 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C33 90C53 PDF BibTeX XML Cite \textit{J. Tang} et al., Appl. Math. Comput. 215, No. 6, 2326--2336 (2009; Zbl 1179.65073) Full Text: DOI OpenURL
Schlenkrich, Sebastian; Walther, Andrea Global convergence of quasi-Newton methods based on adjoint Broyden updates. (English) Zbl 1163.65025 Appl. Numer. Math. 59, No. 5, 1120-1136 (2009). Reviewer: Iulian Coroian (Baia Mare) MSC: 65H10 PDF BibTeX XML Cite \textit{S. Schlenkrich} and \textit{A. Walther}, Appl. Numer. Math. 59, No. 5, 1120--1136 (2009; Zbl 1163.65025) Full Text: DOI OpenURL
Pytlak, Radosław Conjugate gradient algorithms in nonconvex optimization. (English) Zbl 1171.49002 Nonconvex Optimization and Its Applications 89. Berlin: Springer (ISBN 978-3-540-85633-7/hbk; 978-3-540-85634-4/ebook). xxvi, 477 p. (2009). Reviewer: Armin Hoffmann (Ilmenau) MSC: 49-02 90-02 90C06 90C25 90C30 90C53 65K05 49M37 65K10 PDF BibTeX XML Cite \textit{R. Pytlak}, Conjugate gradient algorithms in nonconvex optimization. Berlin: Springer (2009; Zbl 1171.49002) Full Text: DOI OpenURL
Kelley, C. T.; Liao, Li-Zhi; Qi, Liqun; Chu, Moody T.; Reese, J. P.; Winton, C. Projected pseudotransient continuation. (English) Zbl 1180.65060 SIAM J. Numer. Anal. 46, No. 6, 3071-3083 (2008). MSC: 65H20 65H10 65K05 65L05 34A34 90C53 PDF BibTeX XML Cite \textit{C. T. Kelley} et al., SIAM J. Numer. Anal. 46, No. 6, 3071--3083 (2008; Zbl 1180.65060) Full Text: DOI OpenURL
Bütikofer, Stephan Globalizing a nonsmooth Newton method via nonmonotone path search. (English) Zbl 1211.90223 Math. Methods Oper. Res. 68, No. 2, 235-256 (2008). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{S. Bütikofer}, Math. Methods Oper. Res. 68, No. 2, 235--256 (2008; Zbl 1211.90223) Full Text: DOI Link OpenURL
Chen, Jein-Shan; Pan, Shaohua A regularization semismooth Newton method based on the generalized Fischer-Burmeister function for \(P_0\)-NCPs. (English) Zbl 1167.65033 J. Comput. Appl. Math. 220, No. 1-2, 464-479 (2008). Reviewer: Maciek Korzec (Berlin) MSC: 65K05 90C33 90C53 PDF BibTeX XML Cite \textit{J.-S. Chen} and \textit{S. Pan}, J. Comput. Appl. Math. 220, No. 1--2, 464--479 (2008; Zbl 1167.65033) Full Text: DOI OpenURL
Zhang, Juliang; Wu, Lingyun; Zhang, Xiangsun A trust region method for optimization problem with singular solutions. (English) Zbl 1144.90020 Appl. Math. Optimization 56, No. 3, 379-394 (2007). MSC: 90C26 90C53 PDF BibTeX XML Cite \textit{J. Zhang} et al., Appl. Math. Optim. 56, No. 3, 379--394 (2007; Zbl 1144.90020) Full Text: DOI OpenURL
Yabe, Hiroshi; Ogasawara, Hideho; Yoshino, Masayuki Local and superlinear convergence of quasi-Newton methods based on modified secant conditions. (English) Zbl 1124.65054 J. Comput. Appl. Math. 205, No. 1, 617-632 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{H. Yabe} et al., J. Comput. Appl. Math. 205, No. 1, 617--632 (2007; Zbl 1124.65054) Full Text: DOI OpenURL
Zhou, Guanglu; Qi, Liqun On the convergence of an inexact Newton-type method. (English) Zbl 1112.90097 Oper. Res. Lett. 34, No. 6, 647-652 (2006). MSC: 90C53 PDF BibTeX XML Cite \textit{G. Zhou} and \textit{L. Qi}, Oper. Res. Lett. 34, No. 6, 647--652 (2006; Zbl 1112.90097) Full Text: DOI OpenURL
Bonettini, Silvia; Galligani, Emanuele; Ruggiero, Valeria An inexact Newton method combined with Hestenes multipliers’ scheme for the solution of Karush-Kuhn-Tucker systems. (English) Zbl 1080.65046 Appl. Math. Comput. 168, No. 1, 651-676 (2005). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 90C53 90C06 65K10 49J20 49M37 PDF BibTeX XML Cite \textit{S. Bonettini} et al., Appl. Math. Comput. 168, No. 1, 651--676 (2005; Zbl 1080.65046) Full Text: DOI OpenURL
El-Alem, M. M.; El-Sayed, S.; El-Sobky, B. Local convergence of the interior-point Newton method for general nonlinear programming. (English) Zbl 1136.90510 J. Optim. Theory Appl. 120, No. 3, 487-502 (2004). MSC: 90C51 90C53 90C30 PDF BibTeX XML Cite \textit{M. M. El-Alem} et al., J. Optim. Theory Appl. 120, No. 3, 487--502 (2004; Zbl 1136.90510) Full Text: DOI OpenURL
Skrondal, Anders; Rabe-Hesketh, Sophia Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. (English) Zbl 1097.62001 Interdisciplinary Statistics. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-000-7/hbk; 978-0-203-48943-7/ebook). xi, 508 p. (2004). Reviewer: Yuehua Wu (Toronto) MSC: 62-02 62J12 65C60 62Pxx PDF BibTeX XML Cite \textit{A. Skrondal} and \textit{S. Rabe-Hesketh}, Generalized latent variable modeling. Multilevel, longitudinal, and structural equation models. Boca Raton, FL: Chapman \& Hall/CRC (2004; Zbl 1097.62001) Full Text: Link OpenURL
Yabe, Hiroshi; Yamashita, Hiroshi Local convergence properties of primal-dual interior point methods based on the shifted barrier KKT conditions for nonlinear optimization. (English) Zbl 1042.90043 SUT J. Math. 39, No. 1, 85-104 (2003). Reviewer: Gong Yun Zhao (Singapore) MSC: 90C30 90C51 90C53 PDF BibTeX XML Cite \textit{H. Yabe} and \textit{H. Yamashita}, SUT J. Math. 39, No. 1, 85--104 (2003; Zbl 1042.90043) OpenURL
Zhang, Ju-liang; Wang, Yong A new trust region method for nonlinear equations. (English) Zbl 1043.65072 Math. Methods Oper. Res. 58, No. 2, 283-298 (2003). Reviewer: B. Döring (Düsseldorf) MSC: 65H10 90C53 90C30 PDF BibTeX XML Cite \textit{J.-l. Zhang} and \textit{Y. Wang}, Math. Methods Oper. Res. 58, No. 2, 283--298 (2003; Zbl 1043.65072) Full Text: DOI OpenURL
Calvetti, Daniela; Reichel, Lothar Gauss quadrature applied to trust region computations. (English) Zbl 1033.65039 Numer. Algorithms 34, No. 1, 85-102 (2003). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C06 90C60 90C53 PDF BibTeX XML Cite \textit{D. Calvetti} and \textit{L. Reichel}, Numer. Algorithms 34, No. 1, 85--102 (2003; Zbl 1033.65039) Full Text: DOI OpenURL
Huang, Z. H.; Han, J.; Chen, Z. Predictor-corrector smoothing Newton method, based on a new smoothing function, for solving the nonlinear complementarity problem with a \(P_0\) function. (English) Zbl 1044.90081 J. Optimization Theory Appl. 117, No. 1, 39-68 (2003). MSC: 90C33 49M15 90C53 PDF BibTeX XML Cite \textit{Z. H. Huang} et al., J. Optim. Theory Appl. 117, No. 1, 39--68 (2003; Zbl 1044.90081) Full Text: DOI OpenURL
Kriete, Hartje Holomorphic motions in the parameter space for the relaxed Newton’s method. (English) Zbl 1016.37020 Kodai Math. J. 25, No. 2, 89-107 (2002). MSC: 37F10 37C25 30D05 30D20 65E05 65H05 PDF BibTeX XML Cite \textit{H. Kriete}, Kodai Math. J. 25, No. 2, 89--107 (2002; Zbl 1016.37020) Full Text: DOI Euclid OpenURL
Krejić, Nataša; Rapajić, Sanja Quasi-Newton methods for semismooth reducible systems. (English) Zbl 1037.65052 Herceg, D. (ed.) et al., PRIM 2000. Proceedings of the XIV conference on applied mathematics, Palić, Yugoslavia, May 29–June 02, 2000. Novi Sad: Univ. of Novi Sad, Faculty of Science, Institute of Mathematics. 63-74 (2001). Reviewer: Dejan Bojović (Kragujevac) MSC: 65H10 65K05 90C53 90C33 PDF BibTeX XML Cite \textit{N. Krejić} and \textit{S. Rapajić}, in: PRIM 2000. Proceedings of the XIV conference on applied mathematics, Palić, Yugoslavia, May 29--June 02, 2000. Novi Sad: Univ. of Novi Sad, Faculty of Science, Institute of Mathematics. 63--74 (2001; Zbl 1037.65052) OpenURL
Luccioni, Laurent X.; Pestana, Juan M.; Rodriguez-Marek, Adrian An implicit integration algorithm for the finite element implementation of a nonlinear anisotropic material model including hysteretic nonlinearity. (English) Zbl 1009.74065 Comput. Methods Appl. Mech. Eng. 190, No. 13-14, 1827-1844 (2000). MSC: 74S05 74C15 74L10 PDF BibTeX XML Cite \textit{L. X. Luccioni} et al., Comput. Methods Appl. Mech. Eng. 190, No. 13--14, 1827--1844 (2000; Zbl 1009.74065) Full Text: DOI OpenURL
Udrişte, Constantin Finslerian convexity and optimization. (English) Zbl 1014.53044 Antonelli, P. L. (ed.), Finslerian geometries. A meeting of minds. Proceedings of the international conference on Finsler and Lagrange geometry and its applications, Edmonton, Canada, August 13-20, 1998. Dordrecht: Kluwer Academic Publishers. Fundam. Theor. Phys. 109, 283-296 (2000). Reviewer: Vladimir Balan (Bucureşti) MSC: 53C60 65K05 49M15 90C53 53B40 PDF BibTeX XML Cite \textit{C. Udrişte}, Fundam. Theor. Phys. 109, 283--296 (2000; Zbl 1014.53044) OpenURL
Zhang, Jianjun; Wang, Deren On the convergence of generalized Newton method. (Chinese. English summary) Zbl 0960.65059 Acta Math. Appl. Sin. 22, No. 4, 513-521 (1999). MSC: 65H10 65K05 90C30 90C33 65K10 49J40 90C53 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{D. Wang}, Acta Math. Appl. Sin. 22, No. 4, 513--521 (1999; Zbl 0960.65059) OpenURL
Xu, Jian-Jun Convergence of partially asynchronous block quasi-Newton methods for nonlinear systems of equations. (English) Zbl 0937.65059 J. Comput. Appl. Math. 103, No. 2, 307-321 (1999). MSC: 65H10 PDF BibTeX XML Cite \textit{J.-J. Xu}, J. Comput. Appl. Math. 103, No. 2, 307--321 (1999; Zbl 0937.65059) Full Text: DOI OpenURL
Tseng, Paul Analysis of a non-interior continuation method based on Chen-Mangasarian smoothing functions for complementarity problems. (English) Zbl 0928.65078 Fukushima, Masao (ed.) et al., Reformulation: nonsmooth, piecewise smooth, semismooth and smoothing methods. Session in the 16th international symposium on Mathematical programming (ismp97) held at Lausanne EPFL, Switzerland, August 24–29, 1997. Boston: Kluwer Academic Publishers. Appl. Optim. 22, 381-404 (1999). MSC: 65K05 90C33 90C53 PDF BibTeX XML Cite \textit{P. Tseng}, Appl. Optim. 22, 381--404 (1999; Zbl 0928.65078) OpenURL
Kulikovskij, A. G.; Chugainova, A. P. Disintegration conditions for a nonlinear wave in a viscoelastic medium. (English. Russian original) Zbl 0962.74030 Comput. Math. Math. Phys. 38, No. 2, 305-312 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 315-323 (1998). Reviewer: Alexey Tret’yakov (Siedlce) MSC: 74J30 74S20 74J40 74D05 PDF BibTeX XML Cite \textit{A. G. Kulikovskij} and \textit{A. P. Chugainova}, Comput. Math. Math. Phys. 38, No. 2, 1 (1998; Zbl 0962.74030); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 2, 315--323 (1998) OpenURL
Thompson, C. P.; Lezeau, P. Application of the full approximation storage method to the numerical simulation of two-dimensional steady incompressible viscous multiphase flows. (English) Zbl 0979.76066 Int. J. Numer. Methods Fluids 28, No. 8, 1217-1239 (1998). Reviewer: Prabhat Kumar Mahanti (Mesra(Ranchi)) MSC: 76M25 65N55 PDF BibTeX XML Cite \textit{C. P. Thompson} and \textit{P. Lezeau}, Int. J. Numer. Methods Fluids 28, No. 8, 1217--1239 (1998; Zbl 0979.76066) Full Text: DOI OpenURL
Yabe, Hiroshi; Ogasawara, Hideho Quadratic and superlinear convergence of the Huschens method for nonlinear least squares problems. (English) Zbl 0911.90313 Comput. Optim. Appl. 10, No. 1, 79-103 (1998). MSC: 90C30 PDF BibTeX XML Cite \textit{H. Yabe} and \textit{H. Ogasawara}, Comput. Optim. Appl. 10, No. 1, 79--103 (1998; Zbl 0911.90313) Full Text: DOI OpenURL
Lourenço, Paulo B.; de Borst, René; Rots, Jan G. A plane stress softening plasticity model for orthotropic materials. (English) Zbl 0897.73015 Int. J. Numer. Methods Eng. 40, No. 21, 4033-4057 (1997). MSC: 74C99 74S30 74E10 PDF BibTeX XML Cite \textit{P. B. Lourenço} et al., Int. J. Numer. Methods Eng. 40, No. 21, 4033--4057 (1997; Zbl 0897.73015) Full Text: DOI OpenURL
Chen, Xiaojun Superlinear convergence of smoothing quasi-Newton methods for nonsmooth equations. (English) Zbl 0881.65042 J. Comput. Appl. Math. 80, No. 1, 105-126 (1997). Reviewer: B.Döring (Düsseldorf) MSC: 65H10 65K10 49J40 49M25 PDF BibTeX XML Cite \textit{X. Chen}, J. Comput. Appl. Math. 80, No. 1, 105--126 (1997; Zbl 0881.65042) Full Text: DOI OpenURL
Herceg, Dragoslav; Krejić, Nataša; Lužanin, Zorana Quasi-Newton’s method with correction. (English) Zbl 0948.65052 Novi Sad J. Math. 26, No. 1, 115-127 (1996). Reviewer: Miodrag Petković (Niš) MSC: 65H10 65Y20 PDF BibTeX XML Cite \textit{D. Herceg} et al., Novi Sad J. Math. 26, No. 1, 115--127 (1996; Zbl 0948.65052) Full Text: EuDML OpenURL
Boggs, Paul T.; Tolle, Jon W. Sequential quadratic programming. (English) Zbl 0828.65060 Iserles, A. (ed.), Acta Numerica 1995. Cambridge: Cambridge University Press. 1-51 (1995). Reviewer: K.Schittkowski (Bayreuth) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{P. T. Boggs} and \textit{J. W. Tolle}, Acta Numerica 1995, 1--51 (1995; Zbl 0828.65060) OpenURL
Deng, N.; Spedicato, E.; Zhu, M. A local convergence theorem for nonlinear ABS algorithms. (English) Zbl 0806.65047 Comput. Appl. Math. 13, No. 1, 49-59 (1994). Reviewer: D.Braess (Bochum) MSC: 65H10 PDF BibTeX XML Cite \textit{N. Deng} et al., Comput. Appl. Math. 13, No. 1, 49--59 (1994; Zbl 0806.65047) OpenURL
Gasparo, M. Grazia; Macconi, M. Parallel quasi-Newton techniques with applications to shooting methods. (English) Zbl 0798.65085 Appl. Numer. Math. 11, No. 1-3, 159-167 (1993). Reviewer: N.Vulchanov (Gabrovo) MSC: 65L10 65Y05 65H10 34B15 PDF BibTeX XML Cite \textit{M. G. Gasparo} and \textit{M. Macconi}, Appl. Numer. Math. 11, No. 1--3, 159--167 (1993; Zbl 0798.65085) Full Text: DOI OpenURL
Liao, Ai-Ping Superlinear convergence of a class of \(\theta\)-bounded rank-one update methods. (English) Zbl 0769.65022 Appl. Math. Lett. 6, No. 1, 63-67 (1993). MSC: 65H10 PDF BibTeX XML Cite \textit{A.-P. Liao}, Appl. Math. Lett. 6, No. 1, 63--67 (1993; Zbl 0769.65022) Full Text: DOI OpenURL
Ariyawansa, K. A.; Lau, D. T. M. Local and \(q\)-superlinear convergence of a class of collinear scaling algorithms that extends quasi-Newton methods with Broyden’s bounded- \(\phi\) class of updates. (English) Zbl 0815.65086 Optimization 23, No. 4, 323-339 (1992). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{K. A. Ariyawansa} and \textit{D. T. M. Lau}, Optimization 23, No. 4, 323--339 (1992; Zbl 0815.65086) Full Text: DOI OpenURL
Reed, M. B. Newton-like methods with limited storage, for the solution of elasto- viscoplasticity problems. (English) Zbl 0768.73095 Int. J. Numer. Methods Eng. 35, No. 2, 223-240 (1992). MSC: 74S30 74C10 PDF BibTeX XML Cite \textit{M. B. Reed}, Int. J. Numer. Methods Eng. 35, No. 2, 223--240 (1992; Zbl 0768.73095) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{J. R. Engels} and \textit{H. J. Martínez}, SIAM J. Optim. 1, No. 1, 42--56 (1991; Zbl 0752.90063) 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
Dodu, J. C.; Huard, P. Méthodes de quasi-Newton sous constraintes non linéaires: Algorithmes à convergence locale superlinéaire. II: Convergence en x seul. (Quasi-Newton methods in the nonlinearly constrained case: Locally and superlinearly convergent algorithms. II: Convergence of the quadratic program solution itself). (French) Zbl 0715.65040 Bull. Dir. Etud. Rech., Sér. C 1989, No. 3, 63-108 (1989). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. C. Dodu} and \textit{P. Huard}, Bull. Dir. Étud. Rech., Sér. C 1989, No. 3, 63--108 (1989; Zbl 0715.65040) OpenURL
Griewank, Andreas; Sheng, Laihua On the Gauss-Broyden method for nonlinear least squares. (English) Zbl 0676.65064 Mathematics for large scale computing, Lect. Notes Pure Appl. Math. 120, 1-33 (1989). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDF BibTeX XML 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
Dennis, J. E. jun.; Li, Guangye A hybrid algorithm for solving sparse nonlinear systems of equations. (English) Zbl 0657.65064 Math. Comput. 50, No. 181, 155-166 (1988). Reviewer: T.F.Coleman MSC: 65H10 65K05 PDF BibTeX XML Cite \textit{J. E. Dennis jun.} and \textit{G. Li}, Math. Comput. 50, No. 181, 155--166 (1988; Zbl 0657.65064) Full Text: DOI OpenURL
Calamai, Paul H.; Moré, Jorge J. Quasi-Newton updates with bounds. (English) Zbl 0644.65033 SIAM J. Numer. Anal. 24, 1434-1441 (1987). Reviewer: D.Braess MSC: 65H10 65K05 PDF BibTeX XML Cite \textit{P. H. Calamai} and \textit{J. J. Moré}, SIAM J. Numer. Anal. 24, 1434--1441 (1987; Zbl 0644.65033) Full Text: DOI OpenURL
Sachs, Ekkehard W. Broyden’s method in Hilbert space. (English) Zbl 0598.90080 Math. Program. 35, 71-82 (1986). Reviewer: A.Donescu MSC: 90C30 49M15 65K05 49M37 PDF BibTeX XML Cite \textit{E. W. Sachs}, Math. Program. 35, 71--82 (1986; Zbl 0598.90080) Full Text: DOI OpenURL
Dennis, J. E. jun.; Walker, Homer F. Least-change sparse secant update methods with inaccurate secant conditions. (English) Zbl 0597.65049 SIAM J. Numer. Anal. 22, 760-778 (1985). Reviewer: B.Döring MSC: 65H10 PDF BibTeX XML Cite \textit{J. E. Dennis jun.} and \textit{H. F. Walker}, SIAM J. Numer. Anal. 22, 760--778 (1985; Zbl 0597.65049) Full Text: DOI OpenURL
Fontecilla, Rodrigo On inexact quasi-Newton methods for constrained optimization. (English) Zbl 0566.65049 Numerical optimization, Proc. SIAM Conf., Boulder/Colo. 1984, 102-118 (1985). Reviewer: K.Schittkowski MSC: 65K05 90C30 PDF BibTeX XML OpenURL
Stephan, Ernst P.; Wendland, Wolfgang L. An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems. (English) Zbl 0522.73083 Appl. Anal. 18, 183-219 (1985). MSC: 74R05 65R20 65N35 45B05 35J05 31A25 49M15 74S30 PDF BibTeX XML Cite \textit{E. P. Stephan} and \textit{W. L. Wendland}, Appl. Anal. 18, 183--219 (1985; Zbl 0522.73083) Full Text: DOI OpenURL
Coleman, Thomas F.; Conn, Andrew R. On the local convergence of a quasi-Newton method for the nonlinear programming problem. (English) Zbl 0566.65046 SIAM J. Numer. Anal. 21, 755-769 (1984). Reviewer: B.Döring MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{T. F. Coleman} and \textit{A. R. Conn}, SIAM J. Numer. Anal. 21, 755--769 (1984; Zbl 0566.65046) Full Text: DOI Link OpenURL
Martínez, J. M. A quasi-Newton method with modification of one column per iteration. (English) Zbl 0546.90102 Computing 33, 353-362 (1984). MSC: 90C90 90C05 65H10 PDF BibTeX XML Cite \textit{J. M. Martínez}, Computing 33, 353--362 (1984; Zbl 0546.90102) Full Text: DOI OpenURL
Maruster, St.; Popovici, P. Generalized gradient method. (English) Zbl 0528.65027 An. Univ. Timisoara, Stiinte Mat. 21, 85-94 (1983). MSC: 65H10 PDF BibTeX XML Cite \textit{St. Maruster} and \textit{P. Popovici}, An. Univ. Timișoara, Științe Mat. 21, 85--94 (1983; Zbl 0528.65027) OpenURL
Martinez, J. M. A quasi-Newton method with a new updating for the LDU factorization of the approximate Jacobian. (English) Zbl 0521.65030 Mat. Apl. Comput. 2, 131-141 (1983). MSC: 65H10 PDF BibTeX XML Cite \textit{J. M. Martinez}, Mat. Apl. Comput. 2, 131--141 (1983; Zbl 0521.65030) OpenURL
Nour-Omid, Bahram; Parlett, Beresford N.; Taylor, Robert L. A Newton-Lanczos method for solution of nonlinear finite element equations. (English) Zbl 0499.73058 Comput. Struct. 16, 241-252 (1983). MSC: 74S05 65H10 PDF BibTeX XML Cite \textit{B. Nour-Omid} et al., Comput. Struct. 16, 241--252 (1983; Zbl 0499.73058) Full Text: DOI OpenURL
Griewank, A.; Toint, Ph. L. Local convergence analysis for partitioned quasi-Newton updates. (English) Zbl 0505.65018 Numer. Math. 39, 429-448 (1982). MSC: 65K05 65H10 90C30 PDF BibTeX XML Cite \textit{A. Griewank} and \textit{Ph. L. Toint}, Numer. Math. 39, 429--448 (1982; Zbl 0505.65018) Full Text: DOI EuDML OpenURL
Han, Shih-Ping A hybrid method for nonlinear programming. (English) Zbl 0458.90054 Nonlinear programming 3, Proc. Symp., Madison/Wis. 1977, 65-95 (1978). MSC: 90C30 65K05 PDF BibTeX XML OpenURL