Feng, Bo; Wu, Gang A block Lanczos method for large-scale quadratic minimization problems with orthogonality constraints. (English) Zbl 1535.65046 SIAM J. Sci. Comput. 46, No. 2, A884-A905 (2024). MSC: 65F15 65F10 65K05 90C06 90C20 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
De Marchi, Alberto Proximal gradient methods beyond monotony. (English) Zbl 07876109 J. Nonsmooth Anal. Optim. 4, Article ID 10290, 18 p. (2023). MSC: 90C26 49J52 65K05 90C52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Adil, Z.; Hussein, M. S.; Lesnic, D. Determination of time-dependent coefficients in moving boundary problems under nonlocal and heat moment observations. (English) Zbl 07881106 Int. J. Comput. Methods Eng. Sci. Mech. 22, No. 6, 500-513 (2021). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI OA License
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 × Cite Format Result Cite Review PDF Full Text: DOI HAL
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Jiang, Rujun; Li, Duan; Wu, Baiyi SOCP reformulation for the generalized trust region subproblem via a canonical form of two symmetric matrices. (English) Zbl 1390.90416 Math. Program. 169, No. 2 (A), 531-563 (2018). MSC: 90C20 90C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bruins, Marianne; Duffy, James A.; Keane, Michael P.; Smith, Anthony A. jun. Generalized indirect inference for discrete choice models. (English) Zbl 1452.62247 J. Econom. 205, No. 1, 177-203 (2018). MSC: 62G05 62G32 62G20 62P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amaioua, Nadir; Audet, Charles; Conn, Andrew R.; Le Digabel, Sébastien Efficient solution of quadratically constrained quadratic subproblems within the mesh adaptive direct search algorithm. (English) Zbl 1403.90618 Eur. J. Oper. Res. 268, No. 1, 13-24 (2018). MSC: 90C30 90C56 65K05 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza Complexity analysis of a trust funnel algorithm for equality constrained optimization. (English) Zbl 1391.49056 SIAM J. Optim. 28, No. 2, 1533-1563 (2018). MSC: 49M15 49M37 65K05 65K10 65Y20 68Q25 90C30 90C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lenders, Felix; Kirches, C.; Potschka, A. trlib: a vector-free implementation of the GLTR method for iterative solution of the trust region problem. (English) Zbl 1390.35364 Optim. Methods Softw. 33, No. 3, 420-449 (2018). MSC: 35Q90 65K05 90C20 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dussault, Jean-Pierre A note on robust descent in differentiable optimization. (English) Zbl 1409.90149 Oper. Res. Lett. 45, No. 5, 530-532 (2017). MSC: 90C26 90C55 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Guohua; Vink, Jeroen C.; Chen, Chaohui; El Khamra, Yaakoub; Tarrahi, Mohammadali Distributed Gauss-Newton optimization method for history matching problems with multiple best matches. (English) Zbl 1405.90126 Comput. Geosci. 21, No. 5-6, 1325-1342 (2017). MSC: 90C30 90C55 90C56 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Ho-Nguyen, Nam; Kilinç-Karzan, Fatma A second-order cone based approach for solving the trust-region subproblem and its variants. (English) Zbl 1370.90170 SIAM J. Optim. 27, No. 3, 1485-1512 (2017). MSC: 90C20 90C25 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Curtis, Frank E.; Robinson, Daniel P.; Samadi, Mohammadreza A trust region algorithm with a worst-case iteration complexity of \(\mathcal{O}(\epsilon ^{-3/2})\) for nonconvex optimization. (English) Zbl 1360.49020 Math. Program. 162, No. 1-2 (A), 1-32 (2017). MSC: 49M15 49M37 58C15 65K05 65K10 65Y20 68Q25 90C30 90C60 × Cite Format Result Cite Review PDF Full Text: DOI
Salahi, Maziar; Taati, Akram; Wolkowicz, Henry Local nonglobal minima for solving large-scale extended trust-region subproblems. (English) Zbl 1391.90496 Comput. Optim. Appl. 66, No. 2, 223-244 (2017). MSC: 90C26 90C30 90C46 65F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, QunYan; Sun, WenYu; Zhang, HongChao A new simple model trust-region method with generalized Barzilai-Borwein parameter for large-scale optimization. (English) Zbl 1369.65075 Sci. China, Math. 59, No. 11, 2265-2280 (2016). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C30 90C06 90C51 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Bernal, Francisco Trust-region methods for nonlinear elliptic equations with radial basis functions. (English) Zbl 1361.65092 Comput. Math. Appl. 72, No. 7, 1743-1763 (2016). MSC: 65N35 35J60 35J61 35J62 35J96 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hazan, Elad; Koren, Tomer A linear-time algorithm for trust region problems. (English) Zbl 1346.90654 Math. Program. 158, No. 1-2 (A), 363-381 (2016). MSC: 90C20 90C22 90C26 68W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Minoux, Michel; Zorgati, Riadh Convexity of Gaussian chance constraints and of related probability maximization problems. (English) Zbl 1342.65051 Comput. Stat. 31, No. 1, 387-408 (2016). MSC: 62-08 × Cite Format Result Cite Review PDF Full Text: DOI
Beck, Amir; Hallak, Nadav On the minimization over sparse symmetric sets: projections, optimality conditions, and algorithms. (English) Zbl 1334.90129 Math. Oper. Res. 41, No. 1, 196-223 (2016). MSC: 90C26 90C46 × Cite Format Result Cite Review PDF Full Text: DOI Link
Yang, Boshi; Burer, Samuel A two-variable approach to the two-trust-region subproblem. (English) Zbl 1333.90087 SIAM J. Optim. 26, No. 1, 661-680 (2016). MSC: 90C20 90C22 90C25 90C26 90C30 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Malyutina, Elena; Ponosov, Arcady; Wyller, John Numerical analysis of bump solutions for neural field equations with periodic microstructure. (English) Zbl 1410.92011 Appl. Math. Comput. 260, 370-384 (2015). MSC: 92B20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Powell, M. J. D. On fast trust region methods for quadratic models with linear constraints. (English) Zbl 1325.65084 Math. Program. Comput. 7, No. 3, 237-267 (2015). MSC: 65K05 90C20 90C26 90C51 90C56 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hicken, Jason E.; Dener, Alp A flexible iterative solver for nonconvex, equality-constrained quadratic subproblems. (English) Zbl 1319.49049 SIAM J. Sci. Comput. 37, No. 4, A1801-A1824 (2015). MSC: 49M37 49M29 49M15 49J20 65K05 65F10 90C06 90C30 90C55 × Cite Format Result Cite Review PDF Full Text: DOI Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Pong, Ting Kei; Wolkowicz, Henry The generalized trust region subproblem. (English) Zbl 1329.90100 Comput. Optim. Appl. 58, No. 2, 273-322 (2014). MSC: 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Pulkkinen, Seppo; Mäkelä, Marko M.; Karmitsa, Napsu A generative model and a generalized trust region Newton method for noise reduction. (English) Zbl 1306.62134 Comput. Optim. Appl. 57, No. 1, 129-165 (2014). Reviewer: Miguel Angel Goberna (Alicante) MSC: 62H25 62G07 62J07 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Hui; Li, Gaoming; Reynolds, Albert C.; Yao, Jun Large-scale history matching with quadratic interpolation models. (English) Zbl 1356.86020 Comput. Geosci. 17, No. 1, 117-138 (2013). MSC: 86A32 65D05 × Cite Format Result Cite Review PDF Full Text: DOI
Dreves, Axel; von Heusinger, Anna; Kanzow, Christian; Fukushima, Masao A globalized Newton method for the computation of normalized Nash equilibria. (English) Zbl 1273.91026 J. Glob. Optim. 56, No. 2, 327-340 (2013). MSC: 91A10 91-08 65H20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiao A trust region affine scaling method for bound constrained optimization. (English) Zbl 1268.65083 Acta Math. Sin., Engl. Ser. 29, No. 1, 159-182 (2013). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
El-Sobky, Bothina; Abo-Elnaga, Yousria; Zahed, Hanadi Utilization of trust region algorithm in solving reactive power compensation problem. (English) Zbl 1262.90081 Appl. Math. Sci., Ruse 6, No. 53-56, 2649-2667 (2012). MSC: 90B90 90C29 × Cite Format Result Cite Review PDF Full Text: Link
Feng, Joe-Mei; Lin, Gang-Xuan; Sheu, Reuy-Lin; Xia, Yong Duality and solutions for quadratic programming over single non-homogeneous quadratic constraint. (English) Zbl 1281.90032 J. Glob. Optim. 54, No. 2, 275-293 (2012). MSC: 90C20 90C26 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Bandeira, Michael Martin A. S.; Scheinberg, K.; Vicente, L. N. Computation of sparse low degree interpolating polynomials and their application to derivative-free optimization. (English) Zbl 1254.65072 Math. Program. 134, No. 1 (B), 223-257 (2012). MSC: 65K05 90C51 90C30 90C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Junxiang; Huo, Jiazhen Inexact smoothing method for large scale minimax optimization. (English) Zbl 1244.65082 Appl. Math. Comput. 218, No. 6, 2750-2760 (2011). Reviewer: Hans Benker (Merseburg) MSC: 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Iqbal, Z.; Syed, K. S.; Ishaq, M. Optimal convective heat transfer in double pipe with parabolic fins. (English) Zbl 1231.80017 Int. J. Heat Mass Transfer 54, No. 25-26, 5415-5426 (2011). MSC: 80A20 76D55 76M10 80M10 80M50 90C59 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Qinghua; Li, Yan; Ha, Minghu Constructing composite search directions with parameters in quadratic interpolation models. (English) Zbl 1230.90148 J. Glob. Optim. 51, No. 2, 313-324 (2011). MSC: 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, X. J.; Sun, X. L.; Li, D. Nonconvex quadratically constrained quadratic programming: Best D.C. Decompositions and their SDP representations. (English) Zbl 1254.90151 J. Glob. Optim. 50, No. 4, 695-712 (2011). MSC: 90C20 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Niu, Lingfeng; Yuan, Yaxiang A new trust-region algorithm for nonlinear constrained optimization. (English) Zbl 1224.90170 J. Comput. Math. 28, No. 1, 72-86 (2010). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Jin, Qingwei; Fang, Shu-Cherng; Xing, Wenxun On the global optimality of generalized trust region subproblems. (English) Zbl 1203.90119 Optimization 59, No. 7-8, 1139-1151 (2010). MSC: 90C20 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Auslender, Alfred Computing points that satisfy second order necessary optimality conditions for unconstrained minimization. (English) Zbl 1229.90190 SIAM J. Optim. 20, No. 4, 1868-1884 (2010). Reviewer: Maxim Ivanov Todorov (San Andres Cholula) MSC: 90C30 90C26 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Wei; Chawla, Sanjay Mining adversarial patterns via regularized loss minimization. (English) Zbl 1470.68137 Mach. Learn. 81, No. 1, 69-83 (2010). MSC: 68T05 62H30 91A80 × Cite Format Result Cite Review PDF Full Text: DOI
Bienstock, Daniel Eigenvalue techniques for convex objective, nonconvex optimization problems. (English) Zbl 1285.90038 Eisenbrand, Friedrich (ed.) et al., Integer programming and combinatorial optimization. 14th international conference, IPCO 2010, Lausanne, Switzerland, June 9–11, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-13035-9/pbk). Lecture Notes in Computer Science 6080, 29-42 (2010). MSC: 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Bastin, Fabian; Malmedy, Vincent; Mouffe, Mélodie; Toint, Philippe L.; Tomanos, Dimitri A retrospective trust-region method for unconstrained optimization. (English) Zbl 1196.65101 Math. Program. 123, No. 2 (A), 395-418 (2010). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C51 × Cite Format Result Cite Review PDF Full Text: DOI
Jian, Jin-Bao; Tang, Chun-Ming; Zheng, Hai-Yan Sequential quadratically constrained quadratic programming norm-relaxed algorithm of strongly sub-feasible directions. (English) Zbl 1177.90307 Eur. J. Oper. Res. 200, No. 3, 645-657 (2010). MSC: 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Erway, Jennifer B.; Gill, Philip E. A subspace minimization method for the trust-region step. (English) Zbl 1195.49042 SIAM J. Optim. 20, No. 3, 1439-1461 (2009). MSC: 49M37 65F10 65K05 65K10 90C06 90C26 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Erway, Jennifer B.; Gill, Philip E.; Griffin, Joshua D. Iterative methods for finding a trust-region step. (English) Zbl 1189.49049 SIAM J. Optim. 20, No. 2, 1110-1131 (2009). MSC: 49M37 65F05 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI EuDML OA License
Beck, A. Convexity properties associated with nonconvex quadratic matrix functions and applications to quadratic programming. (English) Zbl 1188.90190 J. Optim. Theory Appl. 142, No. 1, 1-29 (2009). Reviewer: Stephan Dempe (Freiberg) MSC: 90C20 90C46 × Cite Format Result Cite Review PDF Full Text: DOI
Bar, Leah; Sapiro, Guillermo Generalized Newton-type methods for energy formulations in image processing. (English) Zbl 1179.35014 SIAM J. Imaging Sci. 2, No. 2, 508-531 (2009). MSC: 35A15 65K10 90C53 58C15 68M10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Beck, Amir; Teboulle, Marc; Chikishev, Zahar Iterative minimization schemes for solving the single source localization problem. (English) Zbl 1180.90242 SIAM J. Optim. 19, No. 3, 1397-1416 (2008). MSC: 90C26 90C22 90C90 × Cite Format Result Cite Review PDF Full Text: DOI
Reichel, Lothar; Shyshkov, Andriy A new zero-finder for Tikhonov regularization. (English) Zbl 1161.65029 BIT 48, No. 3, 627-643 (2008). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F22 65F20 × Cite Format Result Cite Review PDF Full Text: DOI
Mai-Duy, N.; Le-Cao, K.; Tran-Cong, T. A Cartesian grid technique based on one-dimensional integrated radial basis function networks for natural convection in concentric annuli. (English) Zbl 1262.76074 Int. J. Numer. Methods Fluids 57, No. 12, 1709-1730 (2008). MSC: 76M25 76R10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Gneushev, A. N. Construction and optimization of a texture-geometric model of a face image in the space of basic Gabor functions. (English. Russian original) Zbl 1301.94012 J. Comput. Syst. Sci. Int. 46, No. 3, 418-428 (2007); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2007, No. 3, 85-96 (2007). MSC: 94A08 42C15 × Cite Format Result Cite Review PDF Full Text: DOI
Beck, Amir On the convexity of a class of quadratic mappings and its application to the problem of finding the smallest ball enclosing a given intersection of balls. (English) Zbl 1151.90036 J. Glob. Optim. 39, No. 1, 113-126 (2007). MSC: 90C26 90C20 × Cite Format Result Cite Review PDF Full Text: DOI