Broms, Anna; Tornberg, Anna-Karin A barrier method for contact avoiding particles in Stokes flow. (English) Zbl 07811325 J. Comput. Phys. 497, Article ID 112648, 21 p. (2024). MSC: 76Txx 90Cxx 76Mxx PDFBibTeX XMLCite \textit{A. Broms} and \textit{A.-K. Tornberg}, J. Comput. Phys. 497, Article ID 112648, 21 p. (2024; Zbl 07811325) Full Text: DOI arXiv
Dai, Yu-Hong An overview of nonlinear optimization. (English) Zbl 07822594 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5290-5313 (2023). MSC: 90C30 65K05 90C06 PDFBibTeX XMLCite \textit{Y.-H. Dai}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 7. Sections 15--20. Berlin: European Mathematical Society (EMS). 5290--5313 (2023; Zbl 07822594) Full Text: DOI OA License
Schapira, Yaron; Radtke, Lars; Kollmannsberger, Stefan; Düster, Alexander Performance of acceleration techniques for staggered phase-field solutions. (English) Zbl 07737591 Comput. Methods Appl. Mech. Eng. 410, Article ID 116029, 25 p. (2023). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{Y. Schapira} et al., Comput. Methods Appl. Mech. Eng. 410, Article ID 116029, 25 p. (2023; Zbl 07737591) Full Text: DOI
Wang, Yunlong; Shen, Chungen; Zhang, Lei-Hong; Yang, Wei Hong Proximal gradient/semismooth Newton methods for projection onto a polyhedron via the duality-gap-active-set strategy. (English) Zbl 07730757 J. Sci. Comput. 97, No. 1, Paper No. 3, 34 p. (2023). MSC: 90C20 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 97, No. 1, Paper No. 3, 34 p. (2023; Zbl 07730757) Full Text: DOI
Kohl, Ryan; Corona, Eduardo; Cheruvu, Vani; Veerapaneni, Shravan Fast and accurate solvers for simulating Janus particle suspensions in Stokes flow. (English) Zbl 1527.65136 Adv. Comput. Math. 49, No. 4, Paper No. 45, 29 p. (2023). MSC: 65N38 65N80 76D07 76T20 35J05 PDFBibTeX XMLCite \textit{R. Kohl} et al., Adv. Comput. Math. 49, No. 4, Paper No. 45, 29 p. (2023; Zbl 1527.65136) Full Text: DOI arXiv
Li, Xinrui; Huang, Yakui A gradient method exploiting the two dimensional quadratic termination property. (English) Zbl 1527.90260 Optim. Lett. 17, No. 6, 1413-1434 (2023). MSC: 90C53 65K10 90C26 PDFBibTeX XMLCite \textit{X. Li} and \textit{Y. Huang}, Optim. Lett. 17, No. 6, 1413--1434 (2023; Zbl 1527.90260) Full Text: DOI arXiv
Yu, Teng-Teng; Liu, Xin-Wei; Dai, Yu-Hong; Sun, Jie A mini-batch proximal stochastic recursive gradient algorithm with diagonal Barzilai-Borwein stepsize. (English) Zbl 1524.90222 J. Oper. Res. Soc. China 11, No. 2, 277-307 (2023). MSC: 90C06 90C30 90C90 90C25 PDFBibTeX XMLCite \textit{T.-T. Yu} et al., J. Oper. Res. Soc. China 11, No. 2, 277--307 (2023; Zbl 1524.90222) Full Text: DOI
Crisci, Serena; Porta, Federica; Ruggiero, Valeria; Zanni, Luca Hybrid limited memory gradient projection methods for box-constrained optimization problems. (English) Zbl 1510.90260 Comput. Optim. Appl. 84, No. 1, 151-189 (2023). MSC: 90C30 65K05 49M37 PDFBibTeX XMLCite \textit{S. Crisci} et al., Comput. Optim. Appl. 84, No. 1, 151--189 (2023; Zbl 1510.90260) Full Text: DOI
Awwal, Aliyu Muhammed; Kumam, Poom; Wang, Lin; Yahaya, Mahmoud Muhammad; Mohammad, Hassan On the Barzilai-Borwein gradient methods with structured secant equation for nonlinear least squares problems. (English) Zbl 1509.90136 Optim. Methods Softw. 37, No. 4, 1269-1288 (2022). MSC: 90C20 PDFBibTeX XMLCite \textit{A. M. Awwal} et al., Optim. Methods Softw. 37, No. 4, 1269--1288 (2022; Zbl 1509.90136) Full Text: DOI
Yu, Tengteng; Liu, Xin-Wei; Dai, Yu-Hong; Sun, Jie Variable metric proximal stochastic variance reduced gradient methods for nonconvex nonsmooth optimization. (English) Zbl 1513.90153 J. Ind. Manag. Optim. 18, No. 4, 2611-2631 (2022). MSC: 90C26 90C30 PDFBibTeX XMLCite \textit{T. Yu} et al., J. Ind. Manag. Optim. 18, No. 4, 2611--2631 (2022; Zbl 1513.90153) Full Text: DOI
La Cruz, William A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations. (English) Zbl 1505.65203 J. Glob. Optim. 84, No. 4, 1005-1032 (2022). MSC: 65H10 65K05 90C30 68W50 PDFBibTeX XMLCite \textit{W. La Cruz}, J. Glob. Optim. 84, No. 4, 1005--1032 (2022; Zbl 1505.65203) Full Text: DOI
Crisci, Serena; Porta, Federica; Ruggiero, Valeria; Zanni, Luca On the convergence properties of scaled gradient projection methods with non-monotone Armijo-like line searches. (English) Zbl 1500.65023 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 521-554 (2022). MSC: 65K05 90C06 90C30 90-08 PDFBibTeX XMLCite \textit{S. Crisci} et al., Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 68, No. 2, 521--554 (2022; Zbl 1500.65023) Full Text: DOI
Padilla, G. P. (Paul); Belgioioso, Giuseppe; Donkers, M. C. F. (Tijs) Complete vehicle energy management using adaptive primal-dual operator splitting. (English) Zbl 1498.93359 Automatica 145, Article ID 110523, 11 p. (2022). MSC: 93C40 49N90 PDFBibTeX XMLCite \textit{G. P. Padilla} et al., Automatica 145, Article ID 110523, 11 p. (2022; Zbl 1498.93359) Full Text: DOI
Zou, Qinmeng; Magoulès, Frédéric Delayed gradient methods for symmetric and positive definite linear systems. (English) Zbl 1507.65103 SIAM Rev. 64, No. 3, 517-553 (2022). MSC: 65K05 65F10 65-02 90C52 PDFBibTeX XMLCite \textit{Q. Zou} and \textit{F. Magoulès}, SIAM Rev. 64, No. 3, 517--553 (2022; Zbl 1507.65103) Full Text: DOI
Fahs, Amin; Fahs, Hassane; Dehghani, R. Optimal scaling parameters for spectral conjugate gradient methods. (English) Zbl 1490.90304 SN Oper. Res. Forum 3, No. 2, Paper No. 31, 13 p. (2022). MSC: 90C53 49M37 65K05 PDFBibTeX XMLCite \textit{A. Fahs} et al., SN Oper. Res. Forum 3, No. 2, Paper No. 31, 13 p. (2022; Zbl 1490.90304) Full Text: DOI
Kimiaei, Morteza; Neumaier, Arnold; Azmi, Behzad LMBOPT: a limited memory method for bound-constrained optimization. (English) Zbl 1489.90185 Math. Program. Comput. 14, No. 2, 271-318 (2022). MSC: 90C30 90C06 65K05 PDFBibTeX XMLCite \textit{M. Kimiaei} et al., Math. Program. Comput. 14, No. 2, 271--318 (2022; Zbl 1489.90185) Full Text: DOI
Oviedo, Harry; Andreani, Roberto; Raydan, Marcos A family of optimal weighted conjugate-gradient-type methods for strictly convex quadratic minimization. (English) Zbl 1492.65170 Numer. Algorithms 90, No. 3, 1225-1252 (2022). MSC: 65K05 90C20 90C25 90C30 PDFBibTeX XMLCite \textit{H. Oviedo} et al., Numer. Algorithms 90, No. 3, 1225--1252 (2022; Zbl 1492.65170) Full Text: DOI
La Cruz, William An extended projected residual algorithm for solving smooth convex optimization problems. (English) Zbl 1493.65110 J. Comput. Appl. Math. 412, Article ID 114350, 17 p. (2022). MSC: 65K05 90C06 90C25 90C30 PDFBibTeX XMLCite \textit{W. La Cruz}, J. Comput. Appl. Math. 412, Article ID 114350, 17 p. (2022; Zbl 1493.65110) Full Text: DOI
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao On the acceleration of the Barzilai-Borwein method. (English) Zbl 1487.90513 Comput. Optim. Appl. 81, No. 3, 717-740 (2022). MSC: 90C20 90C25 90C30 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Optim. Appl. 81, No. 3, 717--740 (2022; Zbl 1487.90513) Full Text: DOI arXiv
Huang, Na On \(R\)-linear convergence analysis for a class of gradient methods. (English) Zbl 1484.90062 Comput. Optim. Appl. 81, No. 1, 161-177 (2022). MSC: 90C20 90C25 65K05 PDFBibTeX XMLCite \textit{N. Huang}, Comput. Optim. Appl. 81, No. 1, 161--177 (2022; Zbl 1484.90062) Full Text: DOI
Meli, Enrico; Morini, Benedetta; Porcelli, Margherita; Sgattoni, Cristina Solving nonlinear systems of equations via spectral residual methods: stepsize selection and applications. (English) Zbl 1484.65110 J. Sci. Comput. 90, No. 1, Paper No. 30, 41 p. (2022). MSC: 65H10 65K05 90C53 PDFBibTeX XMLCite \textit{E. Meli} et al., J. Sci. Comput. 90, No. 1, Paper No. 30, 41 p. (2022; Zbl 1484.65110) Full Text: DOI arXiv
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao On the asymptotic convergence and acceleration of gradient methods. (English) Zbl 1481.90309 J. Sci. Comput. 90, No. 1, Paper No. 7, 29 p. (2022). MSC: 90C52 90C20 PDFBibTeX XMLCite \textit{Y. Huang} et al., J. Sci. Comput. 90, No. 1, Paper No. 7, 29 p. (2022; Zbl 1481.90309) Full Text: DOI arXiv
Huang, Ya-Kui; Dai, Yu-Hong; Liu, Xin-Wei Equipping the Barzilai-Borwein method with the two dimensional quadratic termination property. (English) Zbl 1481.90244 SIAM J. Optim. 31, No. 4, 3068-3096 (2021). MSC: 90C20 90C25 90C30 PDFBibTeX XMLCite \textit{Y.-K. Huang} et al., SIAM J. Optim. 31, No. 4, 3068--3096 (2021; Zbl 1481.90244) Full Text: DOI arXiv
Papini, Alessandra; Porcelli, Margherita; Sgattoni, Cristina On the global convergence of a new spectral residual algorithm for nonlinear systems of equations. (English) Zbl 1472.65060 Boll. Unione Mat. Ital. 14, No. 2, 367-378 (2021). MSC: 65H10 PDFBibTeX XMLCite \textit{A. Papini} et al., Boll. Unione Mat. Ital. 14, No. 2, 367--378 (2021; Zbl 1472.65060) Full Text: DOI
Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. (English) Zbl 1464.35184 Appl. Math. Optim. 83, No. 1, 461-488 (2021). MSC: 35Q30 93E24 76D05 49J20 65K10 76M10 PDFBibTeX XMLCite \textit{J. Lemoine} et al., Appl. Math. Optim. 83, No. 1, 461--488 (2021; Zbl 1464.35184) Full Text: DOI
Zou, Qinmeng; Magoulès, Frédéric Fast gradient methods with alignment for symmetric linear systems without using Cauchy step. (English) Zbl 1452.65064 J. Comput. Appl. Math. 381, Article ID 113033, 17 p. (2021). MSC: 65F10 40A25 PDFBibTeX XMLCite \textit{Q. Zou} and \textit{F. Magoulès}, J. Comput. Appl. Math. 381, Article ID 113033, 17 p. (2021; Zbl 1452.65064) Full Text: DOI arXiv
Kuhn, Jannick; Schneider, Matti; Sonnweber-Ribic, Petra; Böhlke, Thomas Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials. (English) Zbl 1506.74235 Comput. Methods Appl. Mech. Eng. 369, Article ID 113175, 26 p. (2020). MSC: 74M25 74E15 PDFBibTeX XMLCite \textit{J. Kuhn} et al., Comput. Methods Appl. Mech. Eng. 369, Article ID 113175, 26 p. (2020; Zbl 1506.74235) Full Text: DOI
Liu, Yan; Wang, Xiao; Guo, Tiande A linearly convergent stochastic recursive gradient method for convex optimization. (English) Zbl 1459.90137 Optim. Lett. 14, No. 8, 2265-2283 (2020). MSC: 90C15 PDFBibTeX XMLCite \textit{Y. Liu} et al., Optim. Lett. 14, No. 8, 2265--2283 (2020; Zbl 1459.90137) Full Text: DOI
Yu, Zhensheng; Li, Lin; Li, Peixin A family of modified spectral projection methods for nonlinear monotone equations with convex constraint. (English) Zbl 1459.65089 Math. Probl. Eng. 2020, Article ID 2018243, 16 p. (2020). MSC: 65K05 90C26 90C52 65H10 90C30 PDFBibTeX XMLCite \textit{Z. Yu} et al., Math. Probl. Eng. 2020, Article ID 2018243, 16 p. (2020; Zbl 1459.65089) Full Text: DOI
Huang, Yakui; Dai, Yu-Hong; Liu, Xin-Wei; Zhang, Hongchao Gradient methods exploiting spectral properties. (English) Zbl 1454.90042 Optim. Methods Softw. 35, No. 4, 681-705 (2020). MSC: 90C20 90C25 90C30 PDFBibTeX XMLCite \textit{Y. Huang} et al., Optim. Methods Softw. 35, No. 4, 681--705 (2020; Zbl 1454.90042) Full Text: DOI arXiv
Lebrat, Léo; de Gournay, Frédéric; Kahn, Jonas 3/4-discrete optimal transport. (English) Zbl 1444.49018 SIAM J. Sci. Comput. 42, No. 4, A2088-A2107 (2020). MSC: 49Q22 65D18 68U05 49M15 65D10 PDFBibTeX XMLCite \textit{L. Lebrat} et al., SIAM J. Sci. Comput. 42, No. 4, A2088--A2107 (2020; Zbl 1444.49018) Full Text: DOI arXiv
Yan, Wen; Corona, Eduardo; Malhotra, Dhairya; Veerapaneni, Shravan; Shelley, Michael A scalable computational platform for particulate Stokes suspensions. (English) Zbl 1437.76042 J. Comput. Phys. 416, Article ID 109524, 31 p. (2020). MSC: 76M30 76T20 76D07 90C20 PDFBibTeX XMLCite \textit{W. Yan} et al., J. Comput. Phys. 416, Article ID 109524, 31 p. (2020; Zbl 1437.76042) Full Text: DOI arXiv
Cristofari, Andrea; Rinaldi, Francesco; Tudisco, Francesco Total variation based community detection using a nonlinear optimization approach. (English) Zbl 1444.91175 SIAM J. Appl. Math. 80, No. 3, 1392-1419 (2020). MSC: 91D30 65K10 91C20 PDFBibTeX XMLCite \textit{A. Cristofari} et al., SIAM J. Appl. Math. 80, No. 3, 1392--1419 (2020; Zbl 1444.91175) Full Text: DOI arXiv
Azmi, Behzad; Kunisch, Karl Analysis of the Barzilai-Borwein step-sizes for problems in Hilbert spaces. (English) Zbl 1461.49042 J. Optim. Theory Appl. 185, No. 3, 819-844 (2020). MSC: 49M41 49J20 65K05 90C20 90C48 PDFBibTeX XMLCite \textit{B. Azmi} and \textit{K. Kunisch}, J. Optim. Theory Appl. 185, No. 3, 819--844 (2020; Zbl 1461.49042) Full Text: DOI
Crisci, Serena; Porta, Federica; Ruggiero, Valeria; Zanni, Luca Spectral properties of Barzilai-Borwein rules in solving singly linearly constrained optimization problems subject to lower and upper bounds. (English) Zbl 1461.65139 SIAM J. Optim. 30, No. 2, 1300-1326 (2020). MSC: 65K05 90C25 90C30 90C06 PDFBibTeX XMLCite \textit{S. Crisci} et al., SIAM J. Optim. 30, No. 2, 1300--1326 (2020; Zbl 1461.65139) Full Text: DOI
Bellavia, Stefania; Krklec Jerinkić, Nataša; Malaspina, Greta Subsampled nonmonotone spectral gradient methods. (English) Zbl 1439.49056 Commun. Appl. Ind. Math. 11, No. 1, 19-34 (2020). MSC: 49M37 65K05 68T05 68W40 PDFBibTeX XMLCite \textit{S. Bellavia} et al., Commun. Appl. Ind. Math. 11, No. 1, 19--34 (2020; Zbl 1439.49056) Full Text: DOI arXiv
Crisci, Serena; Ruggiero, Valeria; Zanni, Luca Steplength selection in gradient projection methods for box-constrained quadratic programs. (English) Zbl 1428.90110 Appl. Math. Comput. 356, 312-327 (2019). MSC: 90C20 65K05 49M05 90C30 PDFBibTeX XMLCite \textit{S. Crisci} et al., Appl. Math. Comput. 356, 312--327 (2019; Zbl 1428.90110) Full Text: DOI Link
Becker, Stephen; Fadili, Jalal; Ochs, Peter On quasi-Newton forward-backward splitting: proximal calculus and convergence. (English) Zbl 1461.65128 SIAM J. Optim. 29, No. 4, 2445-2481 (2019). MSC: 65K05 90C25 90C31 PDFBibTeX XMLCite \textit{S. Becker} et al., SIAM J. Optim. 29, No. 4, 2445--2481 (2019; Zbl 1461.65128) Full Text: DOI arXiv
Dehghani, R.; Mahdavi-Amiri, N. Scaled nonlinear conjugate gradient methods for nonlinear least squares problems. (English) Zbl 1421.90166 Numer. Algorithms 82, No. 1, 1-20 (2019). MSC: 90C53 49M37 65K05 PDFBibTeX XMLCite \textit{R. Dehghani} and \textit{N. Mahdavi-Amiri}, Numer. Algorithms 82, No. 1, 1--20 (2019; Zbl 1421.90166) Full Text: DOI
Dai, Yu-Hong; Huang, Yakui; Liu, Xin-Wei A family of spectral gradient methods for optimization. (English) Zbl 1427.90260 Comput. Optim. Appl. 74, No. 1, 43-65 (2019). MSC: 90C30 90C57 PDFBibTeX XMLCite \textit{Y.-H. Dai} et al., Comput. Optim. Appl. 74, No. 1, 43--65 (2019; Zbl 1427.90260) Full Text: DOI arXiv
Feng, Xinzeng; Hormuth, David A. II; Yankeelov, Thomas E. An adjoint-based method for a linear mechanically-coupled tumor model: application to estimate the spatial variation of murine glioma growth based on diffusion weighted magnetic resonance imaging. (English) Zbl 1464.74118 Comput. Mech. 63, No. 2, 159-180 (2019). MSC: 74L15 74S05 74G75 92C10 92C55 PDFBibTeX XMLCite \textit{X. Feng} et al., Comput. Mech. 63, No. 2, 159--180 (2019; Zbl 1464.74118) Full Text: DOI Link
Loreto, M.; Xu, Y.; Kotval, D. A numerical study of applying spectral-step subgradient method for solving nonsmooth unconstrained optimization problems. (English) Zbl 1458.49023 Comput. Oper. Res. 104, 90-97 (2019). MSC: 49M05 90C26 65K10 PDFBibTeX XMLCite \textit{M. Loreto} et al., Comput. Oper. Res. 104, 90--97 (2019; Zbl 1458.49023) Full Text: DOI
di Serafino, Daniela; Ruggiero, Valeria; Toraldo, Gerardo; Zanni, Luca On the steplength selection in gradient methods for unconstrained optimization. (English) Zbl 1426.65082 Appl. Math. Comput. 318, 176-195 (2018). MSC: 65K10 90C20 90C30 65K05 PDFBibTeX XMLCite \textit{D. di Serafino} et al., Appl. Math. Comput. 318, 176--195 (2018; Zbl 1426.65082) Full Text: DOI Link
Bubba, Tatiana A.; Porta, Federica; Zanghirati, Gaetano; Bonettini, Silvia A nonsmooth regularization approach based on shearlets for Poisson noise removal in ROI tomography. (English) Zbl 1426.92036 Appl. Math. Comput. 318, 131-152 (2018). MSC: 92C55 42C40 44A12 65F22 65K10 PDFBibTeX XMLCite \textit{T. A. Bubba} et al., Appl. Math. Comput. 318, 131--152 (2018; Zbl 1426.92036) Full Text: DOI
Bubba, T. A.; Labate, D.; Zanghirati, G.; Bonettini, S. Shearlet-based regularized reconstruction in region-of-interest computed tomography. (English) Zbl 1405.44003 Math. Model. Nat. Phenom. 13, No. 4, Paper No. 34, 19 p. (2018). MSC: 44A12 65R32 68U10 92C55 65K05 65T60 PDFBibTeX XMLCite \textit{T. A. Bubba} et al., Math. Model. Nat. Phenom. 13, No. 4, Paper No. 34, 19 p. (2018; Zbl 1405.44003) Full Text: DOI Link
Tarzanagh, Davoud Ataee; Michailidis, George Estimation of graphical models through structured norm minimization. (English) Zbl 1473.62200 J. Mach. Learn. Res. 18(2017-2018), Paper No. 209, 48 p. (2018). MSC: 62H22 62M05 62M40 PDFBibTeX XMLCite \textit{D. A. Tarzanagh} and \textit{G. Michailidis}, J. Mach. Learn. Res. 18, Paper No. 209, 48 p. (2018; Zbl 1473.62200) Full Text: arXiv Link
La Cruz, William A residual algorithm for finding a fixed point of a nonexpansive mapping. (English) Zbl 06969107 J. Fixed Point Theory Appl. 20, No. 3, Paper No. 116, 18 p. (2018). MSC: 47H09 47J25 47J05 90C56 PDFBibTeX XMLCite \textit{W. La Cruz}, J. Fixed Point Theory Appl. 20, No. 3, Paper No. 116, 18 p. (2018; Zbl 06969107) Full Text: DOI
Zarepisheh, Masoud; Xing, Lei; Ye, Yinyu A computation study on an integrated alternating direction method of multipliers for large scale optimization. (English) Zbl 1392.90080 Optim. Lett. 12, No. 1, 3-15 (2018). MSC: 90C06 PDFBibTeX XMLCite \textit{M. Zarepisheh} et al., Optim. Lett. 12, No. 1, 3--15 (2018; Zbl 1392.90080) Full Text: DOI
La Cruz, William A spectral algorithm for large-scale systems of nonlinear monotone equations. (English) Zbl 1382.65143 Numer. Algorithms 76, No. 4, 1109-1130 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65H10 PDFBibTeX XMLCite \textit{W. La Cruz}, Numer. Algorithms 76, No. 4, 1109--1130 (2017; Zbl 1382.65143) Full Text: DOI
Loreto, Milagros; Aponte, Hugo; Cores, Debora; Raydan, Marcos Nonsmooth spectral gradient methods for unconstrained optimization. (English) Zbl 1381.49026 EURO J. Comput. Optim. 5, No. 4, 529-553 (2017). MSC: 49M05 90C56 90C26 65K10 49J52 PDFBibTeX XMLCite \textit{M. Loreto} et al., EURO J. Comput. Optim. 5, No. 4, 529--553 (2017; Zbl 1381.49026) Full Text: DOI
Dai, Xiaoying; Liu, Zhuang; Zhang, Liwei; Zhou, Aihui A conjugate gradient method for electronic structure calculations. (English) Zbl 1378.65120 SIAM J. Sci. Comput. 39, No. 6, A2702-A2740 (2017). MSC: 65K05 81Q05 90C30 81V55 PDFBibTeX XMLCite \textit{X. Dai} et al., SIAM J. Sci. Comput. 39, No. 6, A2702--A2740 (2017; Zbl 1378.65120) Full Text: DOI arXiv
Bellavia, Stefania; Governi, Lapo; Papini, Alessandra; Puggelli, Luca Regularized quadratic penalty methods for shape from shading. (English) Zbl 1457.65166 Mediterr. J. Math. 14, No. 3, Paper No. 145, 21 p. (2017). MSC: 65N21 65N20 65N06 65C20 65K05 PDFBibTeX XMLCite \textit{S. Bellavia} et al., Mediterr. J. Math. 14, No. 3, Paper No. 145, 21 p. (2017; Zbl 1457.65166) Full Text: DOI
Porta, Federica; Cornelio, Anastasia; Ruggiero, Valeria Runge-Kutta-like scaling techniques for first-order methods in convex optimization. (English) Zbl 1372.65181 Appl. Numer. Math. 116, 256-272 (2017). MSC: 65K05 90C25 65L06 PDFBibTeX XMLCite \textit{F. Porta} et al., Appl. Numer. Math. 116, 256--272 (2017; Zbl 1372.65181) Full Text: DOI
Alli-Oke, Razak O.; Heath, William P. A secant-based Nesterov method for convex functions. (English) Zbl 1373.90100 Optim. Lett. 11, No. 1, 81-105 (2017). MSC: 90C25 PDFBibTeX XMLCite \textit{R. O. Alli-Oke} and \textit{W. P. Heath}, Optim. Lett. 11, No. 1, 81--105 (2017; Zbl 1373.90100) Full Text: DOI Link
Huang, Yakui; Liu, Hongwei Smoothing projected Barzilai-Borwein method for constrained non-Lipschitz optimization. (English) Zbl 1357.90117 Comput. Optim. Appl. 65, No. 3, 671-698 (2016). MSC: 90C26 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{H. Liu}, Comput. Optim. Appl. 65, No. 3, 671--698 (2016; Zbl 1357.90117) Full Text: DOI
Wang, Liumei; Sun, Wenyu; de Sampaio, Raimundo J. B.; Yuan, Jinyun A Barzilai and Borwein scaling conjugate gradient method for unconstrained optimization problems. (English) Zbl 1410.90250 Appl. Math. Comput. 262, 136-144 (2015). MSC: 90C53 65K05 90C30 PDFBibTeX XMLCite \textit{L. Wang} et al., Appl. Math. Comput. 262, 136--144 (2015; Zbl 1410.90250) Full Text: DOI
Tavakoli, Rouhollah Computationally efficient approach for the minimization of volume constrained vector-valued Ginzburg-Landau energy functional. (English) Zbl 1349.65199 J. Comput. Phys. 295, 355-378 (2015). MSC: 65K10 35Q56 PDFBibTeX XMLCite \textit{R. Tavakoli}, J. Comput. Phys. 295, 355--378 (2015; Zbl 1349.65199) Full Text: DOI
Mohy-ud-Din, Hassan; Robinson, Daniel P. A solver for nonconvex bound-constrained quadratic optimization. (English) Zbl 1330.49029 SIAM J. Optim. 25, No. 4, 2385-2407 (2015). Reviewer: Guy Jumarie (Montréal) MSC: 49M15 49M37 65K05 90C30 90C60 65H10 68Q25 58C15 PDFBibTeX XMLCite \textit{H. Mohy-ud-Din} and \textit{D. P. Robinson}, SIAM J. Optim. 25, No. 4, 2385--2407 (2015; Zbl 1330.49029) Full Text: DOI
Jiang, Bo; Dai, Yu-Hong A framework of constraint preserving update schemes for optimization on Stiefel manifold. (English) Zbl 1325.49037 Math. Program. 153, No. 2 (A), 535-575 (2015). MSC: 49M37 49Q99 65K05 90C30 PDFBibTeX XMLCite \textit{B. Jiang} and \textit{Y.-H. Dai}, Math. Program. 153, No. 2 (A), 535--575 (2015; Zbl 1325.49037) Full Text: DOI arXiv
Huang, Yakui; Liu, Hongwei A Barzilai-Borwein type method for minimizing composite functions. (English) Zbl 1321.65099 Numer. Algorithms 69, No. 4, 819-838 (2015). Reviewer: Hang Lau (Montréal) MSC: 65K05 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{H. Liu}, Numer. Algorithms 69, No. 4, 819--838 (2015; Zbl 1321.65099) Full Text: DOI
Al-Baali, Mehiddin; Narushima, Yasushi; Yabe, Hiroshi A family of three-term conjugate gradient methods with sufficient descent property for unconstrained optimization. (English) Zbl 1315.90051 Comput. Optim. Appl. 60, No. 1, 89-110 (2015). MSC: 90C30 90C52 PDFBibTeX XMLCite \textit{M. Al-Baali} et al., Comput. Optim. Appl. 60, No. 1, 89--110 (2015; Zbl 1315.90051) Full Text: DOI
Wu, Lei; Sun, Zhe A new spectral method for \(l_1\)-regularized minimization. (English) Zbl 1308.65100 Inverse Probl. Imaging 9, No. 1, 257-272 (2015). MSC: 65K05 90C06 90C25 PDFBibTeX XMLCite \textit{L. Wu} and \textit{Z. Sun}, Inverse Probl. Imaging 9, No. 1, 257--272 (2015; Zbl 1308.65100) Full Text: DOI
Gao, Huan; Dai, Yu-Hong; Tong, Xiao-Jiao Barzilai-Borwein-like methods for the extreme eigenvalue problem. (English) Zbl 1401.90153 J. Ind. Manag. Optim. 11, No. 3, 999-1019 (2015). MSC: 90C25 90C30 49M30 PDFBibTeX XMLCite \textit{H. Gao} et al., J. Ind. Manag. Optim. 11, No. 3, 999--1019 (2015; Zbl 1401.90153) Full Text: DOI
De Asmundis, Roberta; Di Serafino, Daniela; Hager, William W.; Toraldo, Gerardo; Zhang, Hongchao An efficient gradient method using the Yuan steplength. (English) Zbl 1310.90082 Comput. Optim. Appl. 59, No. 3, 541-563 (2014). MSC: 90C20 90C52 PDFBibTeX XMLCite \textit{R. De Asmundis} et al., Comput. Optim. Appl. 59, No. 3, 541--563 (2014; Zbl 1310.90082) Full Text: DOI
Farid, Mahboubeh; Leong, Wah June; Malekmohammadi, Najmeh; Mamat, Mustafa Scaled diagonal gradient-type method with extra update for large-scale unconstrained optimization. (English) Zbl 1384.90121 Abstr. Appl. Anal. 2013, Article ID 532041, 5 p. (2013). MSC: 90C52 90C30 PDFBibTeX XMLCite \textit{M. Farid} et al., Abstr. Appl. Anal. 2013, Article ID 532041, 5 p. (2013; Zbl 1384.90121) Full Text: DOI
Liu, Chein-Shan A dynamical Tikhonov regularization for solving ill-posed linear algebraic systems. (English) Zbl 1259.65068 Acta Appl. Math. 123, No. 1, 285-307 (2013). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{C.-S. Liu}, Acta Appl. Math. 123, No. 1, 285--307 (2013; Zbl 1259.65068) Full Text: DOI
Bouhamidi, A.; Jbilou, K. A Kronecker approximation with a convex constrained optimization method for blind image restoration. (English) Zbl 1259.90091 Optim. Lett. 6, No. 7, 1251-1264 (2012). MSC: 90C25 90C90 PDFBibTeX XMLCite \textit{A. Bouhamidi} and \textit{K. Jbilou}, Optim. Lett. 6, No. 7, 1251--1264 (2012; Zbl 1259.90091) Full Text: DOI
Fletcher, Roger A limited memory steepest descent method. (English) Zbl 1254.90113 Math. Program. 135, No. 1-2 (A), 413-436 (2012). MSC: 90C06 90C26 65K05 PDFBibTeX XMLCite \textit{R. Fletcher}, Math. Program. 135, No. 1--2 (A), 413--436 (2012; Zbl 1254.90113) Full Text: DOI
van den Doel, Kees; Ascher, Uri The chaotic nature of faster gradient descent methods. (English) Zbl 1252.65073 J. Sci. Comput. 51, No. 3, 560-581 (2012). MSC: 65F10 65P20 PDFBibTeX XMLCite \textit{K. van den Doel} and \textit{U. Ascher}, J. Sci. Comput. 51, No. 3, 560--581 (2012; Zbl 1252.65073) Full Text: DOI
Jiang, Jianlin; Yuan, Xiaoming A Barzilai-Borwein-based heuristic algorithm for locating multiple facilities with regional demand. (English) Zbl 1243.90097 Comput. Optim. Appl. 51, No. 3, 1275-1295 (2012). MSC: 90B85 PDFBibTeX XMLCite \textit{J. Jiang} and \textit{X. Yuan}, Comput. Optim. Appl. 51, No. 3, 1275--1295 (2012; Zbl 1243.90097) Full Text: DOI
Wang, Y. F. Preconditioning non-monotone gradient methods for retrieval of seismic reflection signals. (English) Zbl 1238.86003 Adv. Comput. Math. 36, No. 2, 353-376 (2012). MSC: 86A15 65J20 65J22 65K10 PDFBibTeX XMLCite \textit{Y. F. Wang}, Adv. Comput. Math. 36, No. 2, 353--376 (2012; Zbl 1238.86003) Full Text: DOI
Wong, J. C.-F.; Xie, J.-L. Inverse determination of a heat source from natural convection in a porous cavity. (English) Zbl 1271.76319 Comput. Fluids 52, 1-14 (2011). MSC: 76R10 76M10 80A23 80A20 PDFBibTeX XMLCite \textit{J. C. F. Wong} and \textit{J. L. Xie}, Comput. Fluids 52, 1--14 (2011; Zbl 1271.76319) Full Text: DOI Link
Miladinović, Marko; Stanimirović, Predrag; Miljković, Sladjana Scalar correction method for solving large scale unconstrained minimization problems. (English) Zbl 1229.90087 J. Optim. Theory Appl. 151, No. 2, 304-320 (2011). MSC: 90C06 90C53 PDFBibTeX XMLCite \textit{M. Miladinović} et al., J. Optim. Theory Appl. 151, No. 2, 304--320 (2011; Zbl 1229.90087) Full Text: DOI
Chehab, Jean-Paul; Raydan, Marcos An implicit preconditioning strategy for large-scale generalized Sylvester equations. (English) Zbl 1218.65032 Appl. Math. Comput. 217, No. 21, 8793-8803 (2011). MSC: 65F08 15A24 65F30 PDFBibTeX XMLCite \textit{J.-P. Chehab} and \textit{M. Raydan}, Appl. Math. Comput. 217, No. 21, 8793--8803 (2011; Zbl 1218.65032) Full Text: DOI
Bouhamidi, A.; Jbilou, K.; Raydan, M. Convex constrained optimization for large-scale generalized Sylvester equations. (English) Zbl 1220.90088 Comput. Optim. Appl. 48, No. 2, 233-253 (2011). MSC: 90C25 90C52 PDFBibTeX XMLCite \textit{A. Bouhamidi} et al., Comput. Optim. Appl. 48, No. 2, 233--253 (2011; Zbl 1220.90088) Full Text: DOI
Leong, Wah June; Hassan, Malik Abu A new gradient method via least change secant update. (English) Zbl 1217.65107 Int. J. Comput. Math. 88, No. 4, 816-828 (2011). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 PDFBibTeX XMLCite \textit{W. J. Leong} and \textit{M. A. Hassan}, Int. J. Comput. Math. 88, No. 4, 816--828 (2011; Zbl 1217.65107) Full Text: DOI Link
Yu, Zhensheng; Sun, Jing; Qin, Yi A multivariate spectral projected gradient method for bound constrained optimization. (English) Zbl 1209.65065 J. Comput. Appl. Math. 235, No. 8, 2263-2269 (2011). MSC: 65K05 90C30 90C53 90C60 PDFBibTeX XMLCite \textit{Z. Yu} et al., J. Comput. Appl. Math. 235, No. 8, 2263--2269 (2011; Zbl 1209.65065) Full Text: DOI
Andretta, Marina; Birgin, Ernesto G.; Martínez, J. M. Partial spectral projected gradient method with active-set strategy for linearly constrained optimization. (English) Zbl 1185.65096 Numer. Algorithms 53, No. 1, 23-52 (2010). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 PDFBibTeX XMLCite \textit{M. Andretta} et al., Numer. Algorithms 53, No. 1, 23--52 (2010; Zbl 1185.65096) Full Text: DOI
Goh, B. S. Greatest descent algorithms in unconstrained optimization. (English) Zbl 1175.90370 J. Optim. Theory Appl. 142, No. 2, 275-289 (2009). MSC: 90C30 90C53 PDFBibTeX XMLCite \textit{B. S. Goh}, J. Optim. Theory Appl. 142, No. 2, 275--289 (2009; Zbl 1175.90370) Full Text: DOI
von Heusinger, Anna; Kanzow, Christian Optimization reformulations of the generalized Nash equilibrium problem using Nikaido-Isoda-type functions. (English) Zbl 1170.90495 Comput. Optim. Appl. 43, No. 3, 353-377 (2009). MSC: 90C30 91A10 PDFBibTeX XMLCite \textit{A. von Heusinger} and \textit{C. Kanzow}, Comput. Optim. Appl. 43, No. 3, 353--377 (2009; Zbl 1170.90495) Full Text: DOI
La Cruz, William; Noguera, Gilberto Hybrid spectral gradient method for the unconstrained minimization problem. (English) Zbl 1180.90248 J. Glob. Optim. 44, No. 2, 193-212 (2009). MSC: 90C26 90C59 65K10 49M37 PDFBibTeX XMLCite \textit{W. La Cruz} and \textit{G. Noguera}, J. Glob. Optim. 44, No. 2, 193--212 (2009; Zbl 1180.90248) Full Text: DOI
Loris, I.; Bertero, M.; De Mol, C.; Zanella, R.; Zanni, L. Accelerating gradient projection methods for \(\ell _1\)-constrained signal recovery by steplength selection rules. (English) Zbl 1170.65318 Appl. Comput. Harmon. Anal. 27, No. 2, 247-254 (2009). MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{I. Loris} et al., Appl. Comput. Harmon. Anal. 27, No. 2, 247--254 (2009; Zbl 1170.65318) Full Text: DOI arXiv
Hassan, Malik Abu; Leong, Wah June; Farid, Mahboubeh A new gradient method via quasi-Cauchy relation which guarantees descent. (English) Zbl 1179.65067 J. Comput. Appl. Math. 230, No. 1, 300-305 (2009). Reviewer: Stefan Mititelu (Bucureşti) MSC: 65K05 90C59 PDFBibTeX XMLCite \textit{M. A. Hassan} et al., J. Comput. Appl. Math. 230, No. 1, 300--305 (2009; Zbl 1179.65067) Full Text: DOI
Hager, William W.; Mair, Bernard A.; Zhang, Hongchao An affine-scaling interior-point CBB method for box-constrained optimization. (English) Zbl 1168.90007 Math. Program. 119, No. 1 (A), 1-32 (2009). Reviewer: Rembert Reemtsen (Cottbus) MSC: 90C06 90C26 65Y20 PDFBibTeX XMLCite \textit{W. W. Hager} et al., Math. Program. 119, No. 1 (A), 1--32 (2009; Zbl 1168.90007) Full Text: DOI
Han, Le; Yu, Gaohang; Guan, Lutai Multivariate spectral gradient method for unconstrained optimization. (English) Zbl 1155.65046 Appl. Math. Comput. 201, No. 1-2, 621-630 (2008). Reviewer: Nada Djuranović-Miličić (Belgrade) MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{L. Han} et al., Appl. Math. Comput. 201, No. 1--2, 621--630 (2008; Zbl 1155.65046) Full Text: DOI
Yu, Zhensheng Solving bound constrained optimization via a new nonmonotone spectral projected gradient method. (English) Zbl 1154.65051 Appl. Numer. Math. 58, No. 9, 1340-1348 (2008). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{Z. Yu}, Appl. Numer. Math. 58, No. 9, 1340--1348 (2008; Zbl 1154.65051) Full Text: DOI
Júdice, Joaquim J.; Raydan, Marcos; Rosa, Silvério S.; Santos, Sandra A. On the solution of the symmetric eigenvalue complementarity problem by the spectral projected gradient algorithm. (English) Zbl 1144.65042 Numer. Algorithms 47, No. 4, 391-407 (2008). Reviewer: Akrur Behera (Rourkela) MSC: 65K05 90C33 65F15 90C20 PDFBibTeX XMLCite \textit{J. J. Júdice} et al., Numer. Algorithms 47, No. 4, 391--407 (2008; Zbl 1144.65042) Full Text: DOI Link
Birgin, E. G.; Martínez, J. M. Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization. (English) Zbl 1147.90412 Comput. Optim. Appl. 39, No. 1, 1-16 (2008). MSC: 90C53 65H10 90C30 PDFBibTeX XMLCite \textit{E. G. Birgin} and \textit{J. M. Martínez}, Comput. Optim. Appl. 39, No. 1, 1--16 (2008; Zbl 1147.90412) Full Text: DOI
Andrei, Neculai Scaled conjugate gradient algorithms for unconstrained optimization. (English) Zbl 1168.90608 Comput. Optim. Appl. 38, No. 3, 401-416 (2007). MSC: 90C30 90C52 PDFBibTeX XMLCite \textit{N. Andrei}, Comput. Optim. Appl. 38, No. 3, 401--416 (2007; Zbl 1168.90608) Full Text: DOI
Grippo, L.; Sciandrone, M. Nonmonotone derivative-free methods for nonlinear equations. (English) Zbl 1180.90310 Comput. Optim. Appl. 37, No. 3, 297-328 (2007). MSC: 90C30 90C56 PDFBibTeX XMLCite \textit{L. Grippo} and \textit{M. Sciandrone}, Comput. Optim. Appl. 37, No. 3, 297--328 (2007; Zbl 1180.90310) Full Text: DOI
Crema, Alejandro; Loreto, Milagros; Raydan, Marcos Spectral projected subgradient with a momentum term for the Lagrangean dual approach. (English) Zbl 1137.90016 Comput. Oper. Res. 34, No. 10, 3174-3186 (2007). MSC: 90C30 90C46 PDFBibTeX XMLCite \textit{A. Crema} et al., Comput. Oper. Res. 34, No. 10, 3174--3186 (2007; Zbl 1137.90016) Full Text: DOI
Zanni, Luca An improved gradient projection-based decomposition technique for support vector machines. (English) Zbl 1163.90693 Comput. Manag. Sci. 3, No. 2, 131-145 (2006). MSC: 90C20 62H30 90C52 PDFBibTeX XMLCite \textit{L. Zanni}, Comput. Manag. Sci. 3, No. 2, 131--145 (2006; Zbl 1163.90693) Full Text: DOI
Francisco, Juliano B.; Martínez, José Mario; Martínez, Leandro Density-based globally convergent trust-region methods for self-consistent field electronic structure calculations. (English) Zbl 1110.92069 J. Math. Chem. 40, No. 4, 349-377 (2006). MSC: 92E99 65K10 92E10 PDFBibTeX XMLCite \textit{J. B. Francisco} et al., J. Math. Chem. 40, No. 4, 349--377 (2006; Zbl 1110.92069) Full Text: DOI
Zhou, Bin; Gao, Li; Dai, Yuhong Monotone projected gradient methods for large-scale box-constrained quadratic programming. (English) Zbl 1112.90056 Sci. China, Ser. A 49, No. 5, 688-702 (2006). MSC: 90C20 PDFBibTeX XMLCite \textit{B. Zhou} et al., Sci. China, Ser. A 49, No. 5, 688--702 (2006; Zbl 1112.90056) Full Text: DOI
Zhou, Bin; Gao, Li; Dai, Yu-Hong Gradient methods with adaptive step-sizes. (English) Zbl 1121.90099 Comput. Optim. Appl. 35, No. 1, 69-86 (2006). MSC: 90C20 90C52 PDFBibTeX XMLCite \textit{B. Zhou} et al., Comput. Optim. Appl. 35, No. 1, 69--86 (2006; Zbl 1121.90099) Full Text: DOI
Dai, Y. H.; Yang, X. Q. A new gradient method with an optimal stepsize property. (English) Zbl 1103.90099 Comput. Optim. Appl. 33, No. 1, 73-88 (2006). MSC: 90C52 PDFBibTeX XMLCite \textit{Y. H. Dai} and \textit{X. Q. Yang}, Comput. Optim. Appl. 33, No. 1, 73--88 (2006; Zbl 1103.90099) Full Text: DOI
Dai, Yu-Hong; Fletcher, Roger New algorithms for singly linearly constrained quadratic programs subject to lower and upper bounds. (English) Zbl 1134.90030 Math. Program. 106, No. 3 (A), 403-421 (2006). MSC: 90C20 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{R. Fletcher}, Math. Program. 106, No. 3 (A), 403--421 (2006; Zbl 1134.90030) Full Text: DOI
La Cruz, William; Martínez, José Mario; Raydan, Marcos Spectral residual method without gradient information for solving large-scale nonlinear systems of equations. (English) Zbl 1122.65049 Math. Comput. 75, No. 255, 1429-1448 (2006). MSC: 65H10 65K10 90C30 PDFBibTeX XMLCite \textit{W. La Cruz} et al., Math. Comput. 75, No. 255, 1429--1448 (2006; Zbl 1122.65049) Full Text: DOI
Chehab, Jean-Paul; Raydan, Marcos Implicit and adaptive inverse preconditioned gradient methods for nonlinear problems. (English) Zbl 1078.65049 Appl. Numer. Math. 55, No. 1, 32-47 (2005). Reviewer: Karel Zimmermann (Praha) MSC: 65K05 90C30 PDFBibTeX XMLCite \textit{J.-P. Chehab} and \textit{M. Raydan}, Appl. Numer. Math. 55, No. 1, 32--47 (2005; Zbl 1078.65049) Full Text: DOI
Dai, Yu-Hong; Fletcher, Roger On the asymptotic behaviour of some new gradient methods. (English) Zbl 1099.90038 Math. Program. 103, No. 3 (A), 541-559 (2005). MSC: 90C20 90C52 65K05 PDFBibTeX XMLCite \textit{Y.-H. Dai} and \textit{R. Fletcher}, Math. Program. 103, No. 3 (A), 541--559 (2005; Zbl 1099.90038) Full Text: DOI