Milcent, Thomas; Lemoine, Antoine An analytic approach for the moment-of-fluid interface reconstruction method on tetrahedral meshes. (English) Zbl 07811342 J. Comput. Phys. 500, Article ID 112758, 32 p. (2024). MSC: 90Cxx 76Mxx 76Txx PDFBibTeX XMLCite \textit{T. Milcent} and \textit{A. Lemoine}, J. Comput. Phys. 500, Article ID 112758, 32 p. (2024; Zbl 07811342) Full Text: DOI
Carey, Michelle; Genest, Christian; Ramsay, James O. Sparse estimation within Pearson’s system, with an application to financial market risk. (English. French summary) Zbl 07759557 Can. J. Stat. 51, No. 3, 800-823 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{M. Carey} et al., Can. J. Stat. 51, No. 3, 800--823 (2023; Zbl 07759557) Full Text: DOI OA License
Curtis, Frank E.; Wang, Qi Worst-case complexity of TRACE with inexact subproblem solutions for nonconvex smooth optimization. (English) Zbl 1522.90119 SIAM J. Optim. 33, No. 3, 2191-2221 (2023). MSC: 90C26 65K05 65K10 65Y20 68Q25 90C30 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} and \textit{Q. Wang}, SIAM J. Optim. 33, No. 3, 2191--2221 (2023; Zbl 1522.90119) Full Text: DOI arXiv
Gulbahar, Burhan Encrypted quantum state tomography with phase estimation for quantum Internet. (English) Zbl 07725881 Quantum Inf. Process. 22, No. 7, Paper No. 288, 29 p. (2023). MSC: 81P68 PDFBibTeX XMLCite \textit{B. Gulbahar}, Quantum Inf. Process. 22, No. 7, Paper No. 288, 29 p. (2023; Zbl 07725881) Full Text: DOI
Erway, Jennifer B.; Rezapour, Mostafa A new multipoint symmetric secant method with a dense initial matrix. (English) Zbl 07724377 Optim. Methods Softw. 38, No. 4, 698-722 (2023). MSC: 90C26 90C53 PDFBibTeX XMLCite \textit{J. B. Erway} and \textit{M. Rezapour}, Optim. Methods Softw. 38, No. 4, 698--722 (2023; Zbl 07724377) Full Text: DOI arXiv
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Trace ratio optimization with an application to multi-view learning. (English) Zbl 1522.65100 Math. Program. 201, No. 1-2 (A), 97-131 (2023). MSC: 65K05 68T05 90C26 90C32 PDFBibTeX XMLCite \textit{L. Wang} et al., Math. Program. 201, No. 1--2 (A), 97--131 (2023; Zbl 1522.65100) Full Text: DOI arXiv
Wang, Alex L.; Lu, Yunlei; Kilinç-Karzan, Fatma Implicit regularity and linear convergence rates for the generalized trust-region subproblem. (English) Zbl 1522.90069 SIAM J. Optim. 33, No. 2, 1250-1278 (2023). MSC: 90C20 90C22 90C26 PDFBibTeX XMLCite \textit{A. L. Wang} et al., SIAM J. Optim. 33, No. 2, 1250--1278 (2023; Zbl 1522.90069) Full Text: DOI arXiv
Uhlig, Frank; Xu, An-Bao Iterative optimal solutions of linear matrix equations for hyperspectral and multispectral image fusing. (English) Zbl 1518.65042 Calcolo 60, No. 2, Paper No. 26, 33 p. (2023). MSC: 65F45 68U10 PDFBibTeX XMLCite \textit{F. Uhlig} and \textit{A.-B. Xu}, Calcolo 60, No. 2, Paper No. 26, 33 p. (2023; Zbl 1518.65042) Full Text: DOI arXiv
Mor, Uria; Shustin, Boris; Avron, Haim Solving trust region subproblems using Riemannian optimization. (English) Zbl 07707122 Numer. Math. 154, No. 1-2, 1-33 (2023). MSC: 65B99 65F99 90C99 PDFBibTeX XMLCite \textit{U. Mor} et al., Numer. Math. 154, No. 1--2, 1--33 (2023; Zbl 07707122) 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
Wang, Qinsi; Yang, Wei Hong Proximal quasi-Newton method for composite optimization over the Stiefel manifold. (English) Zbl 1519.90233 J. Sci. Comput. 95, No. 2, Paper No. 39, 34 p. (2023). MSC: 90C30 PDFBibTeX XMLCite \textit{Q. Wang} and \textit{W. H. Yang}, J. Sci. Comput. 95, No. 2, Paper No. 39, 34 p. (2023; Zbl 1519.90233) Full Text: DOI
Wang, Jiani; Wang, Xiao; Zhang, Liwei Stochastic regularized Newton methods for nonlinear equations. (English) Zbl 1519.90141 J. Sci. Comput. 94, No. 3, Paper No. 51, 33 p. (2023). MSC: 90C15 49M37 65K10 90C30 PDFBibTeX XMLCite \textit{J. Wang} et al., J. Sci. Comput. 94, No. 3, Paper No. 51, 33 p. (2023; Zbl 1519.90141) Full Text: DOI
Liu, Tong-Rui; Aldakheel, Fadi; Aliabadi, M. H. Virtual element method for phase field modeling of dynamic fracture. (English) Zbl 07692952 Comput. Methods Appl. Mech. Eng. 411, Article ID 116050, 29 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T.-R. Liu} et al., Comput. Methods Appl. Mech. Eng. 411, Article ID 116050, 29 p. (2023; Zbl 07692952) Full Text: DOI
Sun, Jun; Kong, Lingchen; Qu, Biao A greedy Newton-type method for multiple sparse constraint problem. (English) Zbl 1517.90112 J. Optim. Theory Appl. 196, No. 3, 829-854 (2023). MSC: 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Optim. Theory Appl. 196, No. 3, 829--854 (2023; Zbl 1517.90112) Full Text: DOI
Lee, Jae Hwa; Jung, Yoon Mo; Yun, Sangwoon A limited-memory trust-region method for nonlinear optimization with many equality constraints. (English) Zbl 1524.90294 Comput. Appl. Math. 42, No. 3, Paper No. 109, 27 p. (2023). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{J. H. Lee} et al., Comput. Appl. Math. 42, No. 3, Paper No. 109, 27 p. (2023; Zbl 1524.90294) 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
Sun, Jun; Kong, Lingchen; Zhou, Shenglong Gradient projection Newton algorithm for sparse collaborative learning using synthetic and real datasets of applications. (English) Zbl 1524.90262 J. Comput. Appl. Math. 422, Article ID 114872, 20 p. (2023). MSC: 90C26 90C30 65K05 PDFBibTeX XMLCite \textit{J. Sun} et al., J. Comput. Appl. Math. 422, Article ID 114872, 20 p. (2023; Zbl 1524.90262) Full Text: DOI arXiv
Jiang, Rujun; Li, Xudong Hölderian error bounds and Kurdyka-Łojasiewicz inequality for the trust region subproblem. (English) Zbl 1510.90201 Math. Oper. Res. 47, No. 4, 3025-3050 (2022). MSC: 90C20 90C26 49J52 90C30 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{X. Li}, Math. Oper. Res. 47, No. 4, 3025--3050 (2022; Zbl 1510.90201) Full Text: DOI arXiv
Blozis, Shelley A. A latent variable mixed-effects location scale model with an application to daily diary data. (English) Zbl 1499.62428 Psychometrika 87, No. 4, 1548-1570 (2022). MSC: 62P15 PDFBibTeX XMLCite \textit{S. A. Blozis}, Psychometrika 87, No. 4, 1548--1570 (2022; Zbl 1499.62428) Full Text: DOI
Lin, Matthew M.; Chu, Moody T. Low-rank approximation to entangled multipartite quantum systems. (English) Zbl 1508.81489 Quantum Inf. Process. 21, No. 4, Paper No. 120, 28 p. (2022). MSC: 81P68 65F55 15A24 15A72 65H10 81P40 PDFBibTeX XMLCite \textit{M. M. Lin} and \textit{M. T. Chu}, Quantum Inf. Process. 21, No. 4, Paper No. 120, 28 p. (2022; Zbl 1508.81489) Full Text: DOI
Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang Maximizing sum of coupled traces with applications. (English) Zbl 1505.65221 Numer. Math. 152, No. 3, 587-629 (2022). MSC: 65K05 65H17 90C26 PDFBibTeX XMLCite \textit{L. Wang} et al., Numer. Math. 152, No. 3, 587--629 (2022; Zbl 1505.65221) 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
Kanzow, Christian; Mehlitz, Patrick Convergence properties of monotone and nonmonotone proximal gradient methods revisited. (English) Zbl 1506.90246 J. Optim. Theory Appl. 195, No. 2, 624-646 (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{P. Mehlitz}, J. Optim. Theory Appl. 195, No. 2, 624--646 (2022; Zbl 1506.90246) Full Text: DOI arXiv
Gao, Guohua; Wang, Yixuan; Vink, Jeroen C.; Wells, Terence J.; Saaf, Fredrik J. F. E. Distributed quasi-Newton derivative-free optimization method for optimization problems with multiple local optima. (English) Zbl 1496.65069 Comput. Geosci. 26, No. 4, 847-863 (2022). MSC: 65K05 86A05 90C39 86A32 65K10 PDFBibTeX XMLCite \textit{G. Gao} et al., Comput. Geosci. 26, No. 4, 847--863 (2022; Zbl 1496.65069) Full Text: DOI
Milzarek, Andre; Xiao, Xiantao; Wen, Zaiwen; Ulbrich, Michael On the local convergence of a stochastic semismooth Newton method for nonsmooth nonconvex optimization. (English) Zbl 1497.65098 Sci. China, Math. 65, No. 10, 2151-2170 (2022). MSC: 65K05 90C06 90C15 90C26 PDFBibTeX XMLCite \textit{A. Milzarek} et al., Sci. China, Math. 65, No. 10, 2151--2170 (2022; Zbl 1497.65098) Full Text: DOI
Akrotirianakis, I. G.; Gratton, M.; Griffin, J. D.; Yektamaram, S.; Zhou, W. Simultaneous iterative solutions for the trust-region and minimum eigenvalue subproblem. (English) Zbl 1501.90070 Optim. Methods Softw. 37, No. 2, 692-711 (2022). MSC: 90C26 90C56 65K05 49M37 PDFBibTeX XMLCite \textit{I. G. Akrotirianakis} et al., Optim. Methods Softw. 37, No. 2, 692--711 (2022; Zbl 1501.90070) Full Text: DOI
Zhou, Shenglong Gradient projection Newton pursuit for sparsity constrained optimization. (English) Zbl 1501.65023 Appl. Comput. Harmon. Anal. 61, 75-100 (2022). MSC: 65K10 90C52 PDFBibTeX XMLCite \textit{S. Zhou}, Appl. Comput. Harmon. Anal. 61, 75--100 (2022; Zbl 1501.65023) Full Text: DOI arXiv
Joshaghani, M. S.; Nakshatrala, K. B. A modeling framework for coupling plasticity with species diffusion. (English) Zbl 1495.74008 Commun. Comput. Phys. 32, No. 1, 83-125 (2022). MSC: 74C05 74E40 74R20 74S99 PDFBibTeX XMLCite \textit{M. S. Joshaghani} and \textit{K. B. Nakshatrala}, Commun. Comput. Phys. 32, No. 1, 83--125 (2022; Zbl 1495.74008) Full Text: DOI arXiv
Zhang, Zhenyue; Zhai, Zheng; Li, Limin Graph refinement via simultaneously low-rank and sparse approximation. (English) Zbl 1507.65090 SIAM J. Sci. Comput. 44, No. 3, A1525-A1553 (2022). MSC: 65F99 65F55 65F50 65K10 68R10 68T05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., SIAM J. Sci. Comput. 44, No. 3, A1525--A1553 (2022; Zbl 1507.65090) Full Text: DOI
Li, Bin; Lei, Yuan Hybrid algorithms with active set prediction for solving linear inequalities in a least squares sense. (English) Zbl 1492.65164 Numer. Algorithms 90, No. 3, 1327-1356 (2022). MSC: 65K05 PDFBibTeX XMLCite \textit{B. Li} and \textit{Y. Lei}, Numer. Algorithms 90, No. 3, 1327--1356 (2022; Zbl 1492.65164) Full Text: DOI
Jia, Xiaojing; Liang, Xin; Shen, Chungen; Zhang, Lei-Hong Solving the cubic regularization model by a nested restarting Lanczos method. (English) Zbl 1489.90183 SIAM J. Matrix Anal. Appl. 43, No. 2, 812-839 (2022). MSC: 90C30 90C06 90C53 65K05 65F15 PDFBibTeX XMLCite \textit{X. Jia} et al., SIAM J. Matrix Anal. Appl. 43, No. 2, 812--839 (2022; Zbl 1489.90183) Full Text: DOI
Aravkin, Aleksandr Y.; Baraldi, Robert; Orban, Dominique A proximal quasi-Newton trust-region method for nonsmooth regularized optimization. (English) Zbl 1493.90139 SIAM J. Optim. 32, No. 2, 900-929 (2022). MSC: 90C26 90C53 90C56 65K10 PDFBibTeX XMLCite \textit{A. Y. Aravkin} et al., SIAM J. Optim. 32, No. 2, 900--929 (2022; Zbl 1493.90139) Full Text: DOI arXiv
Milz, Johannes; Ulbrich, Michael An approximation scheme for distributionally robust PDE-constrained optimization. (English) Zbl 1493.90120 SIAM J. Control Optim. 60, No. 3, 1410-1435 (2022). MSC: 90C17 90C26 90C59 65K05 PDFBibTeX XMLCite \textit{J. Milz} and \textit{M. Ulbrich}, SIAM J. Control Optim. 60, No. 3, 1410--1435 (2022; Zbl 1493.90120) Full Text: DOI
Karbasy, Saeid Ansary; Salahi, Maziar On the branch and bound algorithm for the extended trust-region subproblem. (English) Zbl 1493.90124 J. Glob. Optim. 83, No. 2, 221-233 (2022). MSC: 90C20 90C26 90C57 PDFBibTeX XMLCite \textit{S. A. Karbasy} and \textit{M. Salahi}, J. Glob. Optim. 83, No. 2, 221--233 (2022; Zbl 1493.90124) Full Text: DOI
Kamandi, Ahmad; Amini, Keyvan A new nonmonotone adaptive trust region algorithm. (English) Zbl 07511503 Appl. Math., Praha 67, No. 2, 233-250 (2022). MSC: 90C30 PDFBibTeX XMLCite \textit{A. Kamandi} and \textit{K. Amini}, Appl. Math., Praha 67, No. 2, 233--250 (2022; Zbl 07511503) Full Text: DOI arXiv
Tankaria, Hardik; Sugimoto, Shinji; Yamashita, Nobuo A regularized limited memory BFGS method for large-scale unconstrained optimization and its efficient implementations. (English) Zbl 1490.90282 Comput. Optim. Appl. 82, No. 1, 61-88 (2022). MSC: 90C30 90C06 PDFBibTeX XMLCite \textit{H. Tankaria} et al., Comput. Optim. Appl. 82, No. 1, 61--88 (2022; Zbl 1490.90282) Full Text: DOI arXiv
Ma, Xijun; Shen, Chungen; Wang, Li; Zhang, Lei-Hong; Li, Ren-Cang A self-consistent-field iteration for MAXBET with an application to multi-view feature extraction. (English) Zbl 1490.90213 Adv. Comput. Math. 48, No. 2, Paper No. 13, 34 p. (2022). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{X. Ma} et al., Adv. Comput. Math. 48, No. 2, Paper No. 13, 34 p. (2022; Zbl 1490.90213) Full Text: DOI
Porcelli, Margherita; Toint, Philippe L. Exploiting problem structure in derivative free optimization. (English) Zbl 07500131 ACM Trans. Math. Softw. 48, No. 1, Article No. 6, 25 p. (2022). MSC: 65-XX PDFBibTeX XMLCite \textit{M. Porcelli} and \textit{P. L. Toint}, ACM Trans. Math. Softw. 48, No. 1, Article No. 6, 25 p. (2022; Zbl 07500131) Full Text: DOI arXiv
Wang, Alex L.; Kılınç-Karzan, Fatma The generalized trust region subproblem: solution complexity and convex hull results. (English) Zbl 1489.90099 Math. Program. 191, No. 2 (A), 445-486 (2022). MSC: 90C20 90C22 90C25 90C26 65F15 PDFBibTeX XMLCite \textit{A. L. Wang} and \textit{F. Kılınç-Karzan}, Math. Program. 191, No. 2 (A), 445--486 (2022; Zbl 1489.90099) Full Text: DOI arXiv
Zeng, Liaoyuan; Pong, Ting Kei \(\rho\)-regularization subproblems: strong duality and an eigensolver-based algorithm. (English) Zbl 1487.90609 Comput. Optim. Appl. 81, No. 2, 337-368 (2022). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{L. Zeng} and \textit{T. K. Pong}, Comput. Optim. Appl. 81, No. 2, 337--368 (2022; Zbl 1487.90609) Full Text: DOI arXiv
Lin, Matthew M.; Chu, Moody T. Rank-1 approximation for entangled multipartite real systems. (English) Zbl 1486.81033 J. Sci. Comput. 91, No. 1, Paper No. 24, 20 p. (2022). MSC: 81P40 81P42 81Q15 35P30 81P45 81P68 81V70 46A32 81-10 PDFBibTeX XMLCite \textit{M. M. Lin} and \textit{M. T. Chu}, J. Sci. Comput. 91, No. 1, Paper No. 24, 20 p. (2022; Zbl 1486.81033) Full Text: DOI
Hang, Haotian; Heydari, Sina; Costello, John H.; Kanso, Eva Active tail flexion in concert with passive hydrodynamic forces improves swimming speed and efficiency. (English) Zbl 1508.76137 J. Fluid Mech. 932, Paper No. A35, 25 p. (2022). MSC: 76Z10 76M23 92C10 PDFBibTeX XMLCite \textit{H. Hang} et al., J. Fluid Mech. 932, Paper No. A35, 25 p. (2022; Zbl 1508.76137) Full Text: DOI arXiv
Sánchez, Wilmer; Pérez, Rosana; Martínez, Héctor J. A global Jacobian smoothing algorithm for nonlinear complementarity problems. (English) Zbl 1495.90198 Rev. Integr. 39, No. 2, 191-215 (2021). MSC: 90C30 90C06 49M15 PDFBibTeX XMLCite \textit{W. Sánchez} et al., Rev. Integr. 39, No. 2, 191--215 (2021; Zbl 1495.90198) Full Text: DOI
Zhou, Shenglong; Pan, Lili; Xiu, Naihua Newton method for \(\ell_0\)-regularized optimization. (English) Zbl 1482.65092 Numer. Algorithms 88, No. 4, 1541-1570 (2021). MSC: 65K05 90C46 90C27 PDFBibTeX XMLCite \textit{S. Zhou} et al., Numer. Algorithms 88, No. 4, 1541--1570 (2021; Zbl 1482.65092) Full Text: DOI arXiv
Larson, Jeffrey; Menickelly, Matt; Zhou, Baoyu Manifold sampling for optimizing nonsmooth nonconvex compositions. (English) Zbl 1489.90214 SIAM J. Optim. 31, No. 4, 2638-2664 (2021). Reviewer: Aris Daniilidis (Vienna) MSC: 90C56 49J52 PDFBibTeX XMLCite \textit{J. Larson} et al., SIAM J. Optim. 31, No. 4, 2638--2664 (2021; Zbl 1489.90214) Full Text: DOI arXiv
Moosaei, Hossein; Hladík, Milan On the optimal correction of infeasible systems of linear inequalities. (English) Zbl 1482.90173 J. Optim. Theory Appl. 190, No. 1, 32-55 (2021). Reviewer: Julien Ugon (Burwood) MSC: 90C26 90C30 90C32 90C20 PDFBibTeX XMLCite \textit{H. Moosaei} and \textit{M. Hladík}, J. Optim. Theory Appl. 190, No. 1, 32--55 (2021; Zbl 1482.90173) Full Text: DOI
Wang, Rui; Xiu, Naihua; Toh, Kim-Chuan Subspace quadratic regularization method for group sparse multinomial logistic regression. (English) Zbl 1472.62122 Comput. Optim. Appl. 79, No. 3, 531-559 (2021). MSC: 62J12 62-08 PDFBibTeX XMLCite \textit{R. Wang} et al., Comput. Optim. Appl. 79, No. 3, 531--559 (2021; Zbl 1472.62122) Full Text: DOI
Zhou, Shenglong; Xiu, Naihua; Qi, Hou-Duo Global and quadratic convergence of Newton hard-thresholding pursuit. (English) Zbl 07370529 J. Mach. Learn. Res. 22, Paper No. 12, 45 p. (2021). MSC: 68T05 PDFBibTeX XMLCite \textit{S. Zhou} et al., J. Mach. Learn. Res. 22, Paper No. 12, 45 p. (2021; Zbl 07370529) Full Text: arXiv Link
Wang, Rui; Xiu, Naihua; Zhou, Shenglong An extended Newton-type algorithm for \(\ell_2\)-regularized sparse logistic regression and its efficiency for classifying large-scale datasets. (English) Zbl 1469.90161 J. Comput. Appl. Math. 397, Article ID 113656, 17 p. (2021). MSC: 90C53 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Comput. Appl. Math. 397, Article ID 113656, 17 p. (2021; Zbl 1469.90161) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{C. Kanzow} and \textit{T. Lechner}, Comput. Optim. Appl. 78, No. 2, 377--410 (2021; Zbl 1469.90111) Full Text: DOI
Hoffmann, Alexandre; Monteiller, Vadim; Bellis, Cédric A penalty-free approach to PDE constrained optimization: application to an inverse wave problem. (English) Zbl 1468.90129 Inverse Probl. 37, No. 5, Article ID 055002, 30 p. (2021). MSC: 90C30 90C55 PDFBibTeX XMLCite \textit{A. Hoffmann} et al., Inverse Probl. 37, No. 5, Article ID 055002, 30 p. (2021; Zbl 1468.90129) Full Text: DOI HAL
Jia, Zhongxiao; Wang, Fa The convergence of the generalized Lanczos trust-region method for the trust-region subproblem. (English) Zbl 1462.90083 SIAM J. Optim. 31, No. 1, 887-914 (2021). MSC: 90C20 90C30 65K05 65F10 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{F. Wang}, SIAM J. Optim. 31, No. 1, 887--914 (2021; Zbl 1462.90083) Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Royer, Clément W.; Wright, Stephen J. Trust-region Newton-CG with strong second-order complexity guarantees for nonconvex optimization. (English) Zbl 1461.90107 SIAM J. Optim. 31, No. 1, 518-544 (2021). MSC: 90C26 49M05 49M15 65K05 90C60 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., SIAM J. Optim. 31, No. 1, 518--544 (2021; Zbl 1461.90107) Full Text: DOI arXiv
Dussault, Jean-Pierre A unified efficient implementation of trust-region type algorithms for unconstrained optimization. (English) Zbl 1509.90195 INFOR: Inf. Syst. Oper. Res. 58, No. 2, 290-309 (2020). MSC: 90C30 PDFBibTeX XMLCite \textit{J.-P. Dussault}, INFOR: Inf. Syst. Oper. Res. 58, No. 2, 290--309 (2020; Zbl 1509.90195) 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
Jiang, Rujun; Li, Duan A linear-time algorithm for generalized trust region subproblems. (English) Zbl 1461.90086 SIAM J. Optim. 30, No. 1, 915-932 (2020). MSC: 90C20 90C22 90C26 68W25 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, SIAM J. Optim. 30, No. 1, 915--932 (2020; Zbl 1461.90086) Full Text: DOI arXiv
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
Martens, James New insights and perspectives on the natural gradient method. (English) Zbl 07306852 J. Mach. Learn. Res. 21, Paper No. 146, 76 p. (2020). MSC: 65K10 PDFBibTeX XMLCite \textit{J. Martens}, J. Mach. Learn. Res. 21, Paper No. 146, 76 p. (2020; Zbl 07306852) Full Text: arXiv Link
Lieder, Felix Solving large-scale cubic regularization by a generalized eigenvalue problem. (English) Zbl 1458.90589 SIAM J. Optim. 30, No. 4, 3345-3358 (2020). MSC: 90C30 90-08 49M15 65K05 PDFBibTeX XMLCite \textit{F. Lieder}, SIAM J. Optim. 30, No. 4, 3345--3358 (2020; Zbl 1458.90589) Full Text: DOI
Wang, Xiaohui; Zhang, Hao; Xia, Yong GPS localization problem: a new model and its global optimization. (English) Zbl 1452.90253 Optim. Eng. 21, No. 3, 851-866 (2020). MSC: 90C26 90C32 90C90 PDFBibTeX XMLCite \textit{X. Wang} et al., Optim. Eng. 21, No. 3, 851--866 (2020; Zbl 1452.90253) Full Text: DOI
Daneshmand, Amir; Scutari, Gesualdo; Kungurtsev, Vyacheslav Second-order guarantees of distributed gradient algorithms. (English) Zbl 1493.90141 SIAM J. Optim. 30, No. 4, 3029-3068 (2020). MSC: 90C26 68W15 90C35 PDFBibTeX XMLCite \textit{A. Daneshmand} et al., SIAM J. Optim. 30, No. 4, 3029--3068 (2020; Zbl 1493.90141) Full Text: DOI arXiv
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
Cartis, Coralia; Gould, Nicholas I. M.; Lange, Marius On monotonic estimates of the norm of the minimizers of regularized quadratic functions in Krylov spaces. (English) Zbl 1448.90069 BIT 60, No. 3, 583-589 (2020). MSC: 90C20 90C26 90C48 PDFBibTeX XMLCite \textit{C. Cartis} et al., BIT 60, No. 3, 583--589 (2020; Zbl 1448.90069) Full Text: DOI Link
Erway, Jennifer B.; Griffin, Joshua; Marcia, Roummel F.; Omheni, Riadh Trust-region algorithms for training responses: machine learning methods using indefinite Hessian approximations. (English) Zbl 1440.90092 Optim. Methods Softw. 35, No. 3, 460-487 (2020). MSC: 90C53 15A06 90C06 65K05 65K10 49M15 PDFBibTeX XMLCite \textit{J. B. Erway} et al., Optim. Methods Softw. 35, No. 3, 460--487 (2020; Zbl 1440.90092) Full Text: DOI arXiv
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
Taati, Akram; Salahi, Maziar On local non-global minimizers of quadratic optimization problem with a single quadratic constraint. (English) Zbl 1464.90052 Numer. Funct. Anal. Optim. 41, No. 8, 969-1005 (2020). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{A. Taati} and \textit{M. Salahi}, Numer. Funct. Anal. Optim. 41, No. 8, 969--1005 (2020; Zbl 1464.90052) Full Text: DOI
Nguyen, Van-Bong; Nguyen, Thi Ngan; Sheu, Ruey-Lin Strong duality in minimizing a quadratic form subject to two homogeneous quadratic inequalities over the unit sphere. (English) Zbl 1472.90082 J. Glob. Optim. 76, No. 1, 121-135 (2020). Reviewer: Paulo Mbunga (Kiel) MSC: 90C20 90C22 90C26 90C46 49M20 PDFBibTeX XMLCite \textit{V.-B. Nguyen} et al., J. Glob. Optim. 76, No. 1, 121--135 (2020; Zbl 1472.90082) Full Text: DOI
Brás, C. P.; Martínez, J. M.; Raydan, M. Large-scale unconstrained optimization using separable cubic modeling and matrix-free subspace minimization. (English) Zbl 1432.90119 Comput. Optim. Appl. 75, No. 1, 169-205 (2020). MSC: 90C26 65K10 90C06 PDFBibTeX XMLCite \textit{C. P. Brás} et al., Comput. Optim. Appl. 75, No. 1, 169--205 (2020; Zbl 1432.90119) Full Text: DOI Link
Wang, Li-Yan; Liu, Ji-Jun On fluorophore imaging by diffusion equation model: decompositions and optimizations. (English) Zbl 1431.35055 Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 203-222 (2020). MSC: 35K20 35R30 65K05 94A08 35C15 35R25 PDFBibTeX XMLCite \textit{L.-Y. Wang} and \textit{J.-J. Liu}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 1, 203--222 (2020; Zbl 1431.35055) Full Text: DOI
Jiang, Rujun; Li, Duan On conic relaxations of generalization of the extended trust region subproblem. (English) Zbl 1429.90095 Le Thi, Hoai An (ed.) et al., Optimization of complex systems: theory, models, algorithms and applications. Selected papers of the 6th world congress on global optimization (WCGO 2019), University of Lorraine, Metz, France, July 8–10, 2019. Cham: Springer. Adv. Intell. Syst. Comput. 991, 145-154 (2020). MSC: 90C47 90C22 90C20 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, Adv. Intell. Syst. Comput. 991, 145--154 (2020; Zbl 1429.90095) Full Text: DOI
Gould, Nicholas I. M.; Simoncini, Valeria Error estimates for iterative algorithms for minimizing regularized quadratic subproblems. (English) Zbl 1428.90160 Optim. Methods Softw. 35, No. 2, 304-328 (2020). MSC: 90C30 65K05 90C20 PDFBibTeX XMLCite \textit{N. I. M. Gould} and \textit{V. Simoncini}, Optim. Methods Softw. 35, No. 2, 304--328 (2020; Zbl 1428.90160) Full Text: DOI Link
Bahrami, Somayeh; Amini, Keyvan An efficient two-step trust-region algorithm for exactly determined consistent systems of nonlinear equations. (English) Zbl 1490.65092 J. Comput. Appl. Math. 367, Article ID 112470, 13 p. (2020). MSC: 65H10 PDFBibTeX XMLCite \textit{S. Bahrami} and \textit{K. Amini}, J. Comput. Appl. Math. 367, Article ID 112470, 13 p. (2020; Zbl 1490.65092) Full Text: DOI
Brust, Johannes J.; Marcia, Roummel F.; Petra, Cosmin G. Large-scale quasi-Newton trust-region methods with low-dimensional linear equality constraints. (English) Zbl 1435.90147 Comput. Optim. Appl. 74, No. 3, 669-701 (2019). MSC: 90C53 90C06 PDFBibTeX XMLCite \textit{J. J. Brust} et al., Comput. Optim. Appl. 74, No. 3, 669--701 (2019; Zbl 1435.90147) Full Text: DOI Link
Amiri, Erfan A.; Craig, James R.; Hirmand, M. Reza A trust region approach for numerical modeling of non-isothermal phase change. (English) Zbl 1425.86019 Comput. Geosci. 23, No. 5, 911-923 (2019). MSC: 86A40 49M25 49M37 65Z05 PDFBibTeX XMLCite \textit{E. A. Amiri} et al., Comput. Geosci. 23, No. 5, 911--923 (2019; Zbl 1425.86019) Full Text: DOI
Nino-Ruiz, Elias D.; Ardila, Carlos; Estrada, Jesus; Capacho, Jose A reduced-space line-search method for unconstrained optimization via random descent directions. (English) Zbl 1428.90136 Appl. Math. Comput. 341, 15-30 (2019). MSC: 90C26 49K10 49M05 49M15 65K05 PDFBibTeX XMLCite \textit{E. D. Nino-Ruiz} et al., Appl. Math. Comput. 341, 15--30 (2019; Zbl 1428.90136) Full Text: DOI
Guan, Yu; Chu, Delin Numerical computation for orthogonal low-rank approximation of tensors. (English) Zbl 1435.65064 SIAM J. Matrix Anal. Appl. 40, No. 3, 1047-1065 (2019). MSC: 65F25 65F20 65F55 15A69 65J10 68W25 PDFBibTeX XMLCite \textit{Y. Guan} and \textit{D. Chu}, SIAM J. Matrix Anal. Appl. 40, No. 3, 1047--1065 (2019; Zbl 1435.65064) Full Text: DOI
Taati, A.; Salahi, M. A conjugate gradient-based algorithm for large-scale quadratic programming problem with one quadratic constraint. (English) Zbl 1427.90210 Comput. Optim. Appl. 74, No. 1, 195-223 (2019). MSC: 90C20 90C06 90C52 PDFBibTeX XMLCite \textit{A. Taati} and \textit{M. Salahi}, Comput. Optim. Appl. 74, No. 1, 195--223 (2019; Zbl 1427.90210) Full Text: DOI arXiv
Larson, Jeffrey; Menickelly, Matt; Wild, Stefan M. Derivative-free optimization methods. (English) Zbl 1461.65169 Acta Numerica 28, 287-404 (2019). Reviewer: Armin Hoffmann (Ilmenau) MSC: 65K05 90C56 90-02 90-08 PDFBibTeX XMLCite \textit{J. Larson} et al., Acta Numerica 28, 287--404 (2019; Zbl 1461.65169) Full Text: DOI arXiv
Jiang, Rujun; Li, Duan Novel reformulations and efficient algorithms for the generalized trust region subproblem. (English) Zbl 1421.90105 SIAM J. Optim. 29, No. 2, 1603-1633 (2019). MSC: 90C20 90C25 90C26 90C30 90C47 PDFBibTeX XMLCite \textit{R. Jiang} and \textit{D. Li}, SIAM J. Optim. 29, No. 2, 1603--1633 (2019; Zbl 1421.90105) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. A Newton-like method with mixed factorizations and cubic regularization for unconstrained minimization. (English) Zbl 1422.90070 Comput. Optim. Appl. 73, No. 3, 707-753 (2019). MSC: 90C53 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 73, No. 3, 707--753 (2019; Zbl 1422.90070) Full Text: DOI
Lee, Ching-pei; Wright, Stephen J. Inexact successive quadratic approximation for regularized optimization. (English) Zbl 1420.90045 Comput. Optim. Appl. 72, No. 3, 641-674 (2019). MSC: 90C25 90C26 90C55 PDFBibTeX XMLCite \textit{C.-p. Lee} and \textit{S. J. Wright}, Comput. Optim. Appl. 72, No. 3, 641--674 (2019; Zbl 1420.90045) Full Text: DOI arXiv
Xia, Yong; Wang, Longfei; Yang, Meijia A fast algorithm for globally solving Tikhonov regularized total least squares problem. (English) Zbl 1411.65065 J. Glob. Optim. 73, No. 2, 311-330 (2019). MSC: 65F20 90C26 90C32 90C20 PDFBibTeX XMLCite \textit{Y. Xia} et al., J. Glob. Optim. 73, No. 2, 311--330 (2019; Zbl 1411.65065) Full Text: DOI arXiv
Huang, Baohua; Ma, Changfeng The least squares solution of a class of generalized Sylvester-transpose matrix equations with the norm inequality constraint. (English) Zbl 1429.65087 J. Glob. Optim. 73, No. 1, 193-221 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{B. Huang} and \textit{C. Ma}, J. Glob. Optim. 73, No. 1, 193--221 (2019; Zbl 1429.65087) Full Text: DOI
Paternain, Santiago; Mokhtari, Aryan; Ribeiro, Alejandro A Newton-based method for nonconvex optimization with fast evasion of saddle points. (English) Zbl 1410.90202 SIAM J. Optim. 29, No. 1, 343-368 (2019). MSC: 90C30 90C06 PDFBibTeX XMLCite \textit{S. Paternain} et al., SIAM J. Optim. 29, No. 1, 343--368 (2019; Zbl 1410.90202) Full Text: DOI arXiv
Adachi, Satoru; Nakatsukasa, Yuji Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint. (English) Zbl 1411.90246 Math. Program. 173, No. 1-2 (A), 79-116 (2019). MSC: 90C20 90C30 65K05 PDFBibTeX XMLCite \textit{S. Adachi} and \textit{Y. Nakatsukasa}, Math. Program. 173, No. 1--2 (A), 79--116 (2019; Zbl 1411.90246) Full Text: DOI
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
Bellavia, Stefania; Riccietti, Elisa On an elliptical trust-region procedure for ill-posed nonlinear least-squares problems. (English) Zbl 1416.65159 J. Optim. Theory Appl. 178, No. 3, 824-859 (2018). MSC: 65J20 65J15 65K10 PDFBibTeX XMLCite \textit{S. Bellavia} and \textit{E. Riccietti}, J. Optim. Theory Appl. 178, No. 3, 824--859 (2018; Zbl 1416.65159) Full Text: DOI
Khan, Kamil A.; Larson, Jeffrey; Wild, Stefan M. Manifold sampling for optimization of nonconvex functions that are piecewise linear compositions of smooth components. (English) Zbl 1407.90351 SIAM J. Optim. 28, No. 4, 3001-3024 (2018). MSC: 90C56 49J52 PDFBibTeX XMLCite \textit{K. A. Khan} et al., SIAM J. Optim. 28, No. 4, 3001--3024 (2018; Zbl 1407.90351) Full Text: DOI
Zhang, Hao; Ni, Qin A new regularized quasi-Newton method for unconstrained optimization. (English) Zbl 1407.90313 Optim. Lett. 12, No. 7, 1639-1658 (2018). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{Q. Ni}, Optim. Lett. 12, No. 7, 1639--1658 (2018; Zbl 1407.90313) Full Text: DOI
Sun, Ju; Qu, Qing; Wright, John A geometric analysis of phase retrieval. (English) Zbl 1401.94049 Found. Comput. Math. 18, No. 5, 1131-1198 (2018). MSC: 94A12 49K45 65K05 90C26 90C90 PDFBibTeX XMLCite \textit{J. Sun} et al., Found. Comput. Math. 18, No. 5, 1131--1198 (2018; Zbl 1401.94049) Full Text: DOI arXiv
Salahi, M.; Taati, A. An efficient algorithm for solving the generalized trust region subproblem. (English) Zbl 1393.90098 Comput. Appl. Math. 37, No. 1, 395-413 (2018). MSC: 90C26 90C20 PDFBibTeX XMLCite \textit{M. Salahi} and \textit{A. Taati}, Comput. Appl. Math. 37, No. 1, 395--413 (2018; Zbl 1393.90098) Full Text: DOI
Guan, Yu; Chu, Moody T.; Chu, Delin Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation. (English) Zbl 1397.65055 Linear Algebra Appl. 555, 53-69 (2018). MSC: 65F15 15A69 15A15 15A09 15A23 PDFBibTeX XMLCite \textit{Y. Guan} et al., Linear Algebra Appl. 555, 53--69 (2018; Zbl 1397.65055) 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
Zhang, Leihong; Yang, Weihong; Shen, Chungen; Feng, Jiang Error bounds of Lanczos approach for trust-region subproblem. (English) Zbl 1392.90088 Front. Math. China 13, No. 2, 459-481 (2018). MSC: 90C20 90C06 65F10 65F15 65F35 PDFBibTeX XMLCite \textit{L. Zhang} et al., Front. Math. China 13, No. 2, 459--481 (2018; Zbl 1392.90088) Full Text: DOI
Guan, Yu; Chu, Moody T.; Chu, Delin SVD-based algorithms for the best rank-1 approximation of a symmetric tensor. (English) Zbl 1451.65055 SIAM J. Matrix Anal. Appl. 39, No. 3, 1095-1115 (2018). MSC: 65F55 15A69 PDFBibTeX XMLCite \textit{Y. Guan} et al., SIAM J. Matrix Anal. Appl. 39, No. 3, 1095--1115 (2018; Zbl 1451.65055) Full Text: DOI
Yamada, Shinji; Takeda, Akiko Successive Lagrangian relaxation algorithm for nonconvex quadratic optimization. (English) Zbl 1402.90112 J. Glob. Optim. 71, No. 2, 313-339 (2018). MSC: 90C20 90C26 PDFBibTeX XMLCite \textit{S. Yamada} and \textit{A. Takeda}, J. Glob. Optim. 71, No. 2, 313--339 (2018; Zbl 1402.90112) Full Text: DOI