Arahata, Shun; Okuno, Takayuki; Takeda, Akiko Complexity analysis of interior-point methods for second-order stationary points of nonlinear semidefinite optimization problems. (English) Zbl 1522.90073 Comput. Optim. Appl. 86, No. 2, 555-598 (2023). MSC: 90C22 90C26 90C51 PDFBibTeX XMLCite \textit{S. Arahata} et al., Comput. Optim. Appl. 86, No. 2, 555--598 (2023; Zbl 1522.90073) Full Text: DOI arXiv
Consolini, Luca; Locatelli, Marco Sharp and fast bounds for the Celis-Dennis-Tapia problem. (English) Zbl 1519.90146 SIAM J. Optim. 33, No. 2, 868-898 (2023). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{L. Consolini} and \textit{M. Locatelli}, SIAM J. Optim. 33, No. 2, 868--898 (2023; Zbl 1519.90146) Full Text: DOI arXiv
Butakov, Ivan D.; Terekhov, Kirill M. Two methods for the implicit integration of stiff reaction systems. (English) Zbl 1512.65118 Comput. Methods Appl. Math. 23, No. 1, 83-92 (2023). MSC: 65L04 90C53 PDFBibTeX XMLCite \textit{I. D. Butakov} and \textit{K. M. Terekhov}, Comput. Methods Appl. Math. 23, No. 1, 83--92 (2023; Zbl 1512.65118) Full Text: DOI
Song, Mengmeng; Liu, Hongying; Wang, Jiulin; Xia, Yong On local minimizers of nonconvex homogeneous quadratically constrained quadratic optimization with at most two constraints. (English) Zbl 1527.90179 SIAM J. Optim. 33, No. 1, 267-293 (2023). MSC: 90C26 90C20 90C46 90C32 PDFBibTeX XMLCite \textit{M. Song} et al., SIAM J. Optim. 33, No. 1, 267--293 (2023; Zbl 1527.90179) Full Text: DOI
Tang, Yaozong; Luo, Gang; Yang, Qingzhi An efficient PGM-based algorithm with backtracking strategy for solving quadratic optimization problems with spherical constraint. (English) Zbl 1499.65232 J. Comput. Appl. Math. 422, Article ID 114915, 13 p. (2023). MSC: 65K05 90C20 90C30 PDFBibTeX XMLCite \textit{Y. Tang} et al., J. Comput. Appl. Math. 422, Article ID 114915, 13 p. (2023; Zbl 1499.65232) Full Text: DOI
Wang, Jiulin; Song, Mengmeng; Xia, Yong On local nonglobal minimum of trust-region subproblem and extension. (English) Zbl 1506.90199 J. Optim. Theory Appl. 195, No. 2, 707-722 (2022). MSC: 90C20 90C26 90C30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Optim. Theory Appl. 195, No. 2, 707--722 (2022; Zbl 1506.90199) Full Text: DOI
Tyagi, Hemant Error analysis for denoising smooth modulo signals on a graph. (English) Zbl 07472534 Appl. Comput. Harmon. Anal. 57, 151-184 (2022). MSC: 68-XX 94-XX PDFBibTeX XMLCite \textit{H. Tyagi}, Appl. Comput. Harmon. Anal. 57, 151--184 (2022; Zbl 07472534) Full Text: DOI arXiv
Hyde, David A. B.; Bao, Michael; Fedkiw, Ronald On obtaining sparse semantic solutions for inverse problems, control, and neural network training. (English) Zbl 07515412 J. Comput. Phys. 443, Article ID 110498, 29 p. (2021). MSC: 90Cxx 68Txx 65Kxx PDFBibTeX XMLCite \textit{D. A. B. Hyde} et al., J. Comput. Phys. 443, Article ID 110498, 29 p. (2021; Zbl 07515412) Full Text: DOI
Subaşı, Murat; Şendur, Faika Derya; Yaşar, Cavide An inverse source identification by nonlinear optimization in a two-dimensional hyperbolic problem. (English) Zbl 07480126 Inverse Probl. Sci. Eng. 29, No. 12, 2110-2130 (2021). MSC: 34M50 35L50 65M60 65K10 PDFBibTeX XMLCite \textit{M. Subaşı} et al., Inverse Probl. Sci. Eng. 29, No. 12, 2110--2130 (2021; Zbl 07480126) Full Text: DOI
Zhu, Honglan; Ni, Qin; Jiang, Jianlin; Dang, Chuangyin A new alternating direction trust region method based on conic model for solving unconstrained optimization. (English) Zbl 07383636 Optimization 70, No. 7, 1555-1579 (2021). MSC: 65Kxx 90Cxx PDFBibTeX XMLCite \textit{H. Zhu} et al., Optimization 70, No. 7, 1555--1579 (2021; Zbl 07383636) Full Text: DOI arXiv
Li, Xiaobo; Wang, Xianfu; Krishan Lal, Manish A nonmonotone trust region method for unconstrained optimization problems on Riemannian manifolds. (English) Zbl 1471.65053 J. Optim. Theory Appl. 188, No. 2, 547-570 (2021). MSC: 65K05 65K10 90C48 49J40 PDFBibTeX XMLCite \textit{X. Li} et al., J. Optim. Theory Appl. 188, No. 2, 547--570 (2021; Zbl 1471.65053) Full Text: DOI
Costa, Carina Moreira; Grapiglia, Geovani Nunes A subspace version of the Wang-Yuan augmented Lagrangian-trust region method for equality constrained optimization. (English) Zbl 1472.90127 Appl. Math. Comput. 387, Article ID 124861, 13 p. (2020). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{C. M. Costa} and \textit{G. N. Grapiglia}, Appl. Math. Comput. 387, Article ID 124861, 13 p. (2020; Zbl 1472.90127) Full Text: DOI
Zhang, Lei-Hong; Yang, Wei Hong; Shen, Chungen; Ying, Jiaqi An eigenvalue-based method for the unbalanced Procrustes problem. (English) Zbl 1461.65051 SIAM J. Matrix Anal. Appl. 41, No. 3, 957-983 (2020). MSC: 65F15 65H17 90C30 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 41, No. 3, 957--983 (2020; Zbl 1461.65051) Full Text: DOI
Xu, Peng; Roosta, Fred; Mahoney, Michael W. Newton-type methods for non-convex optimization under inexact Hessian information. (English) Zbl 1451.90134 Math. Program. 184, No. 1-2 (A), 35-70 (2020). MSC: 90C26 90C53 65K05 90C06 PDFBibTeX XMLCite \textit{P. Xu} et al., Math. Program. 184, No. 1--2 (A), 35--70 (2020; Zbl 1451.90134) Full Text: DOI arXiv
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust nonlinear optimization. (English) Zbl 1448.90068 SIAM J. Optim. 30, No. 3, 1996-2025 (2020). MSC: 90C17 90C26 90C46 90C59 49M37 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Optim. 30, No. 3, 1996--2025 (2020; Zbl 1448.90068) Full Text: DOI
Wang, Jiulin; Xia, Yong Closing the gap between necessary and sufficient conditions for local nonglobal minimizer of trust region subproblem. (English) Zbl 1491.90115 SIAM J. Optim. 30, No. 3, 1980-1995 (2020). MSC: 90C20 90C26 90C30 90C46 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Y. Xia}, SIAM J. Optim. 30, No. 3, 1980--1995 (2020; Zbl 1491.90115) Full Text: DOI
Gao, Guohua; Jiang, Hao; Vink, Jeroen C.; van Hagen, Paul P. H.; Wells, Terence J. Performance enhancement of Gauss-Newton trust-region solver for distributed Gauss-Newton optimization method. (English) Zbl 1434.90211 Comput. Geosci. 24, No. 2, 837-852 (2020). MSC: 90C39 90C20 86A22 90C55 PDFBibTeX XMLCite \textit{G. Gao} et al., Comput. Geosci. 24, No. 2, 837--852 (2020; Zbl 1434.90211) Full Text: DOI
Gratton, S.; Royer, C. W.; Vicente, L. N. A decoupled first/second-order steps technique for nonconvex nonlinear unconstrained optimization with improved complexity bounds. (English) Zbl 1437.90130 Math. Program. 179, No. 1-2 (A), 195-222 (2020). MSC: 90C26 90C56 65K05 PDFBibTeX XMLCite \textit{S. Gratton} et al., Math. Program. 179, No. 1--2 (A), 195--222 (2020; Zbl 1437.90130) Full Text: DOI Link
Haeser, Gabriel; Liu, Hongcheng; Ye, Yinyu Optimality condition and complexity analysis for linearly-constrained optimization without differentiability on the boundary. (English) Zbl 1423.90248 Math. Program. 178, No. 1-2 (A), 263-299 (2019). MSC: 90C30 90C51 90C60 68Q25 PDFBibTeX XMLCite \textit{G. Haeser} et al., Math. Program. 178, No. 1--2 (A), 263--299 (2019; Zbl 1423.90248) Full Text: DOI arXiv
Sepulveda Salcedo, Lilian Sofia; De Lara, Michel Robust viability analysis of a controlled epidemiological model. (English) Zbl 1412.92299 Theor. Popul. Biol. 126, 51-58 (2019). MSC: 92D30 PDFBibTeX XMLCite \textit{L. S. Sepulveda Salcedo} and \textit{M. De Lara}, Theor. Popul. Biol. 126, 51--58 (2019; Zbl 1412.92299) Full Text: DOI arXiv
Li, Dan; Zhu, Detong An affine scaling interior trust-region method combining with nonmonotone line search filter technique for linear inequality constrained minimization. (English) Zbl 1499.90220 Int. J. Comput. Math. 95, No. 8, 1494-1526 (2018). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{D. Li} and \textit{D. Zhu}, Int. J. Comput. Math. 95, No. 8, 1494--1526 (2018; Zbl 1499.90220) Full Text: DOI
Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty. (English) Zbl 1507.49020 Optim. Eng. 19, No. 3, 697-731 (2018). MSC: 49K20 35Q74 49K35 74P20 PDFBibTeX XMLCite \textit{P. Kolvenbach} et al., Optim. Eng. 19, No. 3, 697--731 (2018; Zbl 1507.49020) Full Text: DOI
Rossell, David; Rubio, Francisco J. Tractable Bayesian variable selection: beyond normality. (English) Zbl 1409.62136 J. Am. Stat. Assoc. 113, No. 524, 1742-1758 (2018). MSC: 62J05 62C10 62F12 62F35 PDFBibTeX XMLCite \textit{D. Rossell} and \textit{F. J. Rubio}, J. Am. Stat. Assoc. 113, No. 524, 1742--1758 (2018; Zbl 1409.62136) Full Text: DOI arXiv Link
Zhu, Honglan; Ni, Qin A simple alternating direction method for the conic trust region subproblem. (English) Zbl 1427.90296 Math. Probl. Eng. 2018, Article ID 5358191, 9 p. (2018). MSC: 90C55 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{Q. Ni}, Math. Probl. Eng. 2018, Article ID 5358191, 9 p. (2018; Zbl 1427.90296) Full Text: DOI
Salhov, Moshe; Bermanis, Amit; Wolf, Guy; Averbuch, Amir Diffusion representations. (English) Zbl 1391.68096 Appl. Comput. Harmon. Anal. 45, No. 2, 324-340 (2018). MSC: 68T05 62H25 PDFBibTeX XMLCite \textit{M. Salhov} et al., Appl. Comput. Harmon. Anal. 45, No. 2, 324--340 (2018; Zbl 1391.68096) Full Text: DOI arXiv
Beck, Amir; Vaisbourd, Yakov Globally solving the trust region subproblem using simple first-order methods. (English) Zbl 1455.90104 SIAM J. Optim. 28, No. 3, 1951-1967 (2018). Reviewer: Nicolae Popovici (Cluj-Napoca) MSC: 90C06 90C26 90C46 PDFBibTeX XMLCite \textit{A. Beck} and \textit{Y. Vaisbourd}, SIAM J. Optim. 28, No. 3, 1951--1967 (2018; Zbl 1455.90104) Full Text: DOI
Barrios, Edwin; Lee, Sunmi; Vasilieva, Olga Assessing the effects of daily commuting in two-patch dengue dynamics: a case study of Cali, Colombia. (English) Zbl 1400.92464 J. Theor. Biol. 453, 14-39 (2018). MSC: 92D30 PDFBibTeX XMLCite \textit{E. Barrios} et al., J. Theor. Biol. 453, 14--39 (2018; Zbl 1400.92464) Full Text: DOI
Zhang, Lei-Hong; Shen, Chungen; Yang, Wei Hong; Júdice, Joaquim J. A Lanczos method for large-scale extreme Lorentz eigenvalue problems. (English) Zbl 1390.90543 SIAM J. Matrix Anal. Appl. 39, No. 2, 611-631 (2018). MSC: 90C33 47J20 15A18 90C06 65F15 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 39, No. 2, 611--631 (2018; Zbl 1390.90543) Full Text: DOI
Alkilayh, Maged; Reichel, Lothar; Yuan, Jin Yun New zero-finders for trust-region computations. (English) Zbl 1394.65040 Numer. Algorithms 76, No. 2, 361-375 (2017). Reviewer: Ctirad Matonoha (Prague) MSC: 65K10 49M15 49M37 PDFBibTeX XMLCite \textit{M. Alkilayh} et al., Numer. Algorithms 76, No. 2, 361--375 (2017; Zbl 1394.65040) Full Text: DOI
Beck, Amir; Pan, Dror A branch and bound algorithm for nonconvex quadratic optimization with ball and linear constraints. (English) Zbl 1382.90082 J. Glob. Optim. 69, No. 2, 309-342 (2017). MSC: 90C26 90C20 90C57 PDFBibTeX XMLCite \textit{A. Beck} and \textit{D. Pan}, J. Glob. Optim. 69, No. 2, 309--342 (2017; Zbl 1382.90082) Full Text: DOI
Zhang, Lei-Hong; Shen, Chungen; Li, Ren-Cang On the generalized Lanczos trust-region method. (English) Zbl 1380.90210 SIAM J. Optim. 27, No. 3, 2110-2142 (2017). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Optim. 27, No. 3, 2110--2142 (2017; Zbl 1380.90210) Full Text: DOI
Bergström, Per; Edlund, Ove Robust registration of surfaces using a refined iterative closest point algorithm with a trust region approach. (English) Zbl 1361.65038 Numer. Algorithms 74, No. 3, 755-779 (2017). Reviewer: Hang Lau (Montréal) MSC: 65K05 65D18 90C51 90C30 PDFBibTeX XMLCite \textit{P. Bergström} and \textit{O. Edlund}, Numer. Algorithms 74, No. 3, 755--779 (2017; Zbl 1361.65038) Full Text: DOI
Zhu, Honglan; Ni, Qin; Zhang, Liwei; Yang, Weiwei A fractional trust region method for linear equality constrained optimization. (English) Zbl 1417.90152 Discrete Dyn. Nat. Soc. 2016, Article ID 8676709, 10 p. (2016). MSC: 90C53 65K05 PDFBibTeX XMLCite \textit{H. Zhu} et al., Discrete Dyn. Nat. Soc. 2016, Article ID 8676709, 10 p. (2016; Zbl 1417.90152) Full Text: DOI
Sepulveda, Lilian S.; Vasilieva, Olga Optimal control approach to dengue reduction and prevention in Cali, Colombia. (English) Zbl 1353.92100 Math. Methods Appl. Sci. 39, No. 18, 5475-5496 (2016). MSC: 92D30 49M05 49N90 PDFBibTeX XMLCite \textit{L. S. Sepulveda} and \textit{O. Vasilieva}, Math. Methods Appl. Sci. 39, No. 18, 5475--5496 (2016; Zbl 1353.92100) Full Text: DOI
De Lara, Michel; Salcedo, Lilian Sofia Sepulveda Viable control of an epidemiological model. (English) Zbl 1359.92104 Math. Biosci. 280, 24-37 (2016). MSC: 92D30 PDFBibTeX XMLCite \textit{M. De Lara} and \textit{L. S. S. Salcedo}, Math. Biosci. 280, 24--37 (2016; Zbl 1359.92104) Full Text: DOI arXiv
Kaltenbacher, Barbara; Rendl, Franz; Resmerita, Elena Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems. (English) Zbl 1350.65060 J. Inverse Ill-Posed Probl. 24, No. 4, 435-447 (2016). MSC: 65K05 90C26 65J15 65J22 PDFBibTeX XMLCite \textit{B. Kaltenbacher} et al., J. Inverse Ill-Posed Probl. 24, No. 4, 435--447 (2016; Zbl 1350.65060) Full Text: DOI arXiv
Shtern, Shimrit; Ben-Tal, Aharon Computational methods for solving nonconvex block-separable constrained quadratic problems. (English) Zbl 1338.90293 SIAM J. Optim. 26, No. 2, 1174-1206 (2016). MSC: 90C20 90C26 90C22 90C59 PDFBibTeX XMLCite \textit{S. Shtern} and \textit{A. Ben-Tal}, SIAM J. Optim. 26, No. 2, 1174--1206 (2016; Zbl 1338.90293) Full Text: DOI
Amstutz, Samuel; Ciligot-Travain, Marc A notion of compliance robustness in topology optimization. (English) Zbl 1335.49069 ESAIM, Control Optim. Calc. Var. 22, No. 1, 64-87 (2016). MSC: 49Q10 49M29 74P05 74P10 74P15 90C20 PDFBibTeX XMLCite \textit{S. Amstutz} and \textit{M. Ciligot-Travain}, ESAIM, Control Optim. Calc. Var. 22, No. 1, 64--87 (2016; Zbl 1335.49069) Full Text: DOI Link
Potschka, Andreas Backward step control for global Newton-type methods. (English) Zbl 1382.65145 SIAM J. Numer. Anal. 54, No. 1, 361-387 (2016). MSC: 65H10 65H20 58C15 90C53 PDFBibTeX XMLCite \textit{A. Potschka}, SIAM J. Numer. Anal. 54, No. 1, 361--387 (2016; Zbl 1382.65145) Full Text: DOI Link
Ahookhosh, Masoud; Ghaderi, Susan Two globally convergent nonmonotone trust-region methods for unconstrained optimization. (English) Zbl 1330.90102 J. Appl. Math. Comput. 50, No. 1-2, 529-555 (2016). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{M. Ahookhosh} and \textit{S. Ghaderi}, J. Appl. Math. Comput. 50, No. 1--2, 529--555 (2016; Zbl 1330.90102) Full Text: DOI arXiv
Kim, Minyoung Cost-sensitive estimation of ARMA models for financial asset return data. (English) Zbl 1395.91513 Math. Probl. Eng. 2015, Article ID 232184, 8 p. (2015). MSC: 91G70 91B84 62M10 PDFBibTeX XMLCite \textit{M. Kim}, Math. Probl. Eng. 2015, Article ID 232184, 8 p. (2015; Zbl 1395.91513) Full Text: DOI
Zhai, Zhichun; Wiens, Douglas P. Robust model-based stratification sampling designs. (English. French summary) Zbl 1359.62323 Can. J. Stat. 43, No. 4, 554-577 (2015). MSC: 62K05 62G35 62D05 PDFBibTeX XMLCite \textit{Z. Zhai} and \textit{D. P. Wiens}, Can. J. Stat. 43, No. 4, 554--577 (2015; Zbl 1359.62323) Full Text: DOI
Kaganovsky, Yan; Han, Shaobo; Degirmenci, Soysal; Politte, David G.; Brady, David J.; O’Sullivan, Joseph A.; Carin, Lawrence Alternating minimization algorithm with automatic relevance determination for transmission tomography under Poisson noise. (English) Zbl 1330.94009 SIAM J. Imaging Sci. 8, No. 3, 2087-2132 (2015). MSC: 94A08 65F22 65K10 65J22 90C25 90C26 90C30 PDFBibTeX XMLCite \textit{Y. Kaganovsky} et al., SIAM J. Imaging Sci. 8, No. 3, 2087--2132 (2015; Zbl 1330.94009) Full Text: DOI arXiv
Chen, Yi; Gao, David Yang Canonical dual approach for minimizing a nonconvex quadratic function over a sphere. (English) Zbl 1327.90164 Gao, David (ed.) et al., Advances in global optimization. Selected papers based on the presentations at the 3rd world congress on global optimization in engineering and science, WCGO, Anhui, China, July 8–12, 2013. Cham: Springer (ISBN 978-3-319-08376-6/hbk; 978-3-319-08377-3/ebook). Springer Proceedings in Mathematics & Statistics 95, 149-156 (2015). MSC: 90C20 90C26 90C46 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{D. Y. Gao}, Springer Proc. Math. Stat. 95, 149--156 (2015; Zbl 1327.90164) Full Text: DOI
Zhu, Honglan; Ni, Qin; Zeng, Meilan A quasi-Newton trust region method based on a new fractional model. (English) Zbl 1321.49045 Numer. Algebra Control Optim. 5, No. 3, 237-249 (2015). MSC: 49M15 49M37 49K10 90C30 PDFBibTeX XMLCite \textit{H. Zhu} et al., Numer. Algebra Control Optim. 5, No. 3, 237--249 (2015; Zbl 1321.49045) Full Text: DOI
Yuan, Ya-xiang Recent advances in trust region algorithms. (English) Zbl 1317.65141 Math. Program. 151, No. 1 (B), 249-281 (2015). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y.-x. Yuan}, Math. Program. 151, No. 1 (B), 249--281 (2015; Zbl 1317.65141) Full Text: DOI
Chen, Zhangyou; Yang, Xiaoqi On global quadratic growth condition for min-max optimization problems with quadratic functions. (English) Zbl 1315.90061 Appl. Anal. 94, No. 1, 144-152 (2015). MSC: 90C47 90C46 90C30 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{X. Yang}, Appl. Anal. 94, No. 1, 144--152 (2015; Zbl 1315.90061) Full Text: DOI
Erway, Jennifer B.; Marcia, Roummel F. Algorithm 943: MSS: MATLAB software for L-BFGS trust-region subproblems for large-scale optimization. (English) Zbl 1371.65050 ACM Trans. Math. Softw. 40, No. 4, Article No. 28, 12 p. (2014). MSC: 65K05 90C06 90C53 90C51 65Y15 90C20 PDFBibTeX XMLCite \textit{J. B. Erway} and \textit{R. F. Marcia}, ACM Trans. Math. Softw. 40, No. 4, Article No. 28, 12 p. (2014; Zbl 1371.65050) Full Text: DOI
Lee, Ju-Hyun; Kang, Sungkwon Complex nonlinear parameter estimation (CNPE) and obstacle shape reconstruction. (English) Zbl 1350.65011 Comput. Math. Appl. 67, No. 8, 1631-1642 (2014). MSC: 65C60 65E05 49Q10 62F10 78A46 35J05 65J20 65J22 65J15 PDFBibTeX XMLCite \textit{J.-H. Lee} and \textit{S. Kang}, Comput. Math. Appl. 67, No. 8, 1631--1642 (2014; Zbl 1350.65011) Full Text: DOI
Z-Flores, Emigdio; Trujillo, Leonardo; Schütze, Oliver; Legrand, Pierrick Evaluating the effects of local search in genetic programming. (English) Zbl 1306.90189 Tantar, Alexandru-Adrian (ed.) et al., EVOLVE – a bridge between probability, set oriented numerics, and evolutionary computation V. Selected papers based on the presentations at the international conference, Beijing, China, July 1–4, 2014. Cham: Springer (ISBN 978-3-319-07493-1/pbk; 978-3-319-07494-8/ebook). Advances in Intelligent Systems and Computing 288, 213-228 (2014). MSC: 90C59 PDFBibTeX XMLCite \textit{E. Z-Flores} et al., Adv. Intell. Syst. Comput. 288, 213--228 (2014; Zbl 1306.90189) Full Text: DOI
Behboodi-Kahoo, Malihe; Ketabchi, Saeed Parametric approach for correcting inconsistent linear equality system. (English) Zbl 1298.90102 Optim. Methods Softw. 29, No. 6, 1317-1322 (2014). MSC: 90C30 90C31 15A39 PDFBibTeX XMLCite \textit{M. Behboodi-Kahoo} and \textit{S. Ketabchi}, Optim. Methods Softw. 29, No. 6, 1317--1322 (2014; Zbl 1298.90102) Full Text: DOI
Griewank, Andreas; Fischer, Jonathan; Bosse, Torsten Cubic overestimation and secant updating for unconstrained optimization of \(C^{2,1}\) functions. (English) Zbl 1306.90150 Optim. Methods Softw. 29, No. 5, 1075-1089 (2014). MSC: 90C30 90C53 90C55 49M27 PDFBibTeX XMLCite \textit{A. Griewank} et al., Optim. Methods Softw. 29, No. 5, 1075--1089 (2014; Zbl 1306.90150) Full Text: DOI
Flores-Bazán, Fabián; Cárcamo, Gabriel A geometric characterization of strong duality in nonconvex quadratic programming with linear and nonconvex quadratic constraints. (English) Zbl 1327.90305 Math. Program. 145, No. 1-2 (A), 263-290 (2014). Reviewer: Gabriela Cristescu (Arad) MSC: 90C30 41A65 52A07 PDFBibTeX XMLCite \textit{F. Flores-Bazán} and \textit{G. Cárcamo}, Math. Program. 145, No. 1--2 (A), 263--290 (2014; Zbl 1327.90305) Full Text: DOI Link
Jiménez, Alberto J. Sparse Hessian factorization in curved trajectories for unconstrained minimization. (English) Zbl 1282.65068 Optim. Methods Softw. 29, No. 1, 1-9 (2014). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. J. Jiménez}, Optim. Methods Softw. 29, No. 1, 1--9 (2014; Zbl 1282.65068) Full Text: DOI
Pištěk, Miroslav Approximate dynamic programming based on high dimensional model representation. (English) Zbl 1278.90423 Kybernetika 49, No. 5, 720-737 (2013). MSC: 90C39 PDFBibTeX XMLCite \textit{M. Pištěk}, Kybernetika 49, No. 5, 720--737 (2013; Zbl 1278.90423) Full Text: arXiv Link
Rojas, Marielba; Fotland, Bjørn H.; Steihaug, Trond Computational and sensitivity aspects of eigenvalue-based methods for the large-scale trust-region subproblem. (English) Zbl 1273.90142 Optim. Methods Softw. 28, No. 3, 564-580 (2013). MSC: 90C20 90C06 90C51 PDFBibTeX XMLCite \textit{M. Rojas} et al., Optim. Methods Softw. 28, No. 3, 564--580 (2013; Zbl 1273.90142) Full Text: DOI Link
Erway, Jennifer B.; Marcia, Roummel F. Limited-memory BFGS systems with diagonal updates. (English) Zbl 1246.65088 Linear Algebra Appl. 437, No. 1, 333-344 (2012). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C06 90C30 90C51 90C53 PDFBibTeX XMLCite \textit{J. B. Erway} and \textit{R. F. Marcia}, Linear Algebra Appl. 437, No. 1, 333--344 (2012; Zbl 1246.65088) Full Text: DOI arXiv
Benner, Peter; Embree, Mark; Lehoucq, Richard B.; Kelley, C. T. A mathematical biography of Danny C. Sorensen. (English) Zbl 1238.01104 Linear Algebra Appl. 436, No. 8, 2717-2724 (2012). MSC: 01A70 PDFBibTeX XMLCite \textit{P. Benner} et al., Linear Algebra Appl. 436, No. 8, 2717--2724 (2012; Zbl 1238.01104) Full Text: DOI
Apostolopoulou, M. S.; Sotiropoulos, D. G.; Botsaris, C. A.; Pintelas, P. A practical method for solving large-scale TRS. (English) Zbl 1220.90077 Optim. Lett. 5, No. 2, 207-227 (2011). MSC: 90C20 90C06 PDFBibTeX XMLCite \textit{M. S. Apostolopoulou} et al., Optim. Lett. 5, No. 2, 207--227 (2011; Zbl 1220.90077) Full Text: DOI
Andreani, R.; Birgin, E. G.; Martínez, J. M.; Schuverdt, M. L. Second-order negative-curvature methods for box-constrained and general constrained optimization. (English) Zbl 1187.90265 Comput. Optim. Appl. 45, No. 2, 209-236 (2010). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{R. Andreani} et al., Comput. Optim. Appl. 45, No. 2, 209--236 (2010; Zbl 1187.90265) Full Text: DOI Link
Abdel-Aziz, Mohammedi R.; El-Alem, Mahmoud M. Newton-Krylov type algorithm for solving nonlinear least squares problems. (English) Zbl 1177.65084 Int. J. Math. Math. Sci. 2009, Article ID 435851, 17 p. (2009). MSC: 65K05 90C20 90C53 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz} and \textit{M. M. El-Alem}, Int. J. Math. Math. Sci. 2009, Article ID 435851, 17 p. (2009; Zbl 1177.65084) Full Text: DOI EuDML
Shi, Zhen-Jun; Xu, Zhiwei The convergence of subspace trust region methods. (English) Zbl 1182.65094 J. Comput. Appl. Math. 231, No. 1, 365-377 (2009). Reviewer: Berwin A. Turlach (Crawley) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Z.-J. Shi} and \textit{Z. Xu}, J. Comput. Appl. Math. 231, No. 1, 365--377 (2009; Zbl 1182.65094) Full Text: DOI
Ariyawansa, K. A.; Tabor, Wayne L. A class of collinear scaling algorithms for bound-constrained optimization: Derivation and computational results. (English) Zbl 1169.65051 J. Comput. Appl. Math. 230, No. 1, 143-163 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{W. L. Tabor}, J. Comput. Appl. Math. 230, No. 1, 143--163 (2009; Zbl 1169.65051) Full Text: DOI
Wang, Yunjuan; Zhu, Detong An affine scaling optimal path method with interior backtracking curvilinear technique for linear constrained optimization. (English) Zbl 1160.65030 Appl. Math. Comput. 207, No. 1, 178-196 (2009). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{D. Zhu}, Appl. Math. Comput. 207, No. 1, 178--196 (2009; Zbl 1160.65030) Full Text: DOI
Guo, Peihua; Zhu, Detong Nonmonotonic reduced projected Hessian method via an affine scaling interior modified gradient path for bounded-constrained optimization. (English) Zbl 1176.65073 J. Syst. Sci. Complex. 21, No. 1, 85-113 (2008). MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{P. Guo} and \textit{D. Zhu}, J. Syst. Sci. Complex. 21, No. 1, 85--113 (2008; Zbl 1176.65073) Full Text: DOI
Sun, Wenyu; Hou, Liusheng; Dang, Chuangying A modified trust region method with beale’s PCG technique for optimization. (English) Zbl 1146.90074 Comput. Optim. Appl. 40, No. 1, 59-72 (2008). MSC: 90C30 90C52 PDFBibTeX XMLCite \textit{W. Sun} et al., Comput. Optim. Appl. 40, No. 1, 59--72 (2008; Zbl 1146.90074) Full Text: DOI
Ariyawansa, K. A.; Tabor, Wayne L. A class of collinear scaling algorithms for bound-constrained optimization: convergence theorems. (English) Zbl 1131.90057 J. Math. Anal. Appl. 334, No. 1, 716-737 (2007). MSC: 90C30 PDFBibTeX XMLCite \textit{K. A. Ariyawansa} and \textit{W. L. Tabor}, J. Math. Anal. Appl. 334, No. 1, 716--737 (2007; Zbl 1131.90057) Full Text: DOI
Zhu, Detong An affine scaling reduced preconditional conjugate gradient path method for linear constrained optimization. (English) Zbl 1122.65056 Appl. Math. Comput. 184, No. 2, 181-198 (2007). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 184, No. 2, 181--198 (2007; Zbl 1122.65056) Full Text: DOI
Lu, Zhaosong; Monteiro, Renato D. C. A modified nearly exact method for solving low-rank trust region subproblem. (English) Zbl 1138.90012 Math. Program. 109, No. 2-3 (B), 385-411 (2007). MSC: 90C06 90C30 65K05 PDFBibTeX XMLCite \textit{Z. Lu} and \textit{R. D. C. Monteiro}, Math. Program. 109, No. 2--3 (B), 385--411 (2007; Zbl 1138.90012) Full Text: DOI
Zhu, Detong Projected Hessian algorithm with backtracking interior point technique for linear constrained optimization. (English) Zbl 1222.90062 Front. Math. China 1, No. 4, 620-628 (2006); reprinted from J. Shanghai Normal Univ. Nat. Sci. 32, No. 4, 7-13 (2003). MSC: 90C30 90C51 90C55 65K05 PDFBibTeX XMLCite \textit{D. Zhu}, Front. Math. China 1, No. 4, 620--628 (2006; Zbl 1222.90062) Full Text: DOI
Francisco, Juliano B.; Martínez, José Mario; Martínez, Leandro Density-based globally convergent trust-region methods for self-consistent field electronic structure calculations. (English) Zbl 1110.92069 J. Math. Chem. 40, No. 4, 349-377 (2006). MSC: 92E99 65K10 92E10 PDFBibTeX XMLCite \textit{J. B. Francisco} et al., J. Math. Chem. 40, No. 4, 349--377 (2006; Zbl 1110.92069) Full Text: DOI
Wang, Zhou-Hong; Yuan, Ya-Xiang A subspace implementation of quasi-Newton trust region methods for unconstrained optimization. (English) Zbl 1101.65066 Numer. Math. 104, No. 2, 241-269 (2006). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C53 90C51 90C30 PDFBibTeX XMLCite \textit{Z.-H. Wang} and \textit{Y.-X. Yuan}, Numer. Math. 104, No. 2, 241--269 (2006; Zbl 1101.65066) Full Text: DOI
Kearsley, Anthony J. Matrix-free algorithm for the large-scale constrained trust-region subproblem. (English) Zbl 1095.90086 Optim. Methods Softw. 21, No. 2, 233-245 (2006). MSC: 90C20 65K10 PDFBibTeX XMLCite \textit{A. J. Kearsley}, Optim. Methods Softw. 21, No. 2, 233--245 (2006; Zbl 1095.90086) Full Text: DOI
Zhu, Detong An affine scaling interior trust-region method for \(LC^{1}\) minimization subject to bounds on variables. (English) Zbl 1091.65059 Appl. Math. Comput. 172, No. 2, 1272-1302 (2006). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C51 90C30 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 172, No. 2, 1272--1302 (2006; Zbl 1091.65059) Full Text: DOI
Zhu, Detong Affine scaling inexact generalized Newton algorithm with interior backtracking technique for solving bound-constrained semismooth equations. (English) Zbl 1080.90073 J. Comput. Appl. Math. 187, No. 2, 227-252 (2006). MSC: 90C30 90C33 65K05 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 187, No. 2, 227--252 (2006; Zbl 1080.90073) Full Text: DOI
Han, Qiaoming; Sun, Wenyu; Han, Jiye; Sampaio, Raimudo J. B. An adaptive conic trust-region method for unconstrained optimization. (English) Zbl 1127.90415 Optim. Methods Softw. 20, No. 6, 665-677 (2005). MSC: 90C53 90C30 90C55 PDFBibTeX XMLCite \textit{Q. Han} et al., Optim. Methods Softw. 20, No. 6, 665--677 (2005; Zbl 1127.90415) Full Text: DOI
Zhu, Detong An affine scaling trust-region algorithm with interior backtracking technique for solving bound-constrained nonlinear systems. (English) Zbl 1087.65047 J. Comput. Appl. Math. 184, No. 2, 343-361 (2005). Reviewer: Zhen Mei (Toronto) MSC: 65H10 65K05 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 184, No. 2, 343--361 (2005; Zbl 1087.65047) Full Text: DOI
Mostafa, El-Sayed M. E. A trust region method for solving the decentralized static output feedback design problem. (English) Zbl 1083.49024 J. Appl. Math. Comput. 18, No. 1-2, 1-23 (2005). MSC: 49N10 49N35 93B52 65K05 90C30 PDFBibTeX XMLCite \textit{E.-S. M. E. Mostafa}, J. Appl. Math. Comput. 18, No. 1--2, 1--23 (2005; Zbl 1083.49024) Full Text: DOI
Marina, Andretta; Birgin, Ernesto G.; Martínez, José Mario Practical active-set Euclidian trust-region method with spectral projected gradients for bound-constrained minimization. (English) Zbl 1079.65070 Optimization 54, No. 3, 305-325 (2005). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{A. Marina} et al., Optimization 54, No. 3, 305--325 (2005; Zbl 1079.65070) Full Text: DOI
Zhu, Detong An affine scaling projective reduced Hessian algorithm for minimum optimization with nonlinear equality and linear inequality constraints. (English) Zbl 1078.65057 Appl. Math. Comput. 166, No. 1, 131-163 (2005). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 90C26 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math. Comput. 166, No. 1, 131--163 (2005; Zbl 1078.65057) Full Text: DOI
Hager, William W.; Park, Soonchul Global convergence of SSM for minimizing a quadratic over a sphere. (English) Zbl 1059.90112 Math. Comput. 74, No. 251, 1413-1423 (2005). MSC: 90C20 65F10 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager} and \textit{S. Park}, Math. Comput. 74, No. 251, 1413--1423 (2005; Zbl 1059.90112) Full Text: DOI
Zhu, Detong An interior affine scaling projective algorithm for nonlinear equality and linear inequality constrained optimization. (English) Zbl 1070.65045 J. Comput. Appl. Math. 173, No. 1, 115-148 (2005). Reviewer: H. Ratschek (Düsseldorf) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 173, No. 1, 115--148 (2005; Zbl 1070.65045) Full Text: DOI
Fortin, Charles; Wolkowicz, Henry The trust region subproblem and semidefinite programming. (English) Zbl 1070.65041 Optim. Methods Softw. 19, No. 1, 41-67 (2004). Reviewer: Klaus Schittkowski (Bayreuth) MSC: 65K05 90C22 90C20 90C30 90C06 90C55 PDFBibTeX XMLCite \textit{C. Fortin} and \textit{H. Wolkowicz}, Optim. Methods Softw. 19, No. 1, 41--67 (2004; Zbl 1070.65041) Full Text: DOI
Abdel-Aziz, Mohammedi R. Globally convergent algorithm for solving large nonlinear systems of equations. (English) Zbl 1071.65071 Numer. Funct. Anal. Optimization 25, No. 3-4, 199-219 (2004). MSC: 65H10 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz}, Numer. Funct. Anal. Optim. 25, No. 3--4, 199--219 (2004; Zbl 1071.65071) Full Text: DOI
Le Thi Hoai An; Pham Dinh Tao; Dinh Nho Hào On the ill-posedness of the trust region subproblem. (English) Zbl 1049.90091 J. Inverse Ill-Posed Probl. 11, No. 6, 545-577 (2003). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 90C30 49K40 65J20 90C55 PDFBibTeX XMLCite \textit{Le Thi Hoai An} et al., J. Inverse Ill-Posed Probl. 11, No. 6, 545--577 (2003; Zbl 1049.90091) Full Text: DOI
Zhu, Detong A new affine scaling interior point algorithm for nonlinear optimization subject to linear equality and inequality constraints. (English) Zbl 1050.65064 J. Comput. Appl. Math. 161, No. 1, 1-25 (2003). Reviewer: S. Zlobec (Montreal) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 161, No. 1, 1--25 (2003; Zbl 1050.65064) Full Text: DOI
Abdel-Aziz, Mohammedi R.; El-Alem, Mahmoud M. Solving large-scale constrained least-squares problems. (English) Zbl 1033.65019 Appl. Math. Comput. 137, No. 2-3, 571-587 (2003). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 65F10 65F15 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz} and \textit{M. M. El-Alem}, Appl. Math. Comput. 137, No. 2--3, 571--587 (2003; Zbl 1033.65019) Full Text: DOI
Zhu, Detong Nonmonotonic back-tracking trust region interior point algorithm for linear constrained optimization. (English) Zbl 1028.65065 J. Comput. Appl. Math. 155, No. 2, 285-305 (2003). Reviewer: Nada Djuranović-Miličić (Beograd) MSC: 65K05 90C30 90C51 PDFBibTeX XMLCite \textit{D. Zhu}, J. Comput. Appl. Math. 155, No. 2, 285--305 (2003; Zbl 1028.65065) Full Text: DOI
Jonsson, Ulf Robustness of trajectories with finite time extent. (English) Zbl 1007.93048 Automatica 38, No. 9, 1485-1497 (2002). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 93C73 93B35 93B51 PDFBibTeX XMLCite \textit{U. Jonsson}, Automatica 38, No. 9, 1485--1497 (2002; Zbl 1007.93048) Full Text: DOI
Michelon, Philippe; Ripeau, Stéphanie; Maculan, Nelson An algorithm for bipartitioning a graph into subgraphs of fixed cardinality. (Un algorithme pour la bipartition d’un graphe en sous-graphes de cardinalité fixée.) (French) Zbl 0999.05093 RAIRO, Oper. Res. 35, No. 4, 401-414 (2001). MSC: 05C85 90C27 PDFBibTeX XMLCite \textit{P. Michelon} et al., RAIRO, Oper. Res. 35, No. 4, 401--414 (2001; Zbl 0999.05093) Full Text: DOI Numdam EuDML
Zhu, Detong Secant algorithms with nonmonotone trust region that employs Fletcher penalty function for constrained optimization. (English) Zbl 1049.90093 Optimization 50, No. 1-2, 121-153 (2001). MSC: 90C30 65K10 PDFBibTeX XMLCite \textit{D. Zhu}, Optimization 50, No. 1--2, 121--153 (2001; Zbl 1049.90093) Full Text: DOI
Abdel-Aziz, Mohammedi R. Parametrized eigensolution technique for solving constrained least squares problems. (English) Zbl 0969.65035 Int. J. Comput. Math. 75, No. 4, 481-495 (2000). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz}, Int. J. Comput. Math. 75, No. 4, 481--495 (2000; Zbl 0969.65035) Full Text: DOI
Abdel-Aziz, Mohammedi R. Implicitly restarted projection algorithm for solving optimization problems. (English) Zbl 0965.65089 Numer. Funct. Anal. Optimization 21, No. 3-4, 319-336 (2000). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 65K05 90C20 PDFBibTeX XMLCite \textit{M. R. Abdel-Aziz}, Numer. Funct. Anal. Optim. 21, No. 3--4, 319--336 (2000; Zbl 0965.65089) Full Text: DOI
Zhu, Detong Convergence properties of improved secant methods with region multiplier. (English) Zbl 0960.90085 Appl. Math., Ser. B (Engl. Ed.) 15, No. 2, 225-238 (2000). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{D. Zhu}, Appl. Math., Ser. B (Engl. Ed.) 15, No. 2, 225--238 (2000; Zbl 0960.90085) Full Text: DOI
Fan, Shu-Kai S. Computational schema on ridge analysis. (English) Zbl 0968.62530 Commun. Stat., Simulation Comput. 28, No. 3, 767-783 (1999). MSC: 62K20 65C60 PDFBibTeX XMLCite \textit{S.-K. S. Fan}, Commun. Stat., Simulation Comput. 28, No. 3, 767--783 (1999; Zbl 0968.62530) Full Text: DOI
Sun, W.; Sampaio, R. J. B.; Yuan, J. Quasi-Newton trust region algorithm for non-smooth least squares problems. (English) Zbl 1026.90066 Appl. Math. Comput. 105, No. 2-3, 183-194 (1999). MSC: 90C20 90C53 PDFBibTeX XMLCite \textit{W. Sun} et al., Appl. Math. Comput. 105, No. 2--3, 183--194 (1999; Zbl 1026.90066) Full Text: DOI
Xu, C. X.; Zhang, J. Z. Scaled optimal path trust-region algorithm. (English) Zbl 0939.90018 J. Optimization Theory Appl. 102, No. 1, 127-146 (1999). MSC: 90C30 PDFBibTeX XMLCite \textit{C. X. Xu} and \textit{J. Z. Zhang}, J. Optim. Theory Appl. 102, No. 1, 127--146 (1999; Zbl 0939.90018) Full Text: DOI
Wang, X.; Chang, T. S. A framework for globally convergent algorithms using gradient bounding functions. (English) Zbl 0949.90088 J. Optimization Theory Appl. 100, No. 3, 661-697 (1999). MSC: 90C30 90B35 PDFBibTeX XMLCite \textit{X. Wang} and \textit{T. S. Chang}, J. Optim. Theory Appl. 100, No. 3, 661--697 (1999; Zbl 0949.90088) Full Text: DOI
Ye, Yinyu On the complexity of approximating a KKT point of quadratic programming. (English) Zbl 0894.90117 Math. Program. 80, No. 2 (A), 195-211 (1998). MSC: 90C20 90C60 PDFBibTeX XMLCite \textit{Y. Ye}, Math. Program. 80, No. 2 (A), 195--211 (1998; Zbl 0894.90117) Full Text: DOI
Pham Dinh Tao; Thai Quynh Phong; Horaud, Radu; Quan, Long Stability of Lagrangian duality for nonconvex quadratic programming. Solution methods and applications in computer vision. (English) Zbl 0878.65045 RAIRO, Modélisation Math. Anal. Numér. 31, No. 1, 57-90 (1997). Reviewer: F.Luban (Bucureşti) MSC: 65K05 68U05 90C20 90C31 PDFBibTeX XMLCite \textit{Pham Dinh Tao} et al., RAIRO, Modélisation Math. Anal. Numér. 31, No. 1, 57--90 (1997; Zbl 0878.65045) Full Text: DOI EuDML