Rodomanov, Anton; Nesterov, Yurii Greedy quasi-Newton methods with explicit superlinear convergence. (English) Zbl 07319283 SIAM J. Optim. 31, No. 1, 785-811 (2021). MSC: 90C53 90C30 68Q25 PDF BibTeX XML Cite \textit{A. Rodomanov} and \textit{Y. Nesterov}, SIAM J. Optim. 31, No. 1, 785--811 (2021; Zbl 07319283) Full Text: DOI
Ahookhosh, Masoud; Themelis, Andreas; Patrinos, Panagiotis A Bregman forward-backward linesearch algorithm for nonconvex composite optimization: superlinear convergence to nonisolated local minima. (English) Zbl 07319278 SIAM J. Optim. 31, No. 1, 653-685 (2021). MSC: 90C06 90C25 90C26 49J52 49J53 PDF BibTeX XML Cite \textit{M. Ahookhosh} et al., SIAM J. Optim. 31, No. 1, 653--685 (2021; Zbl 07319278) Full Text: DOI
Gfrerer, Helmut; Outrata, Jiří V. On a semismooth* Newton method for solving generalized equations. (English) Zbl 07319272 SIAM J. Optim. 31, No. 1, 489-517 (2021). MSC: 65K10 65K15 90C33 PDF BibTeX XML Cite \textit{H. Gfrerer} and \textit{J. V. Outrata}, SIAM J. Optim. 31, No. 1, 489--517 (2021; Zbl 07319272) Full Text: DOI
Bellavia, Stefania; Krejić, Nataša; Krklec Jerinkić, Nataša Subsampled inexact Newton methods for minimizing large sums of convex functions. (English) Zbl 07330059 IMA J. Numer. Anal. 40, No. 4, 2309-2341 (2020). MSC: 65 PDF BibTeX XML Cite \textit{S. Bellavia} et al., IMA J. Numer. Anal. 40, No. 4, 2309--2341 (2020; Zbl 07330059) Full Text: DOI
Huang, Ming; Lin, Sida; Yuan, Jinlong; Gong, Zhaohua; Liang, Xijun A \(\mathcal{VU}\)-decomposition technique for a class of eigenvalue optimizations. (English) Zbl 07313894 Pac. J. Optim. 16, No. 1, 129-142 (2020). MSC: 90C56 15A23 PDF BibTeX XML Cite \textit{M. Huang} et al., Pac. J. Optim. 16, No. 1, 129--142 (2020; Zbl 07313894) Full Text: Link
Mohammadi, Ashkan; Mordukhovich, Boris S.; Sarabi, M. Ebrahim Superlinear convergence of the sequential quadratic method in constrained optimization. (English) Zbl 1441.90162 J. Optim. Theory Appl. 186, No. 3, 731-758 (2020). MSC: 90C31 65K99 49J52 49J53 PDF BibTeX XML Cite \textit{A. Mohammadi} et al., J. Optim. Theory Appl. 186, No. 3, 731--758 (2020; Zbl 1441.90162) Full Text: DOI
Pollock, Sara; Schwartz, Hunter Benchmarking results for the Newton-Anderson method. (English) Zbl 1436.65063 Results Appl. Math. 8, Article ID 100095, 10 p. (2020). MSC: 65H10 65B05 PDF BibTeX XML Cite \textit{S. Pollock} and \textit{H. Schwartz}, Results Appl. Math. 8, Article ID 100095, 10 p. (2020; Zbl 1436.65063) Full Text: DOI
Chen, Zhongwen; Dai, Yu-Hong; Liu, Jiangyan A penalty-free method with superlinear convergence for equality constrained optimization. (English) Zbl 1446.90146 Comput. Optim. Appl. 76, No. 3, 801-833 (2020). MSC: 90C30 90C55 65K05 PDF BibTeX XML Cite \textit{Z. Chen} et al., Comput. Optim. Appl. 76, No. 3, 801--833 (2020; Zbl 1446.90146) Full Text: DOI
Fernández, Damián; Solodov, Mikhail On the cost of solving augmented Lagrangian subproblems. (English) Zbl 1445.90104 Math. Program. 182, No. (1-2 (A)), 37-55 (2020). MSC: 90C30 90C33 90C55 65K05 PDF BibTeX XML Cite \textit{D. Fernández} and \textit{M. Solodov}, Math. Program. 182, No. (1--2 (A)), 37--55 (2020; Zbl 1445.90104) Full Text: DOI
Lin, Matthew M.; Chiang, Chun-Yueh On the semigroup property for some structured iterations. (English) Zbl 1434.65046 J. Comput. Appl. Math. 374, Article ID 112768, 17 p. (2020). MSC: 65F45 65F10 15A24 PDF BibTeX XML Cite \textit{M. M. Lin} and \textit{C.-Y. Chiang}, J. Comput. Appl. Math. 374, Article ID 112768, 17 p. (2020; Zbl 1434.65046) Full Text: DOI
Ge, Xiao; Chen, Xiao Shan; Vong, Seak-Weng Inexact generalized Noda iterations for generalized eigenproblems. (English) Zbl 1425.65054 J. Comput. Appl. Math. 366, Article ID 112418, 12 p. (2020). MSC: 65F15 PDF BibTeX XML Cite \textit{X. Ge} et al., J. Comput. Appl. Math. 366, Article ID 112418, 12 p. (2020; Zbl 1425.65054) Full Text: DOI
Śmietański, Marek J. On a new exponential iterative method for solving nonsmooth equations. (English) Zbl 07144920 Numer. Linear Algebra Appl. 26, No. 5, e2255, 8 p. (2019). MSC: 65H10 PDF BibTeX XML Cite \textit{M. J. Śmietański}, Numer. Linear Algebra Appl. 26, No. 5, e2255, 8 p. (2019; Zbl 07144920) Full Text: DOI
Rezaee, Saeed; Babaie-Kafaki, Saman An adaptive nonmonotone trust region method based on a modified scalar approximation of the Hessian in the successive quadratic subproblems. (English) Zbl 07127052 RAIRO, Oper. Res. 53, No. 3, 829-839 (2019). MSC: 65K05 90C53 49M37 PDF BibTeX XML Cite \textit{S. Rezaee} and \textit{S. Babaie-Kafaki}, RAIRO, Oper. Res. 53, No. 3, 829--839 (2019; Zbl 07127052) Full Text: DOI
Dai, Yu-Hong; Huang, Yakui; Liu, Xin-Wei A family of spectral gradient methods for optimization. (English) Zbl 1427.90260 Comput. Optim. Appl. 74, No. 1, 43-65 (2019). MSC: 90C30 90C57 PDF BibTeX XML Cite \textit{Y.-H. Dai} et al., Comput. Optim. Appl. 74, No. 1, 43--65 (2019; Zbl 1427.90260) Full Text: DOI
Chakraborty, Suvra Kanti; Panda, Geetanjali Two-phase quasi-Newton method for unconstrained optimization problem. (English) Zbl 1438.90318 Afr. Mat. 30, No. 5-6, 737-746 (2019). MSC: 90C30 90C53 PDF BibTeX XML Cite \textit{S. K. Chakraborty} and \textit{G. Panda}, Afr. Mat. 30, No. 5--6, 737--746 (2019; Zbl 1438.90318) Full Text: DOI
Yue, Man-Chung; Zhou, Zirui; So, Anthony Man-Cho A family of inexact SQA methods for non-smooth convex minimization with provable convergence guarantees based on the Luo-Tseng error bound property. (English) Zbl 1412.49061 Math. Program. 174, No. 1-2 (B), 327-358 (2019). MSC: 49M15 65K10 90C55 PDF BibTeX XML Cite \textit{M.-C. Yue} et al., Math. Program. 174, No. 1--2 (B), 327--358 (2019; Zbl 1412.49061) Full Text: DOI arXiv
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
Rezaee, Saeed; Babaie-Kafaki, Saman An adaptive nonmonotone trust region algorithm. (English) Zbl 1407.65068 Optim. Methods Softw. 34, No. 2, 264-277 (2019). MSC: 65K05 90C30 90C53 49M37 PDF BibTeX XML Cite \textit{S. Rezaee} and \textit{S. Babaie-Kafaki}, Optim. Methods Softw. 34, No. 2, 264--277 (2019; Zbl 1407.65068) Full Text: DOI
Sabanis, Sotirios; Zhang, Ying On explicit order 1.5 approximations with varying coefficients: the case of super-linear diffusion coefficients. (English) Zbl 1403.60048 J. Complexity 50, 84-115 (2019). MSC: 60H10 60H35 65C30 PDF BibTeX XML Cite \textit{S. Sabanis} and \textit{Y. Zhang}, J. Complexity 50, 84--115 (2019; Zbl 1403.60048) Full Text: DOI
Fischer, Andreas; Herrich, Markus Newton-type methods for Fritz John systems of generalized Nash equilibrium problems. (English) Zbl 07300562 Pure Appl. Funct. Anal. 3, No. 4, 587-602 (2018). MSC: 49M15 65K15 90C33 PDF BibTeX XML Cite \textit{A. Fischer} and \textit{M. Herrich}, Pure Appl. Funct. Anal. 3, No. 4, 587--602 (2018; Zbl 07300562) Full Text: Link
Bao, Ji-Feng; Guu, Sy-Ming; Wang, Jinhua; Hu, Yaohua; Li, Chong On convergence of a truncated Gauss-Newton method for solving underdetermined nonlinear least squares problems. (English) Zbl 1455.65092 J. Nonlinear Convex Anal. 19, No. 12, 2235-2246 (2018). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J.-F. Bao} et al., J. Nonlinear Convex Anal. 19, No. 12, 2235--2246 (2018; Zbl 1455.65092) Full Text: Link
Burdakov, Oleg; Kamandi, Ahmad Multipoint secant and interpolation methods with nonmonotone line search for solving systems of nonlinear equations. (English) Zbl 1427.65078 Appl. Math. Comput. 338, 421-431 (2018). MSC: 65H10 65K05 90C30 PDF BibTeX XML Cite \textit{O. Burdakov} and \textit{A. Kamandi}, Appl. Math. Comput. 338, 421--431 (2018; Zbl 1427.65078) Full Text: DOI arXiv
Macías, Mauricio; Martínez, Héctor J.; Pérez, Rosana A globalized Newton type algorithm to solve the matrix quadratic equation. (Spanish. English summary) Zbl 07104537 Rev. Integr. 36, No. 2, 117-132 (2018). MSC: 65F45 15A24 PDF BibTeX XML Cite \textit{M. Macías} et al., Rev. Integr. 36, No. 2, 117--132 (2018; Zbl 07104537) Full Text: DOI
Cai, Yunfeng; Bai, Zhaojun; Pask, John E.; Sukumar, N. Convergence analysis of a locally accelerated preconditioned steepest descent method for Hermitian-definite generalized eigenvalue problems. (English) Zbl 1424.65039 J. Comput. Math. 36, No. 5, 739-760 (2018). MSC: 65F15 65F08 PDF BibTeX XML Cite \textit{Y. Cai} et al., J. Comput. Math. 36, No. 5, 739--760 (2018; Zbl 1424.65039) Full Text: DOI arXiv
Li, Jianling; Yang, Zhenping A QP-free algorithm without a penalty function or a filter for nonlinear general-constrained optimization. (English) Zbl 1426.90236 Appl. Math. Comput. 316, 52-72 (2018). MSC: 90C30 65K05 90C55 PDF BibTeX XML Cite \textit{J. Li} and \textit{Z. Yang}, Appl. Math. Comput. 316, 52--72 (2018; Zbl 1426.90236) Full Text: DOI
Shen, Weiping; Xu, Lihua; Zhou, Wenjing The convergence of the Ulm-like method under the \(\omega \) condition. (Chinese. English summary) Zbl 1424.65077 J. Zhejiang Norm. Univ., Nat. Sci. 41, No. 3, 247-254 (2018). MSC: 65J15 PDF BibTeX XML Cite \textit{W. Shen} et al., J. Zhejiang Norm. Univ., Nat. Sci. 41, No. 3, 247--254 (2018; Zbl 1424.65077) Full Text: DOI
Helou, Elias S.; Santos, Sandra A.; Simões, Lucas E. A. A fast gradient and function sampling method for finite-max functions. (English) Zbl 1414.90285 Comput. Optim. Appl. 71, No. 3, 673-717 (2018). MSC: 90C26 PDF BibTeX XML Cite \textit{E. S. Helou} et al., Comput. Optim. Appl. 71, No. 3, 673--717 (2018; Zbl 1414.90285) Full Text: DOI
Sheng, Zhou; Yuan, Gonglin An effective adaptive trust region algorithm for nonsmooth minimization. (English) Zbl 1406.90099 Comput. Optim. Appl. 71, No. 1, 251-271 (2018). MSC: 90C26 65K05 PDF BibTeX XML Cite \textit{Z. Sheng} and \textit{G. Yuan}, Comput. Optim. Appl. 71, No. 1, 251--271 (2018; Zbl 1406.90099) Full Text: DOI
Fan, Bin; Ma, Changfeng; Wu, Aidi; Wu, Chao A Levenberg-Marquardt method for nonlinear complementarity problems based on nonmonotone trust region and line search techniques. (English) Zbl 1398.65122 Mediterr. J. Math. 15, No. 3, Paper No. 118, 19 p. (2018). MSC: 65K05 90C33 PDF BibTeX XML Cite \textit{B. Fan} et al., Mediterr. J. Math. 15, No. 3, Paper No. 118, 19 p. (2018; Zbl 1398.65122) Full Text: DOI
Kheirfam, Behrouz; Chitsaz, Maryam Polynomial convergence of two higher order interior-point methods for \(P_*(\kappa)\)-LCP in a wide neighborhood of the central path. (English) Zbl 1413.90310 Period. Math. Hung. 76, No. 2, 243-264 (2018). MSC: 90C51 90C20 PDF BibTeX XML Cite \textit{B. Kheirfam} and \textit{M. Chitsaz}, Period. Math. Hung. 76, No. 2, 243--264 (2018; Zbl 1413.90310) Full Text: DOI
Rezaee, Saeed; Babaie-Kafaki, Saman A modified nonmonotone trust region line search method. (English) Zbl 1393.49023 J. Appl. Math. Comput. 57, No. 1-2, 421-436 (2018). MSC: 49M37 65K05 90C53 PDF BibTeX XML Cite \textit{S. Rezaee} and \textit{S. Babaie-Kafaki}, J. Appl. Math. Comput. 57, No. 1--2, 421--436 (2018; Zbl 1393.49023) Full Text: DOI
Babaie-Kafaki, Saman; Rezaee, Saeed Two accelerated nonmonotone adaptive trust region line search methods. (English) Zbl 1395.49026 Numer. Algorithms 78, No. 3, 911-928 (2018). MSC: 49M37 65K05 90C53 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki} and \textit{S. Rezaee}, Numer. Algorithms 78, No. 3, 911--928 (2018; Zbl 1395.49026) Full Text: DOI
Axelsson, Owe; Karátson, János; Magoulès, Fréderic Superlinear convergence using block preconditioners for the real system formulation of complex Helmholtz equations. (English) Zbl 1432.65035 J. Comput. Appl. Math. 340, 424-431 (2018). MSC: 65F08 65N22 PDF BibTeX XML Cite \textit{O. Axelsson} et al., J. Comput. Appl. Math. 340, 424--431 (2018; Zbl 1432.65035) Full Text: DOI
Zhao, Qi; Chen, Zhongwen An SQP-type method with superlinear convergence for nonlinear semidefinite programming. (English) Zbl 1395.90141 Asia-Pac. J. Oper. Res. 35, No. 3, Article ID 1850009, 25 p. (2018). MSC: 90B25 90C20 90C22 90C30 PDF BibTeX XML Cite \textit{Q. Zhao} and \textit{Z. Chen}, Asia-Pac. J. Oper. Res. 35, No. 3, Article ID 1850009, 25 p. (2018; Zbl 1395.90141) Full Text: DOI
Axelsson, O.; Karátson, J. Superlinear convergence of the GMRES for PDE-constrained optimization problems. (English) Zbl 1392.49035 Numer. Funct. Anal. Optim. 39, No. 9, 921-936 (2018). MSC: 49M25 49K20 PDF BibTeX XML Cite \textit{O. Axelsson} and \textit{J. Karátson}, Numer. Funct. Anal. Optim. 39, No. 9, 921--936 (2018; Zbl 1392.49035) Full Text: DOI
Mokhtari, Aryan; Eisen, Mark; Ribeiro, Alejandro IQN: an incremental quasi-Newton method with local superlinear convergence rate. (English) Zbl 1401.90121 SIAM J. Optim. 28, No. 2, 1670-1698 (2018). MSC: 90C06 90C25 90C30 90C52 PDF BibTeX XML Cite \textit{A. Mokhtari} et al., SIAM J. Optim. 28, No. 2, 1670--1698 (2018; Zbl 1401.90121) Full Text: DOI arXiv
Cibulka, Radek; Dontchev, Asen L.; Preininger, Jakob; Roubal, T.; Veliov, Vladimir Kantorovich-type theorems for generalized equations. (English) Zbl 1393.49021 J. Convex Anal. 25, No. 2, 459-486 (2018). Reviewer: Alfred Göpfert (Leipzig) MSC: 49M15 49J53 90C30 49J40 65J15 PDF BibTeX XML Cite \textit{R. Cibulka} et al., J. Convex Anal. 25, No. 2, 459--486 (2018; Zbl 1393.49021) Full Text: Link
Lin, Matthew M.; Chiang, Chun-Yueh An iterative method for solving the stable subspace of a matrix pencil and its application. (English) Zbl 1398.65063 Linear Multilinear Algebra 66, No. 7, 1279-1298 (2018). Reviewer: Mihail Voicu (Iaşi) MSC: 65F15 15A22 15A18 15A24 PDF BibTeX XML Cite \textit{M. M. Lin} and \textit{C.-Y. Chiang}, Linear Multilinear Algebra 66, No. 7, 1279--1298 (2018; Zbl 1398.65063) Full Text: DOI
Galli, Leonardo; Kanzow, Christian; Sciandrone, Marco A nonmonotone trust-region method for generalized Nash equilibrium and related problems with strong convergence properties. (English) Zbl 1390.90515 Comput. Optim. Appl. 69, No. 3, 629-652 (2018). MSC: 90C30 65H10 PDF BibTeX XML Cite \textit{L. Galli} et al., Comput. Optim. Appl. 69, No. 3, 629--652 (2018; Zbl 1390.90515) Full Text: DOI
Liu, Jianjun; Xu, Xiangmin; Cui, Xuehui An accelerated nonmonotone trust region method with adaptive trust region for unconstrained optimization. (English) Zbl 1393.90117 Comput. Optim. Appl. 69, No. 1, 77-97 (2018). MSC: 90C30 PDF BibTeX XML Cite \textit{J. Liu} et al., Comput. Optim. Appl. 69, No. 1, 77--97 (2018; Zbl 1393.90117) Full Text: DOI
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
Arias, Carlos Andrés; Martínez, Héctor Jairo; Pérez, Rosana A nonsmooth global quasi-Newton method for nonlinear complementarity problems. (English) Zbl 07297329 Pac. J. Optim. 13, No. 1, 1-15 (2017). MSC: 90C30 90C33 PDF BibTeX XML Cite \textit{C. A. Arias} et al., Pac. J. Optim. 13, No. 1, 1--15 (2017; Zbl 07297329) Full Text: Link
Cao, Hui-Ping; Li, Dong-Hui Adjoint Broyden methods for symmetric nonlinear equations. (English) Zbl 07297325 Pac. J. Optim. 13, No. 4, 645-663 (2017). MSC: 65H10 65K05 90C26 PDF BibTeX XML Cite \textit{H.-P. Cao} and \textit{D.-H. Li}, Pac. J. Optim. 13, No. 4, 645--663 (2017; Zbl 07297325) Full Text: Link
Santra, Shyam Sundar Necessary and sufficient conditions for oscillation of solutions of nonlinear second order differential equations. (English) Zbl 1424.34227 Rom. J. Math. Comput. Sci. 7, No. 2, 80-85 (2017). MSC: 34K11 PDF BibTeX XML Cite \textit{S. S. Santra}, Rom. J. Math. Comput. Sci. 7, No. 2, 80--85 (2017; Zbl 1424.34227)
Ferreira, Orizon P.; Jean-Alexis, Célia; Piétrus, Alain Metrically regular vector field and iterative processes for generalized equations in Hadamard manifolds. (English) Zbl 1387.90241 J. Optim. Theory Appl. 175, No. 3, 624-651 (2017). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{O. P. Ferreira} et al., J. Optim. Theory Appl. 175, No. 3, 624--651 (2017; Zbl 1387.90241) Full Text: DOI
Śmietański, Marek J. New algorithms for solving unconstrained optimization problems based on the generalized Newton method involving simple quadrature rules. (English) Zbl 1378.65132 Wituła, Roman (ed.) et al., Selected problems on experimental mathematics. Gliwice: Wydawnictwo Politechniki Śląskiej (ISBN 978-83-7880-476-5/pbk). Monografia (Gliwice) 672, 7-16 (2017). MSC: 65K10 49M15 90C30 PDF BibTeX XML Cite \textit{M. J. Śmietański}, in: Selected problems on experimental mathematics. Gliwice: Wydawnictwo Politechniki Śląskiej. 7--16 (2017; Zbl 1378.65132)
Zheng, Xiuyun; Shi, Jiarong; Yang, Wei; Yin, Qingyan Nonmonotone smoothing Broyden-like method for generalized nonlinear complementarity problems. (English) Zbl 1374.90389 J. Appl. Math. Comput. 54, No. 1-2, 277-295 (2017). MSC: 90C33 PDF BibTeX XML Cite \textit{X. Zheng} et al., J. Appl. Math. Comput. 54, No. 1--2, 277--295 (2017; Zbl 1374.90389) Full Text: DOI
Adly, Samir; Huynh Van Ngai; Nguyen Van Vu Stability of metric regularity with set-valued perturbations and application to Newton’s method for solving generalized equations. (English) Zbl 1393.49012 Set-Valued Var. Anal. 25, No. 3, 543-567 (2017). Reviewer: Alberto Seeger (Avignon) MSC: 49N60 49K40 49J53 49J40 65J15 90C30 49M15 PDF BibTeX XML Cite \textit{S. Adly} et al., Set-Valued Var. Anal. 25, No. 3, 543--567 (2017; Zbl 1393.49012) Full Text: DOI
Fernandes, Teles A.; Ferreira, Orizon P.; Yuan, Jinyun On the superlinear convergence of Newton’s method on Riemannian manifolds. (English) Zbl 1373.90149 J. Optim. Theory Appl. 173, No. 3, 828-843 (2017). MSC: 90C30 49M15 65K05 PDF BibTeX XML Cite \textit{T. A. Fernandes} et al., J. Optim. Theory Appl. 173, No. 3, 828--843 (2017; Zbl 1373.90149) Full Text: DOI
Kimiaei, Morteza A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints. (English) Zbl 1373.90151 Calcolo 54, No. 3, 769-812 (2017). MSC: 90C30 65H10 65K05 PDF BibTeX XML Cite \textit{M. Kimiaei}, Calcolo 54, No. 3, 769--812 (2017; Zbl 1373.90151) Full Text: DOI
Chiang, Chun-Yueh An accelerated technique for solving the positive definite solutions of a class of nonlinear matrix equations. (English) Zbl 1373.93147 J. Franklin Inst. 354, No. 15, 7088-7118 (2017). MSC: 93C10 93B40 15A24 PDF BibTeX XML Cite \textit{C.-Y. Chiang}, J. Franklin Inst. 354, No. 15, 7088--7118 (2017; Zbl 1373.93147) Full Text: DOI
Chi, Xiaoni; Wang, Yang; Liu, Bo A smoothing Newton algorithm for circular cone programming. (Chinese. English summary) Zbl 1389.90254 Pure Appl. Math. 33, No. 2, 111-121 (2017). MSC: 90C25 PDF BibTeX XML Cite \textit{X. Chi} et al., Pure Appl. Math. 33, No. 2, 111--121 (2017; Zbl 1389.90254) Full Text: DOI
Gong, Enlong; Duan, Lining; Gao, Miaomiao; Wang, Zhenzhen; Zhu, Mingyue; Sun, Qingying; Du, Xiaoyu Non-monotone two stages diagonal sparse variable metric gradient projection method based on modified quasi-Newton equation. (Chinese. English summary) Zbl 1389.90302 Math. Pract. Theory 47, No. 6, 233-242 (2017). MSC: 90C30 65K10 PDF BibTeX XML Cite \textit{E. Gong} et al., Math. Pract. Theory 47, No. 6, 233--242 (2017; Zbl 1389.90302)
Huang, Ming; Lu, Yue; Pang, Li Ping; Xia, Zun Quan A space decomposition scheme for maximum eigenvalue functions and its applications. (English) Zbl 1377.65064 Math. Methods Oper. Res. 85, No. 3, 453-490 (2017); correction ibid. 87, No. 2, 309 (2018). Reviewer: Hang Lau (Montréal) MSC: 65K05 52A41 65K10 90C25 90C22 49J52 65F15 PDF BibTeX XML Cite \textit{M. Huang} et al., Math. Methods Oper. Res. 85, No. 3, 453--490 (2017; Zbl 1377.65064) Full Text: DOI
Jian, Jinbao; Zeng, Hanjun; Ma, Guodong; Zhu, Zhibin Primal-dual interior point QP-free algorithm for nonlinear constrained optimization. (English) Zbl 1380.90255 J. Inequal. Appl. 2017, Paper No. 239, 25 p. (2017). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{J. Jian} et al., J. Inequal. Appl. 2017, Paper No. 239, 25 p. (2017; Zbl 1380.90255) Full Text: DOI
Li, Xiangrong; Wang, Bopeng; Hu, Wujie A modified nonmonotone BFGS algorithm for unconstrained optimization. (English) Zbl 1372.65179 J. Inequal. Appl. 2017, Paper No. 183, 18 p. (2017). MSC: 65K05 90C26 PDF BibTeX XML Cite \textit{X. Li} et al., J. Inequal. Appl. 2017, Paper No. 183, 18 p. (2017; Zbl 1372.65179) Full Text: DOI
Chou, Lot-Kei; Lei, Siu-Long Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy. (English) Zbl 1368.65165 Comput. Math. Appl. 73, No. 3, 385-403 (2017). MSC: 65M22 65M12 65M06 35R11 35K57 65T50 PDF BibTeX XML Cite \textit{L.-K. Chou} and \textit{S.-L. Lei}, Comput. Math. Appl. 73, No. 3, 385--403 (2017; Zbl 1368.65165) Full Text: DOI
Izmailov, A. F.; Uskov, E. I. Subspace-stabilized sequential quadratic programming. (English) Zbl 1375.90315 Comput. Optim. Appl. 67, No. 1, 129-154 (2017). MSC: 90C55 PDF BibTeX XML Cite \textit{A. F. Izmailov} and \textit{E. I. Uskov}, Comput. Optim. Appl. 67, No. 1, 129--154 (2017; Zbl 1375.90315) Full Text: DOI
Wang, Hua; Liu, Fuyao; Gu, Chao; Pu, Dingguo An infeasible active-set QP-free algorithm for general nonlinear programming. (English) Zbl 1386.90153 Int. J. Comput. Math. 94, No. 5, 884-901 (2017). Reviewer: Nada Djuranović-Miličić (Beograd) MSC: 90C30 49M37 65K10 PDF BibTeX XML Cite \textit{H. Wang} et al., Int. J. Comput. Math. 94, No. 5, 884--901 (2017; Zbl 1386.90153) Full Text: DOI
Śmietański, Marek J. Some quadrature-based versions of the generalized Newton method for solving unconstrained optimization problems. (English) Zbl 1368.65090 Dimov, Ivan (ed.) et al., Numerical analysis and its applications. 6th international conference, NAA 2016, Lozenetz, Bulgaria, June 15–22, 2016. Revised selected papers. Cham: Springer (ISBN 978-3-319-57098-3/pbk; 978-3-319-57099-0/ebook). Lecture Notes in Computer Science 10187, 608-616 (2017). MSC: 65K05 90C30 90C33 65K15 PDF BibTeX XML Cite \textit{M. J. Śmietański}, Lect. Notes Comput. Sci. 10187, 608--616 (2017; Zbl 1368.65090) Full Text: DOI
Gerdts, Matthias; Horn, Stefan; Kimmerle, Sven-Joachim Line search globalization of a semismooth Newton method for operator equations in Hilbert spaces with applications in optimal control. (English) Zbl 1368.49005 J. Ind. Manag. Optim. 13, No. 1, 47-62 (2017). MSC: 49J20 49J52 49M15 90C56 65K10 65N12 49K20 PDF BibTeX XML Cite \textit{M. Gerdts} et al., J. Ind. Manag. Optim. 13, No. 1, 47--62 (2017; Zbl 1368.49005) Full Text: DOI
Guo, Chuanhao; Shan, Erfang; Yan, Wenli A superlinearly convergent hybrid algorithm for solving nonlinear programming. (English) Zbl 1364.90316 J. Ind. Manag. Optim. 13, No. 2, 1009-1024 (2017). MSC: 90C30 49M37 90C55 PDF BibTeX XML Cite \textit{C. Guo} et al., J. Ind. Manag. Optim. 13, No. 2, 1009--1024 (2017; Zbl 1364.90316) Full Text: DOI
Wang, Jueyu; Zhu, Detong The Gauss-Newton methods via conjugate gradient path without line search technique for solving nonlinear systems. (English) Zbl 1379.65028 Numer. Funct. Anal. Optim. 38, No. 1, 110-137 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 PDF BibTeX XML Cite \textit{J. Wang} and \textit{D. Zhu}, Numer. Funct. Anal. Optim. 38, No. 1, 110--137 (2017; Zbl 1379.65028) 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 PDF BibTeX XML Cite \textit{H.-P. Cao} and \textit{D.-H. Li}, Comput. Optim. Appl. 66, No. 3, 481--505 (2017; Zbl 1370.90144) Full Text: DOI
Fan, Bin A nonmonotone Levenberg-Marquardt method for nonlinear complementarity problems under local error bound. (English) Zbl 1359.65093 Comput. Appl. Math. 36, No. 1, 185-202 (2017). MSC: 65K05 90C33 PDF BibTeX XML Cite \textit{B. Fan}, Comput. Appl. Math. 36, No. 1, 185--202 (2017; Zbl 1359.65093) 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 PDF BibTeX XML Cite \textit{H. Cao} and \textit{L. Yao}, Appl. Math. Comput. 290, 164--177 (2016; Zbl 1410.90247) Full Text: DOI
Wang, Lirong; Huang, Quan A variant feasible sequential quadratic programming method and its superlinear convergence. (English) Zbl 1413.90273 Adv. Model. Optim. 18, No. 1, 1-9 (2016). MSC: 90C30 90C20 PDF BibTeX XML Cite \textit{L. Wang} and \textit{Q. Huang}, Adv. Model. Optim. 18, No. 1, 1--9 (2016; Zbl 1413.90273) Full Text: Link
Fan, Jinyan; Pan, Jianyu; Song, Hongyan A retrospective trust region algorithm with trust region converging to zero. (English) Zbl 1374.65098 J. Comput. Math. 34, No. 4, 421-436 (2016). MSC: 65K05 90C26 90C30 90C51 PDF BibTeX XML Cite \textit{J. Fan} et al., J. Comput. Math. 34, No. 4, 421--436 (2016; Zbl 1374.65098) Full Text: DOI
Benahmed, Boubakeur; Nachi, Khadra; Yassine, Adnan Non-smooth singular Newton’s method for positive semidefinite solution of nonlinear matrix equations. (English) Zbl 1362.65055 Int. J. Oper. Res. 27, No. 1-2, 303-315 (2016). MSC: 65H10 15A24 PDF BibTeX XML Cite \textit{B. Benahmed} et al., Int. J. Oper. Res. 27, No. 1--2, 303--315 (2016; Zbl 1362.65055) Full Text: DOI
Pietrus, Alain Extension of Newton-Kantorovich theorem for subanalytic equations. (English) Zbl 1374.65095 An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 62, No. 1, 67-76 (2016). MSC: 65J15 47J25 PDF BibTeX XML Cite \textit{A. Pietrus}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Ser. Nouă, Mat. 62, No. 1, 67--76 (2016; Zbl 1374.65095)
Cao, Huiping A new quasi-Newton method based on adjoint Broyden updates for symmetric nonlinear equations. (English) Zbl 1355.65070 J. Korean Math. Soc. 53, No. 6, 1371-1389 (2016). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 65K05 90C53 PDF BibTeX XML Cite \textit{H. Cao}, J. Korean Math. Soc. 53, No. 6, 1371--1389 (2016; Zbl 1355.65070) Full Text: DOI
Molica Bisci, Giovanni; Repovš, Dušan; Servadei, Raffaella Nontrivial solutions of superlinear nonlocal problems. (English) Zbl 1351.49015 Forum Math. 28, No. 6, 1095-1110 (2016). MSC: 49J45 35A15 35R11 35R09 35S15 47G20 47G30 45G05 PDF BibTeX XML Cite \textit{G. Molica Bisci} et al., Forum Math. 28, No. 6, 1095--1110 (2016; Zbl 1351.49015) Full Text: DOI arXiv
Zhu, Xide; Lin, Gui-Hua Improved convergence results for a modified Levenberg-Marquardt method for nonlinear equations and applications in MPCC. (English) Zbl 1386.90154 Optim. Methods Softw. 31, No. 4, 791-804 (2016). MSC: 90C30 90C33 90C46 PDF BibTeX XML Cite \textit{X. Zhu} and \textit{G.-H. Lin}, Optim. Methods Softw. 31, No. 4, 791--804 (2016; Zbl 1386.90154) Full Text: DOI
Ma, Changfeng; Chen, Baoguo; Pan, Shaojun A modified feasible semi-smooth asymptotically Newton method for nonlinear complementarity problems. (English) Zbl 1346.90781 J. Inequal. Appl. 2016, Paper No. 230, 13 p. (2016). MSC: 90C33 PDF BibTeX XML Cite \textit{C. Ma} et al., J. Inequal. Appl. 2016, Paper No. 230, 13 p. (2016; Zbl 1346.90781) Full Text: DOI
Dareiotis, Konstantinos; Kumar, Chaman; Sabanis, Sotirios On tamed Euler approximations of SDEs driven by Lévy noise with applications to delay equations. (English) Zbl 1401.65014 SIAM J. Numer. Anal. 54, No. 3, 1840-1872 (2016). MSC: 65C30 60H10 60H35 PDF BibTeX XML Cite \textit{K. Dareiotis} et al., SIAM J. Numer. Anal. 54, No. 3, 1840--1872 (2016; Zbl 1401.65014) Full Text: DOI arXiv
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I. Globalizing stabilized sequential quadratic programming method by smooth primal-dual exact penalty function. (English) Zbl 1360.65167 J. Optim. Theory Appl. 169, No. 1, 148-178 (2016). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 65K05 90C20 90C55 PDF BibTeX XML Cite \textit{A. F. Izmailov} et al., J. Optim. Theory Appl. 169, No. 1, 148--178 (2016; Zbl 1360.65167) Full Text: DOI
Nesterov, Yu.; Tunçel, L. Local superlinear convergence of polynomial-time interior-point methods for hyperbolicity cone optimization problems. (English) Zbl 1329.90168 SIAM J. Optim. 26, No. 1, 139-170 (2016). MSC: 90C51 52A41 90C22 90C25 PDF BibTeX XML Cite \textit{Yu. Nesterov} and \textit{L. Tunçel}, SIAM J. Optim. 26, No. 1, 139--170 (2016; Zbl 1329.90168) Full Text: DOI
Li, Jianling; Huang, Renshuai; Jian, Jinbao A superlinearly convergent QP-free algorithm for mathematical programs with equilibrium constraints. (English) Zbl 1410.90216 Appl. Math. Comput. 269, 885-903 (2015). MSC: 90C33 65K05 90C30 PDF BibTeX XML Cite \textit{J. Li} et al., Appl. Math. Comput. 269, 885--903 (2015; Zbl 1410.90216) Full Text: DOI
Jian, Jin-Bao; Pan, Hua-Qin; Tang, Chun-Ming; Li, Jian-Ling A strongly sub-feasible primal-dual quasi interior-point algorithm for nonlinear inequality constrained optimization. (English) Zbl 1410.90201 Appl. Math. Comput. 266, 560-578 (2015). MSC: 90C30 90C51 65K05 PDF BibTeX XML Cite \textit{J.-B. Jian} et al., Appl. Math. Comput. 266, 560--578 (2015; Zbl 1410.90201) Full Text: DOI
Luo, Zhibo; Luo, Zhijun; Deng, Lifang A modified sequential quadratic programming method for nonlinear programming. (English) Zbl 1413.90266 Adv. Model. Optim. 17, No. 2, 349-356 (2015). MSC: 90C30 90C20 PDF BibTeX XML Cite \textit{Z. Luo} et al., Adv. Model. Optim. 17, No. 2, 349--356 (2015; Zbl 1413.90266) Full Text: Link
Luo, Zhijun; Wang, Lirong An improved gradient projection method for constrained optimization problems. (English) Zbl 1413.90267 Adv. Model. Optim. 17, No. 2, 335-348 (2015). MSC: 90C30 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{L. Wang}, Adv. Model. Optim. 17, No. 2, 335--348 (2015; Zbl 1413.90267) Full Text: Link
Fan, Zhencheng Using waveform relaxation methods to approximate neutral stochastic functional differential equation systems. (English) Zbl 1410.65008 Appl. Math. Comput. 263, 151-164 (2015). MSC: 65C30 34K40 34K50 60H35 PDF BibTeX XML Cite \textit{Z. Fan}, Appl. Math. Comput. 263, 151--164 (2015; Zbl 1410.65008) Full Text: DOI
Li, Jianling; Lv, Jian; Jian, Jinbao A globally and superlinearly convergent primal-dual interior point method for general constrained optimization. (English) Zbl 1349.90840 Numer. Math., Theory Methods Appl. 8, No. 3, 313-335 (2015). MSC: 90C51 90C30 65K10 PDF BibTeX XML Cite \textit{J. Li} et al., Numer. Math., Theory Methods Appl. 8, No. 3, 313--335 (2015; Zbl 1349.90840) Full Text: DOI
Mohammad, Hassan; Waziri, Mohammed Yusuf On Broyden-like update via some quadratures for solving nonlinear systems of equations. (English) Zbl 1339.65069 Turk. J. Math. 39, No. 3, 335-345 (2015). MSC: 65H10 65K05 90C53 41A25 65D32 34G20 PDF BibTeX XML Cite \textit{H. Mohammad} and \textit{M. Y. Waziri}, Turk. J. Math. 39, No. 3, 335--345 (2015; Zbl 1339.65069) Full Text: DOI Link
Qi, Liyan; Xiao, Xiantao; Zhang, Liwei Convergence analysis of LM method for semismooth equations. (Chinese. English summary) Zbl 1340.65093 J. Dalian Univ. Technol. 55, No. 5, 548-552 (2015). MSC: 65H05 PDF BibTeX XML Cite \textit{L. Qi} et al., J. Dalian Univ. Technol. 55, No. 5, 548--552 (2015; Zbl 1340.65093) Full Text: DOI
Wang, Wei; Zhang, Lingling; Li, Shanghua A UV-decomposition method for a class of maximum eigenvalue optimizations. (Chinese. English summary) Zbl 1340.90189 J. Shenyang Norm. Univ., Nat. Sci. 33, No. 2, 173-176 (2015). MSC: 90C25 65K10 15A18 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Shenyang Norm. Univ., Nat. Sci. 33, No. 2, 173--176 (2015; Zbl 1340.90189) Full Text: DOI
Dai, Yu-Hong; Al-Baali, Mehiddin; Yang, Xiaoqi A positive Barzilai-Borwein-like stepsize and an extension for symmetric linear systems. (English) Zbl 1330.65084 Al-Baali, Mehiddin (ed.) et al., Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5–9, 2014. Cham: Springer (ISBN 978-3-319-17688-8/hbk; 978-3-319-17689-5/ebook). Springer Proceedings in Mathematics & Statistics 134, 59-75 (2015). MSC: 65K05 90C20 PDF BibTeX XML Cite \textit{Y.-H. Dai} et al., in: Numerical analysis and optimization. Selected papers based on the presentations at the 3rd international conference, NAO-III, Muscat, Oman, January 5--9, 2014. Cham: Springer. 59--75 (2015; Zbl 1330.65084) Full Text: DOI
Zeng, Youfang; Tang, Chunming A non-interior-point continuous algorithm with superlinear convergence for second-order cone programming. (Chinese. English summary) Zbl 1340.90190 Oper. Res. Trans. 19, No. 1, 18-30 (2015). MSC: 90C25 90C30 65K05 PDF BibTeX XML Cite \textit{Y. Zeng} and \textit{C. Tang}, Oper. Res. Trans. 19, No. 1, 18--30 (2015; Zbl 1340.90190)
Chen, Fenghua; Li, Shuang’an A new QP-free algorithm for mathematical programs with nonlinear complementarity constraints. (Chinese. English summary) Zbl 1340.90241 J. Math., Wuhan Univ. 35, No. 2, 429-442 (2015). MSC: 90C33 65K05 90C30 PDF BibTeX XML Cite \textit{F. Chen} and \textit{S. Li}, J. Math., Wuhan Univ. 35, No. 2, 429--442 (2015; Zbl 1340.90241)
Janka, Dennis Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. (English) Zbl 1326.65076 Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.). 222 p. (2015). MSC: 65K10 49J15 49M37 65L80 62K05 62F10 90C30 90C35 PDF BibTeX XML Cite \textit{D. Janka}, Sequential quadratic programming with indefinite Hessian approximations for nonlinear optimum experimental design for parameter estimation in differential-algebraic equations. Heidelberg: Univ. Heidelberg, Naturwissenschaftlich-Mathematische Gesamtfakultät (Diss.) (2015; Zbl 1326.65076) Full Text: Link
Izmailov, A. F.; Solodov, M. V.; Uskov, E. I. Combining stabilized SQP with the augmented Lagrangian algorithm. (English) Zbl 1353.90144 Comput. Optim. Appl. 62, No. 2, 405-429 (2015). MSC: 90C30 90C55 PDF BibTeX XML Cite \textit{A. F. Izmailov} et al., Comput. Optim. Appl. 62, No. 2, 405--429 (2015; Zbl 1353.90144) Full Text: DOI
Naito, Yūki Global attractivity and convergence rate in the weighted norm for a supercritical semilinear heat equation. (English) Zbl 1363.35215 Differ. Integral Equ. 28, No. 7-8, 777-800 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K91 35B35 35B40 35B41 35K15 PDF BibTeX XML Cite \textit{Y. Naito}, Differ. Integral Equ. 28, No. 7--8, 777--800 (2015; Zbl 1363.35215)
Facchinei, Francisco; Kanzow, Christian; Karl, Sebastian; Sagratella, Simone The semismooth Newton method for the solution of quasi-variational inequalities. (English) Zbl 1331.90083 Comput. Optim. Appl. 62, No. 1, 85-109 (2015). MSC: 90C33 90C53 65K10 90C30 PDF BibTeX XML Cite \textit{F. Facchinei} et al., Comput. Optim. Appl. 62, No. 1, 85--109 (2015; Zbl 1331.90083) Full Text: DOI
Rashid, M. H. A convergence analysis of Gauss-Newton-type method for Hölder continuous maps. (English) Zbl 1335.49045 Indian J. Math. 57, No. 2, 181-198 (2015). MSC: 49M15 49J53 47H04 65K10 PDF BibTeX XML Cite \textit{M. H. Rashid}, Indian J. Math. 57, No. 2, 181--198 (2015; Zbl 1335.49045)
Izmailov, A. F.; Kurennoy, A. S.; Solodov, M. V. Some composite-step constrained optimization methods interpreted via the perturbed sequential quadratic programming framework. (English) Zbl 1327.90313 Optim. Methods Softw. 30, No. 3, 461-477 (2015). MSC: 90C30 90C33 65K05 PDF BibTeX XML Cite \textit{A. F. Izmailov} et al., Optim. Methods Softw. 30, No. 3, 461--477 (2015; Zbl 1327.90313) Full Text: DOI
Zeng, Meilan; Ni, Qin Quasi-Newton method for computing \(Z\)-eigenpairs of a symmetric tensor. (English) Zbl 1325.65056 Pac. J. Optim. 11, No. 2, 279-290 (2015). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 15A18 65H10 90C53 15A69 65K05 PDF BibTeX XML Cite \textit{M. Zeng} and \textit{Q. Ni}, Pac. J. Optim. 11, No. 2, 279--290 (2015; Zbl 1325.65056) Full Text: Link
Fan, Bin A smoothing Broyden-like method with a nonmonotone derivative-free line search for nonlinear complementarity problems. (English) Zbl 1327.90335 J. Comput. Appl. Math. 290, 641-655 (2015). MSC: 90C33 65K05 PDF BibTeX XML Cite \textit{B. Fan}, J. Comput. Appl. Math. 290, 641--655 (2015; Zbl 1327.90335) Full Text: DOI
Sowmya, M.; Vatsala, A. S. Generalized iterative methods for Caputo fractional differential equations via coupled lower and upper solutions with superlinear convergence. (English) Zbl 1327.34009 Nonlinear Dyn. Syst. Theory 15, No. 2, 198-208 (2015). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 34A08 34A12 34A45 PDF BibTeX XML Cite \textit{M. Sowmya} and \textit{A. S. Vatsala}, Nonlinear Dyn. Syst. Theory 15, No. 2, 198--208 (2015; Zbl 1327.34009)
Almeida, R.; Teixeira, A. On the convergence of a predictor-corrector variant algorithm. (English) Zbl 1327.90388 Top 23, No. 2, 401-418 (2015). MSC: 90C51 90C05 PDF BibTeX XML Cite \textit{R. Almeida} and \textit{A. Teixeira}, Top 23, No. 2, 401--418 (2015; Zbl 1327.90388) Full Text: DOI
Jin, Ping; Ling, Chen; Shen, Huifei A smoothing Levenberg-Marquardt algorithm for semi-infinite programming. (English) Zbl 1318.49062 Comput. Optim. Appl. 60, No. 3, 675-695 (2015). MSC: 49M37 90C34 49M15 90C30 90C46 65K05 65K15 PDF BibTeX XML Cite \textit{P. Jin} et al., Comput. Optim. Appl. 60, No. 3, 675--695 (2015; Zbl 1318.49062) Full Text: DOI