Amini, Keyvan; Rashidi, Mehri On determining radius in nonmonotone trust-region approaches. (English) Zbl 07814818 J. Math. Model. 11, No. 3, 507-526 (2023). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{K. Amini} and \textit{M. Rashidi}, J. Math. Model. 11, No. 3, 507--526 (2023; Zbl 07814818) Full Text: DOI
Ramirez, Lennin Mallma; Maculan, Nelson; Xavier, Adilson Elias; Xavier, Vinicius Layter Dislocation hyperbolic augmented Lagrangian algorithm for nonconvex optimization. (English) Zbl 07792471 RAIRO, Oper. Res. 57, No. 5, 2941-2950 (2023). MSC: 90C30 90C26 65K05 49M37 PDFBibTeX XMLCite \textit{L. M. Ramirez} et al., RAIRO, Oper. Res. 57, No. 5, 2941--2950 (2023; Zbl 07792471) Full Text: DOI
Niehüser, Alexander; Mosler, Jörn Numerically efficient and robust Interior-point algorithm for finite strain rate-independent crystal plasticity. (English) Zbl 07761349 Comput. Methods Appl. Mech. Eng. 416, Article ID 116392, 23 p. (2023). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{A. Niehüser} and \textit{J. Mosler}, Comput. Methods Appl. Mech. Eng. 416, Article ID 116392, 23 p. (2023; Zbl 07761349) Full Text: DOI
Sun, Shigeng; Nocedal, Jorge A trust region method for noisy unconstrained optimization. (English) Zbl 1526.65023 Math. Program. 202, No. 1-2 (A), 445-472 (2023). MSC: 65K05 65Y20 90C30 PDFBibTeX XMLCite \textit{S. Sun} and \textit{J. Nocedal}, Math. Program. 202, No. 1--2 (A), 445--472 (2023; Zbl 1526.65023) Full Text: DOI arXiv
Liu, Qiaohua; Zhang, Qian; Xu, Xiangjian Accuracy and stability of quaternion Gaussian elimination. (English) Zbl 07751246 Numer. Algorithms 94, No. 3, 1159-1183 (2023). MSC: 65F50 65F05 PDFBibTeX XMLCite \textit{Q. Liu} et al., Numer. Algorithms 94, No. 3, 1159--1183 (2023; Zbl 07751246) Full Text: DOI
Gratton, Serge; Kopaničáková, Alena; Toint, Philippe L. Multilevel objective-function-free optimization with an application to neural networks training. (English) Zbl 1522.90201 SIAM J. Optim. 33, No. 4, 2772-2800 (2023). MSC: 90C30 65K05 90C26 90C06 65M55 68T07 PDFBibTeX XMLCite \textit{S. Gratton} et al., SIAM J. Optim. 33, No. 4, 2772--2800 (2023; Zbl 1522.90201) Full Text: DOI arXiv
Mishchenko, Konstantin Regularized Newton method with global \(\mathcal{O}(1/k^2)\) convergence. (English) Zbl 1520.65041 SIAM J. Optim. 33, No. 3, 1440-1462 (2023). MSC: 65K05 90C53 PDFBibTeX XMLCite \textit{K. Mishchenko}, SIAM J. Optim. 33, No. 3, 1440--1462 (2023; Zbl 1520.65041) Full Text: DOI arXiv
Pei, Yonggang; Song, Shaofang; Zhu, Detong A filter sequential adaptive cubic regularization algorithm for nonlinear constrained optimization. (English) Zbl 07720452 Numer. Algorithms 93, No. 4, 1481-1507 (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{Y. Pei} et al., Numer. Algorithms 93, No. 4, 1481--1507 (2023; Zbl 07720452) Full Text: DOI
Li, Lin; Wang, Li-Lian; Li, Huiyuan An efficient spectral trust-region deflation method for multiple solutions. (English) Zbl 1516.65146 J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023). MSC: 65N35 65N22 65H10 65D05 65L10 42C10 PDFBibTeX XMLCite \textit{L. Li} et al., J. Sci. Comput. 95, No. 1, Paper No. 32, 23 p. (2023; Zbl 1516.65146) Full Text: DOI arXiv
Han, Huan; Wang, Zhengping 3D diffeomorphic image registration with Cauchy-Riemann constraint and lower bounded deformation divergence. (English) Zbl 1515.65075 ESAIM, Math. Model. Numer. Anal. 57, No. 1, 299-328 (2023). MSC: 65F10 65M12 65M55 94A08 PDFBibTeX XMLCite \textit{H. Han} and \textit{Z. Wang}, ESAIM, Math. Model. Numer. Anal. 57, No. 1, 299--328 (2023; Zbl 1515.65075) Full Text: DOI
Pei, Yonggang; Song, Shaofang; Zhu, Detong A sequential adaptive regularisation using cubics algorithm for solving nonlinear equality constrained optimization. (English) Zbl 1517.90145 Comput. Optim. Appl. 84, No. 3, 1005-1033 (2023). MSC: 90C30 49M37 65K05 65K10 PDFBibTeX XMLCite \textit{Y. Pei} et al., Comput. Optim. Appl. 84, No. 3, 1005--1033 (2023; Zbl 1517.90145) 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
Dvurechensky, Pavel; Kamzolov, Dmitry; Lukashevich, Aleksandr; Lee, Soomin; Ordentlich, Erik; Uribe, César A.; Gasnikov, Alexander Hyperfast second-order local solvers for efficient statistically preconditioned distributed optimization. (English) Zbl 07711264 EURO J. Comput. Optim. 10, Article ID 100045, 35 p. (2022). MSC: 90C15 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{P. Dvurechensky} et al., EURO J. Comput. Optim. 10, Article ID 100045, 35 p. (2022; Zbl 07711264) Full Text: DOI arXiv
Bellavia, S.; Gurioli, G.; Morini, B.; Toint, Ph. L. Trust-region algorithms: probabilistic complexity and intrinsic noise with applications to subsampling techniques. (English) Zbl 07711262 EURO J. Comput. Optim. 10, Article ID 100043, 37 p. (2022). MSC: 90C30 90C26 90C59 65K05 PDFBibTeX XMLCite \textit{S. Bellavia} et al., EURO J. Comput. Optim. 10, Article ID 100043, 37 p. (2022; Zbl 07711262) Full Text: DOI arXiv
Balasubramanian, Krishnakumar; Ghadimi, Saeed Zeroth-order nonconvex stochastic optimization: handling constraints, high dimensionality, and saddle points. (English) Zbl 1516.90056 Found. Comput. Math. 22, No. 1, 35-76 (2022). MSC: 90C26 90C15 90C56 49M15 65K05 PDFBibTeX XMLCite \textit{K. Balasubramanian} and \textit{S. Ghadimi}, Found. Comput. Math. 22, No. 1, 35--76 (2022; Zbl 1516.90056) Full Text: DOI arXiv
Gusmeroli, Nicolò; Hrga, Timotej; Lužar, Borut; Povh, Janez; Siebenhofer, Melanie; Wiegele, Angelika BiqBin: a parallel branch-and-bound solver for binary quadratic problems with linear constraints. (English) Zbl 07666973 ACM Trans. Math. Softw. 48, No. 2, Paper No. 15, 31 p. (2022). MSC: 65-XX PDFBibTeX XMLCite \textit{N. Gusmeroli} et al., ACM Trans. Math. Softw. 48, No. 2, Paper No. 15, 31 p. (2022; Zbl 07666973) Full Text: DOI arXiv
Ahmadzadeh, Hani; Mahdavi-Amiri, Nezam A competitive inexact nonmonotone filter SQP method: convergence analysis and numerical results. (English) Zbl 1509.90194 Optim. Methods Softw. 37, No. 4, 1310-1343 (2022). MSC: 90C30 90C55 65K05 65K10 65K15 PDFBibTeX XMLCite \textit{H. Ahmadzadeh} and \textit{N. Mahdavi-Amiri}, Optim. Methods Softw. 37, No. 4, 1310--1343 (2022; Zbl 1509.90194) Full Text: DOI
Kanzow, Christian; Karl, Veronika; Steck, Daniel Daniel; Wachsmuth Safeguarded augmented Lagrangian methods in Banach spaces. (English) Zbl 1507.90189 Hintermüller, Michael (ed.) et al., Non-smooth and complementarity-based distributed parameter systems. Simulation and hierarchical optimization. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 172, 241-282 (2022). MSC: 90C48 65K10 PDFBibTeX XMLCite \textit{C. Kanzow} et al., ISNM, Int. Ser. Numer. Math. 172, 241--282 (2022; Zbl 1507.90189) Full Text: DOI
Chen, Liang; Zhu, Junyuan; Zhao, Xinyuan Unified convergence analysis of a second-order method of multipliers for nonlinear conic programming. (English) Zbl 1518.65064 Sci. China, Math. 65, No. 11, 2397-2422 (2022). MSC: 65K05 49J52 90C22 26E25 PDFBibTeX XMLCite \textit{L. Chen} et al., Sci. China, Math. 65, No. 11, 2397--2422 (2022; Zbl 1518.65064) Full Text: DOI arXiv
Amaral, V. S.; Andreani, R.; Birgin, E. G.; Marcondes, D. S.; Martínez, J. M. On complexity and convergence of high-order coordinate descent algorithms for smooth nonconvex box-constrained minimization. (English) Zbl 1504.90147 J. Glob. Optim. 84, No. 3, 527-561 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{V. S. Amaral} et al., J. Glob. Optim. 84, No. 3, 527--561 (2022; Zbl 1504.90147) Full Text: DOI arXiv
Hough, Matthew; Roberts, Lindon Model-based derivative-free methods for convex-constrained optimization. (English) Zbl 1506.65076 SIAM J. Optim. 32, No. 4, 2552-2579 (2022). MSC: 65K05 90C30 90C56 PDFBibTeX XMLCite \textit{M. Hough} and \textit{L. Roberts}, SIAM J. Optim. 32, No. 4, 2552--2579 (2022; Zbl 1506.65076) Full Text: DOI arXiv
S.-Z. Song, Shengzhong; Z.-D. Huang, Zhengda A two-parameter shift-splitting preconditioner for saddle point problems. (English) Zbl 1524.65151 Comput. Math. Appl. 124, 7-20 (2022). MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{S. S. -Z. Song} and \textit{Z. Z. -D. Huang}, Comput. Math. Appl. 124, 7--20 (2022; Zbl 1524.65151) Full Text: DOI
Birgin, E. G.; Bueno, L. F.; Martínez, J. M. On the complexity of solving feasibility problems with regularized models. (English) Zbl 1501.90092 Optim. Methods Softw. 37, No. 2, 405-424 (2022). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Optim. Methods Softw. 37, No. 2, 405--424 (2022; Zbl 1501.90092) Full Text: DOI
Prado, Renan W.; Santos, Sandra A.; Simões, Lucas E. A. On the convergence analysis of a penalty algorithm for nonsmooth optimization and its performance for solving hard-sphere problems. (English) Zbl 1500.65032 Numer. Algorithms 91, No. 2, 933-957 (2022). MSC: 65K05 90C26 90C56 90C46 PDFBibTeX XMLCite \textit{R. W. Prado} et al., Numer. Algorithms 91, No. 2, 933--957 (2022; Zbl 1500.65032) Full Text: DOI
Jian, Jinbao; Tang, Chunming; Hu, Qingjie; Han, Daolan A sequential quadratic programming algorithm without a penalty function, a filter or a constraint qualification for inequality constrained optimization. (English) Zbl 1489.90213 Optimization 71, No. 6, 1603-1635 (2022). MSC: 90C55 90C30 65K05 PDFBibTeX XMLCite \textit{J. Jian} et al., Optimization 71, No. 6, 1603--1635 (2022; Zbl 1489.90213) Full Text: DOI
Higham, Nicholas J.; Mikaitis, Mantas Anymatrix: an extensible MATLAB matrix collection. (English) Zbl 1492.65002 Numer. Algorithms 90, No. 3, 1175-1196 (2022). MSC: 65-04 65Fxx 15-04 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{M. Mikaitis}, Numer. Algorithms 90, No. 3, 1175--1196 (2022; Zbl 1492.65002) Full Text: DOI
Cristofari, Andrea; DiPillo, Gianni; Liuzzi, Giampaolo; Lucidi, Stefano An augmented Lagrangian method exploiting an active-set strategy and second-order information. (English) Zbl 1492.90170 J. Optim. Theory Appl. 193, No. 1-3, 300-323 (2022). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{A. Cristofari} et al., J. Optim. Theory Appl. 193, No. 1--3, 300--323 (2022; Zbl 1492.90170) Full Text: DOI arXiv
Rontsis, Nikitas; Goulart, Paul J.; Nakatsukasa, Yuji An active-set algorithm for norm constrained quadratic problems. (English) Zbl 1491.90132 Math. Program. 193, No. 1 (A), 447-483 (2022). MSC: 90C26 90C20 65F15 PDFBibTeX XMLCite \textit{N. Rontsis} et al., Math. Program. 193, No. 1 (A), 447--483 (2022; Zbl 1491.90132) Full Text: DOI arXiv
Kouri, Drew P.; Surowiec, Thomas M. A primal-dual algorithm for risk minimization. (English) Zbl 1500.90035 Math. Program. 193, No. 1 (A), 337-363 (2022). MSC: 90C15 65K10 93E20 PDFBibTeX XMLCite \textit{D. P. Kouri} and \textit{T. M. Surowiec}, Math. Program. 193, No. 1 (A), 337--363 (2022; Zbl 1500.90035) Full Text: DOI
Taherian, A.; Toutounian, F. Preconditioned global GPBiCG method for solving saddle point problems with multiple right-hand sides and its convergence analysis. (English) Zbl 1482.65056 Iran. J. Numer. Anal. Optim. 12, No. 1, 111-129 (2022). MSC: 65F10 65F08 PDFBibTeX XMLCite \textit{A. Taherian} and \textit{F. Toutounian}, Iran. J. Numer. Anal. Optim. 12, No. 1, 111--129 (2022; Zbl 1482.65056) Full Text: DOI
Ke, Yifen; Ma, Changfeng Modified alternating positive semidefinite splitting preconditioner for time-harmonic eddy current models. (English) Zbl 1499.65106 J. Comput. Math. 39, No. 5, 733-754 (2021). MSC: 65F08 65F10 65N22 PDFBibTeX XMLCite \textit{Y. Ke} and \textit{C. Ma}, J. Comput. Math. 39, No. 5, 733--754 (2021; Zbl 1499.65106) Full Text: DOI
Ploskas, Nikolaos; Sahinidis, Nikolaos V.; Samaras, Nikolaos A triangulation and fill-reducing initialization procedure for the simplex algorithm. (English) Zbl 1477.90038 Math. Program. Comput. 13, No. 3, 491-508 (2021). MSC: 90C05 90C06 65K05 PDFBibTeX XMLCite \textit{N. Ploskas} et al., Math. Program. Comput. 13, No. 3, 491--508 (2021; Zbl 1477.90038) Full Text: DOI
Song, Chaobing; Jiang, Yong; Ma, Yi Unified acceleration of high-order algorithms under general Hölder continuity. (English) Zbl 1483.65100 SIAM J. Optim. 31, No. 3, 1797-1826 (2021). MSC: 65K05 68Q25 90C25 90C30 65Y20 PDFBibTeX XMLCite \textit{C. Song} et al., SIAM J. Optim. 31, No. 3, 1797--1826 (2021; Zbl 1483.65100) Full Text: DOI
Jirakitpuwapat, Wachirapong; Kumam, Poom; Khammahawong, Konrawut; Dhompongsa, Sompong A practical approach to optimization. (English) Zbl 1474.46123 J. Nonlinear Anal. Optim. 12, No. 1, 13-20 (2021). MSC: 46N10 49M37 65K05 PDFBibTeX XMLCite \textit{W. Jirakitpuwapat} et al., J. Nonlinear Anal. Optim. 12, No. 1, 13--20 (2021; Zbl 1474.46123) Full Text: arXiv Link
Dostál, Zdeněk; Vlach, Oldřich An accelerated augmented Lagrangian algorithm with adaptive orthogonalization strategy for bound and equality constrained quadratic programming and its application to large-scale contact problems of elasticity. (English) Zbl 1469.90101 J. Comput. Appl. Math. 394, Article ID 113565, 10 p. (2021). MSC: 90C20 65K05 PDFBibTeX XMLCite \textit{Z. Dostál} and \textit{O. Vlach}, J. Comput. Appl. Math. 394, Article ID 113565, 10 p. (2021; Zbl 1469.90101) Full Text: DOI
Berahas, Albert S.; Curtis, Frank E.; Robinson, Daniel; Zhou, Baoyu Sequential quadratic optimization for nonlinear equality constrained stochastic optimization. (English) Zbl 1469.90134 SIAM J. Optim. 31, No. 2, 1352-1379 (2021). MSC: 90C30 90C55 65K05 65K10 90C15 PDFBibTeX XMLCite \textit{A. S. Berahas} et al., SIAM J. Optim. 31, No. 2, 1352--1379 (2021; Zbl 1469.90134) Full Text: DOI arXiv
Chen, X.; Toint, Ph. L. High-order evaluation complexity for convexly-constrained optimization with non-Lipschitzian group sparsity terms. (English) Zbl 1465.90095 Math. Program. 187, No. 1-2 (A), 47-78 (2021). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{Ph. L. Toint}, Math. Program. 187, No. 1--2 (A), 47--78 (2021; Zbl 1465.90095) Full Text: DOI arXiv
Nesterov, Yurii Implementable tensor methods in unconstrained convex optimization. (English) Zbl 1459.90157 Math. Program. 186, No. 1-2 (A), 157-183 (2021). MSC: 90C25 90C06 65K05 PDFBibTeX XMLCite \textit{Y. Nesterov}, Math. Program. 186, No. 1--2 (A), 157--183 (2021; Zbl 1459.90157) Full Text: DOI
Jiang, Xiaowei; Yang, Yueting; Lu, Yunlong; Cao, Mingyuan Flattened aggregate function method for nonlinear programming with many complicated constraints. (English) Zbl 1457.90154 Numer. Algorithms 86, No. 1, 103-122 (2021). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{X. Jiang} et al., Numer. Algorithms 86, No. 1, 103--122 (2021; Zbl 1457.90154) Full Text: DOI
Pearson, John W.; Pestana, Jennifer Preconditioners for Krylov subspace methods: an overview. (English) Zbl 07784224 GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020). MSC: 65Fxx 65Nxx 35Jxx PDFBibTeX XMLCite \textit{J. W. Pearson} and \textit{J. Pestana}, GAMM-Mitt. 43, No. 4, Article ID e202000015, 35 p. (2020; Zbl 07784224) Full Text: DOI OA License
Madani, Ramtin; Kheirandishfard, Mohsen; Lavaei, Javad; Atamtürk, Alper Penalized semidefinite programming for quadratically-constrained quadratic optimization. (English) Zbl 1462.65068 J. Glob. Optim. 78, No. 3, 423-451 (2020). MSC: 65K05 90C26 90C22 PDFBibTeX XMLCite \textit{R. Madani} et al., J. Glob. Optim. 78, No. 3, 423--451 (2020; Zbl 1462.65068) Full Text: DOI arXiv
Birgin, E. G.; Martínez, J. M. Complexity and performance of an augmented Lagrangian algorithm. (English) Zbl 1464.90094 Optim. Methods Softw. 35, No. 5, 885-920 (2020). MSC: 90C30 65K05 49M37 90C60 68Q25 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Optim. Methods Softw. 35, No. 5, 885--920 (2020; Zbl 1464.90094) Full Text: DOI arXiv
Drmač, Zlatko; Mezić, Igor; Mohr, Ryan On least squares problems with certain Vandermonde-Khatri-Rao structure with applications to DMD. (English) Zbl 1452.65086 SIAM J. Sci. Comput. 42, No. 5, A3250-A3284 (2020). MSC: 65F99 15A23 65F20 65F35 65P99 PDFBibTeX XMLCite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 42, No. 5, A3250--A3284 (2020; Zbl 1452.65086) Full Text: DOI arXiv
Hallak, Nadav; Teboulle, Marc Finding second-order stationary points in constrained minimization: a feasible direction approach. (English) Zbl 1450.90034 J. Optim. Theory Appl. 186, No. 2, 480-503 (2020). MSC: 90C26 90C30 65K05 90C46 90C31 PDFBibTeX XMLCite \textit{N. Hallak} and \textit{M. Teboulle}, J. Optim. Theory Appl. 186, No. 2, 480--503 (2020; Zbl 1450.90034) Full Text: DOI
Badahmane, A.; Bentbib, A. H.; Sadok, H. Preconditioned Krylov subspace and GMRHSS iteration methods for solving the nonsymmetric saddle point problems. (English) Zbl 1452.65055 Numer. Algorithms 84, No. 4, 1295-1312 (2020). MSC: 65F10 65F08 65F50 65N22 PDFBibTeX XMLCite \textit{A. Badahmane} et al., Numer. Algorithms 84, No. 4, 1295--1312 (2020; Zbl 1452.65055) Full Text: DOI
Wu, C. W.; Cao, J. P.; Wang, L. F. Convergence analysis of a trust-region multidimensional filter method for nonlinear complementarity problems. (English) Zbl 1459.90214 Math. Probl. Eng. 2020, Article ID 2539196, 9 p. (2020). MSC: 90C33 90C55 65K05 PDFBibTeX XMLCite \textit{C. W. Wu} et al., Math. Probl. Eng. 2020, Article ID 2539196, 9 p. (2020; Zbl 1459.90214) Full Text: DOI
Gill, Philip E.; Kungurtsev, Vyacheslav; Robinson, Daniel P. A shifted primal-dual penalty-barrier method for nonlinear optimization. (English) Zbl 1436.49018 SIAM J. Optim. 30, No. 2, 1067-1093 (2020). MSC: 49J45 49M37 65F05 65K05 90C30 PDFBibTeX XMLCite \textit{P. E. Gill} et al., SIAM J. Optim. 30, No. 2, 1067--1093 (2020; Zbl 1436.49018) Full Text: DOI
Bettiol, Enrico; Létocart, Lucas; Rinaldi, Francesco; Traversi, Emiliano A conjugate direction based simplicial decomposition framework for solving a specific class of dense convex quadratic programs. (English) Zbl 1432.90099 Comput. Optim. Appl. 75, No. 2, 321-360 (2020). MSC: 90C20 65K05 90C25 PDFBibTeX XMLCite \textit{E. Bettiol} et al., Comput. Optim. Appl. 75, No. 2, 321--360 (2020; Zbl 1432.90099) Full Text: DOI
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. Sharp worst-case evaluation complexity bounds for arbitrary-order nonconvex optimization with inexpensive constraints. (English) Zbl 1437.90128 SIAM J. Optim. 30, No. 1, 513-541 (2020). MSC: 90C26 90C60 68Q25 65K05 49M37 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Optim. 30, No. 1, 513--541 (2020; Zbl 1437.90128) Full Text: DOI arXiv
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
Birgin, E. G.; Krejić, N.; Martínez, J. M. Iteration and evaluation complexity for the minimization of functions whose computation is intrinsically inexact. (English) Zbl 1461.65130 Math. Comput. 89, No. 321, 253-278 (2020). MSC: 65K05 65K10 90C30 90C90 PDFBibTeX XMLCite \textit{E. G. Birgin} et al., Math. Comput. 89, No. 321, 253--278 (2020; Zbl 1461.65130) Full Text: DOI
Englert, Tobias; Völz, Andreas; Mesmer, Felix; Rhein, Sönke; Graichen, Knut A software framework for embedded nonlinear model predictive control using a gradient-based augmented Lagrangian approach (GRAMPC). (English) Zbl 07123819 Optim. Eng. 20, No. 3, 769-809 (2019). MSC: 65Kxx 35Kxx 35Jxx 65Nxx 65Mxx 35K15 65M60 65K05 65N30 35J25 PDFBibTeX XMLCite \textit{T. Englert} et al., Optim. Eng. 20, No. 3, 769--809 (2019; Zbl 07123819) Full Text: DOI arXiv
Lee, Jae Hwa; Jung, Yoon Mo; Yuan, Ya-xiang; Yun, Sangwoon A subspace SQP method for equality constrained optimization. (English) Zbl 1427.90264 Comput. Optim. Appl. 74, No. 1, 177-194 (2019). MSC: 90C30 90C55 90C06 65K05 PDFBibTeX XMLCite \textit{J. H. Lee} et al., Comput. Optim. Appl. 74, No. 1, 177--194 (2019; Zbl 1427.90264) Full Text: DOI
Greif, Chen; Wathen, Michael Conjugate gradient for nonsingular saddle-point systems with a maximally rank-deficient leading block. (English) Zbl 1419.65107 J. Comput. Appl. Math. 358, 1-11 (2019). MSC: 65N30 65F08 65F10 65F35 65F50 PDFBibTeX XMLCite \textit{C. Greif} and \textit{M. Wathen}, J. Comput. Appl. Math. 358, 1--11 (2019; Zbl 1419.65107) Full Text: DOI
Armand, Paul; Tran, Ngoc Nguyen An augmented Lagrangian method for equality constrained optimization with rapid infeasibility detection capabilities. (English) Zbl 1414.90323 J. Optim. Theory Appl. 181, No. 1, 197-215 (2019). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{P. Armand} and \textit{N. N. Tran}, J. Optim. Theory Appl. 181, No. 1, 197--215 (2019; Zbl 1414.90323) Full Text: DOI HAL
Ahookhosh, Masoud; Neumaier, Arnold An optimal subgradient algorithm with subspace search for costly convex optimization problems. (English) Zbl 1412.90105 Bull. Iran. Math. Soc. 45, No. 3, 883-910 (2019). MSC: 90C25 90C60 49M37 65K05 68Q25 PDFBibTeX XMLCite \textit{M. Ahookhosh} and \textit{A. Neumaier}, Bull. Iran. Math. Soc. 45, No. 3, 883--910 (2019; Zbl 1412.90105) Full Text: DOI
Chen, Xiaojun; Toint, Ph. L.; Wang, H. Complexity of partially separable convexly constrained optimization with non-Lipschitzian singularities. (English) Zbl 1411.90318 SIAM J. Optim. 29, No. 1, 874-903 (2019). MSC: 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{X. Chen} et al., SIAM J. Optim. 29, No. 1, 874--903 (2019; Zbl 1411.90318) Full Text: DOI arXiv
Gilles, Marc Aurèle; Townsend, Alex Continuous analogues of Krylov subspace methods for differential operators. (English) Zbl 1411.65047 SIAM J. Numer. Anal. 57, No. 2, 899-924 (2019). MSC: 65F10 65N35 47E05 PDFBibTeX XMLCite \textit{M. A. Gilles} and \textit{A. Townsend}, SIAM J. Numer. Anal. 57, No. 2, 899--924 (2019; Zbl 1411.65047) Full Text: DOI arXiv
Youett, Jonathan; Sander, Oliver; Kornhuber, Ralf A globally convergent filter-trust-region method for large deformation contact problems. (English) Zbl 1414.65045 SIAM J. Sci. Comput. 41, No. 1, B114-B138 (2019). Reviewer: Marius Ghergu (Dublin) MSC: 65N55 65K15 65N30 65N12 74B20 74M15 PDFBibTeX XMLCite \textit{J. Youett} et al., SIAM J. Sci. Comput. 41, No. 1, B114--B138 (2019; Zbl 1414.65045) 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
Caliciotti, Andrea; Fasano, Giovanni; Nash, Stephen G.; Roma, Massimo An adaptive truncation criterion, for linesearch-based truncated Newton methods in large scale nonconvex optimization. (English) Zbl 1525.90267 Oper. Res. Lett. 46, No. 1, 7-12 (2018). MSC: 90C06 90C26 90C52 90C30 65K05 PDFBibTeX XMLCite \textit{A. Caliciotti} et al., Oper. Res. Lett. 46, No. 1, 7--12 (2018; Zbl 1525.90267) Full Text: DOI Link
Gao, Jing; Cao, Jian; Yang, Yueting A derivative-free trust region algorithm with nonmonotone filter technique for bound constrained optimization. (English) Zbl 1427.90295 Math. Probl. Eng. 2018, Article ID 5049027, 13 p. (2018). MSC: 90C55 90C30 65K05 PDFBibTeX XMLCite \textit{J. Gao} et al., Math. Probl. Eng. 2018, Article ID 5049027, 13 p. (2018; Zbl 1427.90295) Full Text: DOI
Eustaquio, Rodrigo G.; Ribeiro, Ademir A.; Dumett, Miguel A. A new class of root-finding methods in \({\mathbb {R}}^n\): the inexact tensor-free Chebyshev-Halley class. (English) Zbl 1424.65082 Comput. Appl. Math. 37, No. 5, 6654-6675 (2018). MSC: 65K05 65H10 90C30 PDFBibTeX XMLCite \textit{R. G. Eustaquio} et al., Comput. Appl. Math. 37, No. 5, 6654--6675 (2018; Zbl 1424.65082) Full Text: DOI
Mitrouli, Marilena; Turek, Ondrej Determinantal properties of generalized circulant Hadamard matrices. (English) Zbl 1405.65037 Electron. J. Linear Algebra 34, 639-651 (2018). MSC: 65F05 15A15 65F40 65G50 05B20 PDFBibTeX XMLCite \textit{M. Mitrouli} and \textit{O. Turek}, Electron. J. Linear Algebra 34, 639--651 (2018; Zbl 1405.65037)
Li, Ming; Liu, Hongwei; Liu, Zexian A new subspace minimization conjugate gradient method with nonmonotone line search for unconstrained optimization. (English) Zbl 1395.90225 Numer. Algorithms 79, No. 1, 195-219 (2018). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{M. Li} et al., Numer. Algorithms 79, No. 1, 195--219 (2018; Zbl 1395.90225) Full Text: DOI
Ke, Yifen; Ma, Changfeng; Ren, Zhiru A new alternating positive semidefinite splitting preconditioner for saddle point problems from time-harmonic eddy current models. (English) Zbl 1398.65040 Front. Math. China 13, No. 2, 313-340 (2018). MSC: 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{Y. Ke} et al., Front. Math. China 13, No. 2, 313--340 (2018; Zbl 1398.65040) Full Text: DOI
Estrin, Ron; Greif, Chen SPMR: A family of saddle-point minimum residual solvers. (English) Zbl 1448.65022 SIAM J. Sci. Comput. 40, No. 3, A1884-A1914 (2018). MSC: 65F10 65F08 65F25 65F50 15A06 15A18 PDFBibTeX XMLCite \textit{R. Estrin} and \textit{C. Greif}, SIAM J. Sci. Comput. 40, No. 3, A1884--A1914 (2018; Zbl 1448.65022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{N. Amaioua} et al., Eur. J. Oper. Res. 268, No. 1, 13--24 (2018; Zbl 1403.90618) Full Text: DOI
Li, Dan; Zhu, Detong An affine scaling interior trust-region method combining with line search filter technique for optimization subject to bounds on variables. (English) Zbl 1387.49048 Numer. Algorithms 77, No. 4, 1159-1182 (2018). MSC: 49M37 65K05 90C30 PDFBibTeX XMLCite \textit{D. Li} and \textit{D. Zhu}, Numer. Algorithms 77, No. 4, 1159--1182 (2018; Zbl 1387.49048) Full Text: DOI
Lungten, Sangye; Schilders, Wil H. A.; Maubach, Joseph M. L. Threshold incomplete factorization constraint preconditioners for saddle-point matrices. (English) Zbl 1390.15045 Linear Algebra Appl. 545, 76-107 (2018). MSC: 15A23 65F05 65F50 PDFBibTeX XMLCite \textit{S. Lungten} et al., Linear Algebra Appl. 545, 76--107 (2018; Zbl 1390.15045) Full Text: DOI
Ke, Yi-Fen; Ma, Chang-Feng The dimensional splitting iteration methods for solving saddle point problems arising from time-harmonic eddy current models. (English) Zbl 1411.65049 Appl. Math. Comput. 303, 146-164 (2017). MSC: 65F10 65F08 65F50 65N22 65N30 78A25 78M10 PDFBibTeX XMLCite \textit{Y.-F. Ke} and \textit{C.-F. Ma}, Appl. Math. Comput. 303, 146--164 (2017; Zbl 1411.65049) Full Text: DOI
Owens, A. R.; Kópházi, J.; Eaton, M. D. Optimal trace inequality constants for interior penalty discontinuous Galerkin discretisations of elliptic operators using arbitrary elements with non-constant Jacobians. (English) Zbl 1380.65387 J. Comput. Phys. 350, 847-870 (2017). MSC: 65N30 PDFBibTeX XMLCite \textit{A. R. Owens} et al., J. Comput. Phys. 350, 847--870 (2017; Zbl 1380.65387) Full Text: DOI
Loghin, Daniel A note on constraint preconditioning. (English) Zbl 1379.65017 SIAM J. Matrix Anal. Appl. 38, No. 4, 1486-1495 (2017). MSC: 65F08 65F50 PDFBibTeX XMLCite \textit{D. Loghin}, SIAM J. Matrix Anal. Appl. 38, No. 4, 1486--1495 (2017; Zbl 1379.65017) Full Text: DOI
Armand, Paul; Omheni, Riadh A mixed logarithmic barrier-augmented Lagrangian method for nonlinear optimization. (English) Zbl 1370.49022 J. Optim. Theory Appl. 173, No. 2, 523-547 (2017). MSC: 49M15 65K05 90C06 90C30 90C51 PDFBibTeX XMLCite \textit{P. Armand} and \textit{R. Omheni}, J. Optim. Theory Appl. 173, No. 2, 523--547 (2017; Zbl 1370.49022) 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
Chen, Bin; Chen, Wen; Wei, Xing Identification of elastic orthotropic material parameters by the singular boundary method. (English) Zbl 1488.74066 Adv. Appl. Math. Mech. 8, No. 5, 810-826 (2016). MSC: 74G75 65N21 65N38 65K05 74S15 PDFBibTeX XMLCite \textit{B. Chen} et al., Adv. Appl. Math. Mech. 8, No. 5, 810--826 (2016; Zbl 1488.74066) Full Text: DOI
Mudunuru, M. K.; Nakshatrala, K. B. On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method. (English) Zbl 1349.65630 J. Comput. Phys. 305, 448-493 (2016). MSC: 65N30 65N12 PDFBibTeX XMLCite \textit{M. K. Mudunuru} and \textit{K. B. Nakshatrala}, J. Comput. Phys. 305, 448--493 (2016; Zbl 1349.65630) Full Text: DOI arXiv
Kanzow, Christian On the multiplier-penalty-approach for quasi-variational inequalities. (English) Zbl 1354.65141 Math. Program. 160, No. 1-2 (A), 33-63 (2016). Reviewer: Hans Benker (Merseburg) MSC: 65K15 90C33 49J40 PDFBibTeX XMLCite \textit{C. Kanzow}, Math. Program. 160, No. 1--2 (A), 33--63 (2016; Zbl 1354.65141) Full Text: DOI
Izmailov, A. F.; Solodov, M. V. Some new facts about sequential quadratic programming methods employing second derivatives. (English) Zbl 1349.90764 Optim. Methods Softw. 31, No. 6, 1111-1131 (2016). MSC: 90C30 90C33 90C55 65K05 PDFBibTeX XMLCite \textit{A. F. Izmailov} and \textit{M. V. Solodov}, Optim. Methods Softw. 31, No. 6, 1111--1131 (2016; Zbl 1349.90764) Full Text: DOI
Rump, Siegfried Michael Floating-point arithmetic on the test bench. How are verified numerical solutions calculated? (Gleitkommaarithmetik auf dem Prüfstand. Wie werden verifiziert(e) numerische Lösungen berechnet?) (German) Zbl 1372.65140 Jahresber. Dtsch. Math.-Ver. 118, No. 3, 179-226 (2016). MSC: 65G20 65G30 65Y04 PDFBibTeX XMLCite \textit{S. M. Rump}, Jahresber. Dtsch. Math.-Ver. 118, No. 3, 179--226 (2016; Zbl 1372.65140) Full Text: DOI
El-Sobky, Bothina An interior-point penalty active-set trust-region algorithm. (English) Zbl 1348.90571 J. Egypt. Math. Soc. 24, No. 4, 672-680 (2016). MSC: 90C30 90C55 65K05 49M37 PDFBibTeX XMLCite \textit{B. El-Sobky}, J. Egypt. Math. Soc. 24, No. 4, 672--680 (2016; Zbl 1348.90571) Full Text: DOI
Pestana, Jennifer; Rees, Tyrone Null-space preconditioners for saddle point systems. (English) Zbl 1347.65060 SIAM J. Matrix Anal. Appl. 37, No. 3, 1103-1128 (2016). MSC: 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{J. Pestana} and \textit{T. Rees}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1103--1128 (2016; Zbl 1347.65060) Full Text: DOI
Liu, Ya-Feng; Ma, Shiqian; Dai, Yu-Hong; Zhang, Shuzhong A smoothing SQP framework for a class of composite \(L_q\) minimization over polyhedron. (English) Zbl 1346.90684 Math. Program. 158, No. 1-2 (A), 467-500 (2016). MSC: 90C26 90C30 90C46 65K05 PDFBibTeX XMLCite \textit{Y.-F. Liu} et al., Math. Program. 158, No. 1--2 (A), 467--500 (2016; Zbl 1346.90684) Full Text: DOI arXiv
Szyld, Daniel B.; Xue, Fei Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I: Extreme eigenvalues. (English) Zbl 1344.65045 Math. Comput. 85, No. 302, 2887-2918 (2016). MSC: 65F15 65F08 PDFBibTeX XMLCite \textit{D. B. Szyld} and \textit{F. Xue}, Math. Comput. 85, No. 302, 2887--2918 (2016; Zbl 1344.65045) Full Text: DOI
Curtis, Frank E.; Gould, Nicholas I. M.; Jiang, Hao; Robinson, Daniel P. Adaptive augmented Lagrangian methods: algorithms and practical numerical experience. (English) Zbl 1339.49023 Optim. Methods Softw. 31, No. 1, 157-186 (2016). MSC: 49M05 49M15 49M29 49M37 65K05 65K10 90C06 90C30 93B40 93A15 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Optim. Methods Softw. 31, No. 1, 157--186 (2016; Zbl 1339.49023) Full Text: DOI arXiv
Gu, Chao; Zhu, Detong Convergence of a three-dimensional dwindling filter algorithm without feasibility restoration phase. (English) Zbl 1338.90392 Numer. Funct. Anal. Optim. 37, No. 3, 324-341 (2016). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{C. Gu} and \textit{D. Zhu}, Numer. Funct. Anal. Optim. 37, No. 3, 324--341 (2016; Zbl 1338.90392) Full Text: DOI
Qiu, Songqiang; Chen, Zhongwen A globally convergent penalty-free method for optimization with equality constraints and simple bounds. (English) Zbl 1338.90394 Acta Appl. Math. 142, No. 1, 39-60 (2016). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{S. Qiu} and \textit{Z. Chen}, Acta Appl. Math. 142, No. 1, 39--60 (2016; Zbl 1338.90394) Full Text: DOI
Echebest, Nélida; Sánchez, María Daniela; Schuverdt, María Laura Convergence results of an augmented Lagrangian method using the exponential penalty function. (English) Zbl 1332.65077 J. Optim. Theory Appl. 168, No. 1, 92-108 (2016). MSC: 65K05 90C30 49K99 PDFBibTeX XMLCite \textit{N. Echebest} et al., J. Optim. Theory Appl. 168, No. 1, 92--108 (2016; Zbl 1332.65077) Full Text: DOI
Chidyagwai, Prince; Ladenheim, Scott; Szyld, Daniel B. Constraint preconditioning for the coupled Stokes-Darcy system. (English) Zbl 1382.76162 SIAM J. Sci. Comput. 38, No. 2, A668-A690 (2016). MSC: 76M10 65F08 65N30 65N22 76S05 PDFBibTeX XMLCite \textit{P. Chidyagwai} et al., SIAM J. Sci. Comput. 38, No. 2, A668--A690 (2016; Zbl 1382.76162) Full Text: DOI
Heister, Timo; Wheeler, Mary F.; Wick, Thomas A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach. (English) Zbl 1423.76239 Comput. Methods Appl. Mech. Eng. 290, 466-495 (2015). MSC: 76M10 65K15 65N30 74R10 PDFBibTeX XMLCite \textit{T. Heister} et al., Comput. Methods Appl. Mech. Eng. 290, 466--495 (2015; Zbl 1423.76239) Full Text: DOI
Serban, Radu; Melanz, Daniel; Li, Ang; Stanciulescu, Ilinca; Jayakumar, Paramsothy; Negrut, Dan A GPU-based preconditioned Newton-Krylov solver for flexible multibody dynamics. (English) Zbl 1352.65369 Int. J. Numer. Methods Eng. 102, No. 9, 1585-1604 (2015). MSC: 65M60 65M22 65Y10 70E55 PDFBibTeX XMLCite \textit{R. Serban} et al., Int. J. Numer. Methods Eng. 102, No. 9, 1585--1604 (2015; Zbl 1352.65369) Full Text: DOI Link
Wang, Yiju; Caccetta, Louis; Zhou, Guanglu Convergence analysis of a block improvement method for polynomial optimization over unit spheres. (English) Zbl 1374.65105 Numer. Linear Algebra Appl. 22, No. 6, 1059-1076 (2015). MSC: 65K05 90C22 90C20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Numer. Linear Algebra Appl. 22, No. 6, 1059--1076 (2015; Zbl 1374.65105) Full Text: DOI
Wang, Xiao; Zhang, Hongchao An augmented Lagrangian affine scaling method for nonlinear programming. (English) Zbl 1328.90145 Optim. Methods Softw. 30, No. 5, 934-964 (2015). MSC: 90C30 65K05 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. Zhang}, Optim. Methods Softw. 30, No. 5, 934--964 (2015; Zbl 1328.90145) Full Text: DOI
Gould, Nicholas I. M.; Loh, Yueling; Robinson, Daniel P. A nonmonotone filter SQP method: local convergence and numerical results. (English) Zbl 1326.49042 SIAM J. Optim. 25, No. 3, 1885-1911 (2015). MSC: 49M05 49M15 90C55 65K05 65K10 90C30 90C26 PDFBibTeX XMLCite \textit{N. I. M. Gould} et al., SIAM J. Optim. 25, No. 3, 1885--1911 (2015; Zbl 1326.49042) Full Text: DOI Link
Robinson, Daniel P. Primal-dual active-set methods for large-scale optimization. (English) Zbl 1329.49055 J. Optim. Theory Appl. 166, No. 1, 137-171 (2015). Reviewer: Hans Benker (Merseburg) MSC: 49M37 49M29 65K05 65K10 90C06 90C26 90C30 90C55 PDFBibTeX XMLCite \textit{D. P. Robinson}, J. Optim. Theory Appl. 166, No. 1, 137--171 (2015; Zbl 1329.49055) Full Text: DOI
Zhu, Xiaojing A feasible filter method for the nearest low-rank correlation matrix problem. (English) Zbl 1354.65128 Numer. Algorithms 69, No. 4, 763-784 (2015). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C26 49M37 PDFBibTeX XMLCite \textit{X. Zhu}, Numer. Algorithms 69, No. 4, 763--784 (2015; Zbl 1354.65128) Full Text: DOI
Curtis, Frank E.; Jiang, Hao; Robinson, Daniel P. An adaptive augmented Lagrangian method for large-scale constrained optimization. (English) Zbl 1323.49015 Math. Program. 152, No. 1-2 (A), 201-245 (2015). Reviewer: Bülent Karasözen (Ankara) MSC: 49M05 49M29 49M37 65K05 65K10 90C06 90C30 93B40 PDFBibTeX XMLCite \textit{F. E. Curtis} et al., Math. Program. 152, No. 1--2 (A), 201--245 (2015; Zbl 1323.49015) Full Text: DOI
Estrin, Ron; Greif, Chen On nonsingular saddle-point systems with a maximally rank deficient leading block. (English) Zbl 1328.65075 SIAM J. Matrix Anal. Appl. 36, No. 2, 367-384 (2015). MSC: 65F08 65F10 65F50 PDFBibTeX XMLCite \textit{R. Estrin} and \textit{C. Greif}, SIAM J. Matrix Anal. Appl. 36, No. 2, 367--384 (2015; Zbl 1328.65075) Full Text: DOI Link
Liu, Hailiang; Cai, Wenli; Su, Ning Entropy satisfying schemes for computing selection dynamics in competitive interactions. (English) Zbl 1318.65085 SIAM J. Numer. Anal. 53, No. 3, 1393-1417 (2015). MSC: 65R20 45K05 92D25 92D15 65K05 90C20 PDFBibTeX XMLCite \textit{H. Liu} et al., SIAM J. Numer. Anal. 53, No. 3, 1393--1417 (2015; Zbl 1318.65085) Full Text: DOI Link
Cartis, Coralia; Gould, Nicholas I. M.; Toint, Philippe L. On the evaluation complexity of constrained nonlinear least-squares and general constrained nonlinear optimization using second-order methods. (English) Zbl 1329.65124 SIAM J. Numer. Anal. 53, No. 2, 836-851 (2015). MSC: 65K05 68Q25 90C26 90C30 90C60 PDFBibTeX XMLCite \textit{C. Cartis} et al., SIAM J. Numer. Anal. 53, No. 2, 836--851 (2015; Zbl 1329.65124) Full Text: DOI Link