Aduamoah, Mildred; Goddard, Benjamin D.; Pearson, John W.; Roden, Jonna C. Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics. (English) Zbl 1502.35169 BIT 62, No. 4, 1703-1743 (2022). MSC: 35Q82 35Q93 82C22 82M36 65M70 65N35 65F10 35B65 49M41 PDF BibTeX XML Cite \textit{M. Aduamoah} et al., BIT 62, No. 4, 1703--1743 (2022; Zbl 1502.35169) Full Text: DOI OpenURL
Keil, Tim; Kleikamp, Hendrik; Lorentzen, Rolf J.; Oguntola, Micheal B.; Ohlberger, Mario Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery. (English) Zbl 07618976 Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022). MSC: 68T07 90C90 PDF BibTeX XML Cite \textit{T. Keil} et al., Adv. Comput. Math. 48, No. 6, Paper No. 73, 35 p. (2022; Zbl 07618976) Full Text: DOI arXiv OpenURL
Yuan, Gonglin; Yang, Heshu; Zhang, Mengxiang Adaptive three-term PRP algorithms without gradient Lipschitz continuity condition for nonconvex functions. (English) Zbl 1496.65080 Numer. Algorithms 91, No. 1, 145-160 (2022). MSC: 65K05 90C26 90C52 PDF BibTeX XML Cite \textit{G. Yuan} et al., Numer. Algorithms 91, No. 1, 145--160 (2022; Zbl 1496.65080) Full Text: DOI OpenURL
Li, Xiangli; Zhao, Wenjuan A modified conjugate gradient method based on the self-scaling memoryless BFGS update. (English) Zbl 1492.65168 Numer. Algorithms 90, No. 3, 1017-1042 (2022). MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{X. Li} and \textit{W. Zhao}, Numer. Algorithms 90, No. 3, 1017--1042 (2022; Zbl 1492.65168) Full Text: DOI OpenURL
Andrei, Neculai A note on memory-less SR1 and memory-less BFGS methods for large-scale unconstrained optimization. (English) Zbl 1487.65071 Numer. Algorithms 90, No. 1, 223-240 (2022). MSC: 65K10 90C30 90C53 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Algorithms 90, No. 1, 223--240 (2022; Zbl 1487.65071) Full Text: DOI OpenURL
Salleh, Zabidin; Almarashi, Adel; Alhawarat, Ahmad Two efficient modifications of AZPRP conjugate gradient method with sufficient descent property. (English) Zbl 07512169 J. Inequal. Appl. 2022, Paper No. 14, 21 p. (2022). MSC: 49M37 65K05 90C52 PDF BibTeX XML Cite \textit{Z. Salleh} et al., J. Inequal. Appl. 2022, Paper No. 14, 21 p. (2022; Zbl 07512169) Full Text: DOI OpenURL
Andrei, Neculai Accelerated memory-less SR1 method with generalized secant equation for unconstrained optimization. (English) Zbl 1490.90278 Calcolo 59, No. 2, Paper No. 16, 20 p. (2022). MSC: 90C30 90C53 90-08 PDF BibTeX XML Cite \textit{N. Andrei}, Calcolo 59, No. 2, Paper No. 16, 20 p. (2022; Zbl 1490.90278) Full Text: DOI OpenURL
Cai, Shang-Rong; Hwang, Feng-Nan A hybrid-line-and-curve search globalization technique for inexact Newton methods. (English) Zbl 1484.65107 Appl. Numer. Math. 173, 79-93 (2022). MSC: 65H10 90C30 65K05 PDF BibTeX XML Cite \textit{S.-R. Cai} and \textit{F.-N. Hwang}, Appl. Numer. Math. 173, 79--93 (2022; Zbl 1484.65107) Full Text: DOI OpenURL
Masmali, Ibtisam A.; Salleh, Zabidin; Alhawarat, Ahmad A decent three term conjugate gradient method with global convergence properties for large scale unconstrained optimization problems. (English) Zbl 07536360 AIMS Math. 6, No. 10, 10742-10764 (2021). MSC: 49M37 65K05 90Cxx PDF BibTeX XML Cite \textit{I. A. Masmali} et al., AIMS Math. 6, No. 10, 10742--10764 (2021; Zbl 07536360) Full Text: DOI OpenURL
Malik, Maulana; Sulaiman, Ibrahim Mohammed; Mamat, Mustafa; Abas, Siti Sabariah; Sukono A new class of nonlinear conjugate gradient method for unconstrained optimization models and its application in portfolio selection. (English) Zbl 1481.65089 Nonlinear Funct. Anal. Appl. 26, No. 4, 811-837 (2021). MSC: 65K05 90C52 90C26 91G10 PDF BibTeX XML Cite \textit{M. Malik} et al., Nonlinear Funct. Anal. Appl. 26, No. 4, 811--837 (2021; Zbl 1481.65089) Full Text: Link OpenURL
Weber, Patrick; Geiger, Jeremy; Wagner, Werner Constrained neural network training and its application to hyperelastic material modeling. (English) Zbl 1478.74010 Comput. Mech. 68, No. 5, 1179-1204 (2021). MSC: 74B20 74S99 74S05 92B20 68T05 PDF BibTeX XML Cite \textit{P. Weber} et al., Comput. Mech. 68, No. 5, 1179--1204 (2021; Zbl 1478.74010) Full Text: DOI OpenURL
Sakai, Hiroyuki; Iiduka, Hideaki Sufficient descent Riemannian conjugate gradient methods. (English) Zbl 1472.65072 J. Optim. Theory Appl. 190, No. 1, 130-150 (2021). MSC: 65K05 90C26 57R35 PDF BibTeX XML Cite \textit{H. Sakai} and \textit{H. Iiduka}, J. Optim. Theory Appl. 190, No. 1, 130--150 (2021; Zbl 1472.65072) Full Text: DOI arXiv OpenURL
Li, Xiangli; Zhao, Wenjuan; Dong, Xiaoliang A new CG algorithm based on a scaled memoryless BFGS update with adaptive search strategy, and its application to large-scale unconstrained optimization problems. (English) Zbl 1472.90064 J. Comput. Appl. Math. 398, Article ID 113670, 10 p. (2021). MSC: 90C06 90C52 PDF BibTeX XML Cite \textit{X. Li} et al., J. Comput. Appl. Math. 398, Article ID 113670, 10 p. (2021; Zbl 1472.90064) Full Text: DOI OpenURL
Alhawarat, Ahmad; Nguyen, Thoi Trung; Sabra, Ramadan; Salleh, Zabidin An efficient modified AZPRP conjugate gradient method for large-scale unconstrained optimization problem. (English) Zbl 1477.90100 J. Math. 2021, Article ID 6692024, 9 p. (2021). MSC: 90C30 65K05 90C52 90C53 PDF BibTeX XML Cite \textit{A. Alhawarat} et al., J. Math. 2021, Article ID 6692024, 9 p. (2021; Zbl 1477.90100) Full Text: DOI OpenURL
Wills, Adrian G.; Schön, Thomas B. Stochastic quasi-Newton with line-search regularisation. (English) Zbl 1461.93556 Automatica 127, Article ID 109503, 11 p. (2021). MSC: 93E20 93E12 93C10 90C53 PDF BibTeX XML Cite \textit{A. G. Wills} and \textit{T. B. Schön}, Automatica 127, Article ID 109503, 11 p. (2021; Zbl 1461.93556) Full Text: DOI arXiv OpenURL
Andrei, Neculai A new accelerated diagonal quasi-Newton updating method with scaled forward finite differences directional derivative for unconstrained optimization. (English) Zbl 1460.90204 Optimization 70, No. 2, 345-360 (2021). MSC: 90C53 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, Optimization 70, No. 2, 345--360 (2021; Zbl 1460.90204) Full Text: DOI OpenURL
Sakai, Hiroyuki; Iiduka, Hideaki Hybrid Riemannian conjugate gradient methods with global convergence properties. (English) Zbl 1466.90123 Comput. Optim. Appl. 77, No. 3, 811-830 (2020). MSC: 90C48 PDF BibTeX XML Cite \textit{H. Sakai} and \textit{H. Iiduka}, Comput. Optim. Appl. 77, No. 3, 811--830 (2020; Zbl 1466.90123) Full Text: DOI arXiv OpenURL
Yao, Shengwei; Ning, Liangshuo; Tu, Huonian; Xu, Jieqiong A one-parameter class of three-term conjugate gradient methods with an adaptive parameter choice. (English) Zbl 1464.90103 Optim. Methods Softw. 35, No. 6, 1051-1064 (2020). MSC: 90C30 90C06 PDF BibTeX XML Cite \textit{S. Yao} et al., Optim. Methods Softw. 35, No. 6, 1051--1064 (2020; Zbl 1464.90103) Full Text: DOI OpenURL
Hartmann, Valentin; Schuhmacher, Dominic Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case. (English) Zbl 1457.65014 Math. Methods Oper. Res. 92, No. 1, 133-163 (2020). MSC: 65D18 49Q22 51N20 PDF BibTeX XML Cite \textit{V. Hartmann} and \textit{D. Schuhmacher}, Math. Methods Oper. Res. 92, No. 1, 133--163 (2020; Zbl 1457.65014) Full Text: DOI OpenURL
Ahmed, Huda I.; Hamed, Eman T.; Saeed Chilmeran, Hamsa Th. A modified bat algorithm with conjugate gradient method for global optimization. (English) Zbl 1487.90601 Int. J. Math. Math. Sci. 2020, Article ID 4795793, 14 p. (2020). MSC: 90C30 65K05 65K10 90C52 PDF BibTeX XML Cite \textit{H. I. Ahmed} et al., Int. J. Math. Math. Sci. 2020, Article ID 4795793, 14 p. (2020; Zbl 1487.90601) Full Text: DOI OpenURL
Hassan, Basim A. A new type of quasi-Newton updating formulas based on the new quasi-Newton equation. (English) Zbl 1447.90074 Numer. Algebra Control Optim. 10, No. 2, 227-235 (2020). MSC: 90C53 PDF BibTeX XML Cite \textit{B. A. Hassan}, Numer. Algebra Control Optim. 10, No. 2, 227--235 (2020; Zbl 1447.90074) Full Text: DOI OpenURL
Andrei, Neculai A double parameter self-scaling memoryless BFGS method for unconstrained optimization. (English) Zbl 1445.90101 Comput. Appl. Math. 39, No. 3, Paper No. 159, 14 p. (2020). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{N. Andrei}, Comput. Appl. Math. 39, No. 3, Paper No. 159, 14 p. (2020; Zbl 1445.90101) Full Text: DOI OpenURL
Andrei, Neculai New conjugate gradient algorithms based on self-scaling memoryless Broyden-Fletcher-Goldfarb-Shanno method. (English) Zbl 1445.90100 Calcolo 57, No. 2, Paper No. 17, 27 p. (2020). MSC: 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, Calcolo 57, No. 2, Paper No. 17, 27 p. (2020; Zbl 1445.90100) Full Text: DOI OpenURL
Andrei, Neculai Diagonal approximation of the Hessian by finite differences for unconstrained optimization. (English) Zbl 1441.49029 J. Optim. Theory Appl. 185, No. 3, 859-879 (2020). MSC: 49M15 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, J. Optim. Theory Appl. 185, No. 3, 859--879 (2020; Zbl 1441.49029) Full Text: DOI OpenURL
Yao, Shengwei; Feng, Qinliang; Li, Lue; Xu, Jieqiong A class of globally convergent three-term Dai-Liao conjugate gradient methods. (English) Zbl 1436.90139 Appl. Numer. Math. 151, 354-366 (2020). MSC: 90C30 90C52 PDF BibTeX XML Cite \textit{S. Yao} et al., Appl. Numer. Math. 151, 354--366 (2020; Zbl 1436.90139) Full Text: DOI OpenURL
Alexandropoulos, Stamatios-Aggelos N.; Pardalos, Panos M.; Vrahatis, Michael N. Dynamic search trajectory methods for global optimization. (English) Zbl 1461.65113 Ann. Math. Artif. Intell. 88, No. 1-3, 3-37 (2020). MSC: 65K05 65K10 65L05 68T05 68T20 PDF BibTeX XML Cite \textit{S.-A. N. Alexandropoulos} et al., Ann. Math. Artif. Intell. 88, No. 1--3, 3--37 (2020; Zbl 1461.65113) Full Text: DOI OpenURL
Bouaziz, Khelifa; Laskri, Yamina Convergence of a two-parameter family of conjugate gradient methods with a fixed formula of stepsize. (English) Zbl 1431.35007 Bol. Soc. Parana. Mat. (3) 38, No. 6, 127-140 (2020). MSC: 35B40 35L70 PDF BibTeX XML Cite \textit{K. Bouaziz} and \textit{Y. Laskri}, Bol. Soc. Parana. Mat. (3) 38, No. 6, 127--140 (2020; Zbl 1431.35007) Full Text: Link OpenURL
Chen, Yuting; Cao, Mingyuan; Yang, Yueting A new accelerated conjugate gradient method for large-scale unconstrained optimization. (English) Zbl 1499.90216 J. Inequal. Appl. 2019, Paper No. 300, 13 p. (2019). MSC: 90C30 65K05 90C52 90C53 90C06 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Inequal. Appl. 2019, Paper No. 300, 13 p. (2019; Zbl 1499.90216) Full Text: DOI OpenURL
Rakotoarivelo, Hoby; Ledoux, Franck Accurate manycore-accelerated manifold surface remesh kernels. (English) Zbl 07216465 Roca, Xevi (ed.) et al., Proceedings of the 27th International Meshing Roundtable (IMR), Albuquerque, NM, USA, October 1–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 127, 405-423 (2019). MSC: 65Dxx PDF BibTeX XML Cite \textit{H. Rakotoarivelo} and \textit{F. Ledoux}, Lect. Notes Comput. Sci. Eng. 127, 405--423 (2019; Zbl 07216465) Full Text: DOI OpenURL
Cao, K.; Lesnic, D. Simultaneous reconstruction of the perfusion coefficient and initial temperature from time-average integral temperature measurements. (English) Zbl 1481.35396 Appl. Math. Modelling 68, 523-539 (2019). MSC: 35R30 35K20 65M32 PDF BibTeX XML Cite \textit{K. Cao} and \textit{D. Lesnic}, Appl. Math. Modelling 68, 523--539 (2019; Zbl 1481.35396) Full Text: DOI Link OpenURL
Ahmed, Huda I.; Al-Kawaz, Rana Z.; Al-Bayati, Abbas Y. Spectral three-term constrained conjugate gradient algorithm for function minimizations. (English) Zbl 1442.65100 J. Appl. Math. 2019, Article ID 6378368, 6 p. (2019). MSC: 65K05 90C30 90C52 PDF BibTeX XML Cite \textit{H. I. Ahmed} et al., J. Appl. Math. 2019, Article ID 6378368, 6 p. (2019; Zbl 1442.65100) Full Text: DOI OpenURL
Hamed, Eman T.; Ahmed, Huda I.; Al-Bayati, Abbas Y. A new hybrid algorithm for convex nonlinear unconstrained optimization. (English) Zbl 1442.90180 J. Appl. Math. 2019, Article ID 8728196, 6 p. (2019). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{E. T. Hamed} et al., J. Appl. Math. 2019, Article ID 8728196, 6 p. (2019; Zbl 1442.90180) Full Text: DOI OpenURL
Andrei, Neculai A new diagonal quasi-Newton updating method with scaled forward finite differences directional derivative for unconstrained optimization. (English) Zbl 1417.49037 Numer. Funct. Anal. Optim. 40, No. 13, 1467-1488 (2019). MSC: 49M15 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Funct. Anal. Optim. 40, No. 13, 1467--1488 (2019; Zbl 1417.49037) Full Text: DOI OpenURL
Andrei, Neculai A diagonal quasi-Newton updating method for unconstrained optimization. (English) Zbl 1416.49025 Numer. Algorithms 81, No. 2, 575-590 (2019). MSC: 49M15 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Algorithms 81, No. 2, 575--590 (2019; Zbl 1416.49025) Full Text: DOI OpenURL
Petra, Cosmin G.; Chiang, Naiyuan; Anitescu, Mihai A structured quasi-Newton algorithm for optimizing with incomplete Hessian information. (English) Zbl 1411.90358 SIAM J. Optim. 29, No. 2, 1048-1075 (2019). MSC: 90C53 90C30 90C06 PDF BibTeX XML Cite \textit{C. G. Petra} et al., SIAM J. Optim. 29, No. 2, 1048--1075 (2019; Zbl 1411.90358) Full Text: DOI OpenURL
Zhang, Keke; Liu, Hongwei; Liu, Zexian A new Dai-Liao conjugate gradient method with optimal parameter choice. (English) Zbl 1411.90329 Numer. Funct. Anal. Optim. 40, No. 2, 194-215 (2019). MSC: 90C30 PDF BibTeX XML Cite \textit{K. Zhang} et al., Numer. Funct. Anal. Optim. 40, No. 2, 194--215 (2019; Zbl 1411.90329) Full Text: DOI OpenURL
Benson, Hande Y.; Shanno, David F. Cubic regularization in symmetric rank-1 quasi-Newton methods. (English) Zbl 1411.90315 Math. Program. Comput. 10, No. 4, 457-486 (2018). MSC: 90C30 90C53 90-08 PDF BibTeX XML Cite \textit{H. Y. Benson} and \textit{D. F. Shanno}, Math. Program. Comput. 10, No. 4, 457--486 (2018; Zbl 1411.90315) Full Text: DOI OpenURL
Mahajan, Dhruv; Agrawal, Nikunj; Keerthi, S. Sathiya; Sellamanickam, Sundararajan; Bottou, Léon An efficient distributed learning algorithm based on effective local functional approximations. (English) Zbl 1476.68235 J. Mach. Learn. Res. 19, Paper No. 74, 37 p. (2018). MSC: 68T05 62G05 62H30 68W15 PDF BibTeX XML Cite \textit{D. Mahajan} et al., J. Mach. Learn. Res. 19, Paper No. 74, 37 p. (2018; Zbl 1476.68235) Full Text: arXiv Link OpenURL
Andrei, Neculai A diagonal quasi-Newton updating method based on minimizing the measure function of Byrd and Nocedal for unconstrained optimization. (English) Zbl 1402.65049 Optimization 67, No. 9, 1553-1568 (2018). MSC: 65K05 90C30 90C53 49M37 PDF BibTeX XML Cite \textit{N. Andrei}, Optimization 67, No. 9, 1553--1568 (2018; Zbl 1402.65049) Full Text: DOI OpenURL
Andrei, Neculai A double-parameter scaling Broyden-Fletcher-Goldfarb-Shanno method based on minimizing the measure function of Byrd and Nocedal for unconstrained optimization. (English) Zbl 1398.49025 J. Optim. Theory Appl. 178, No. 1, 191-218 (2018). MSC: 49M37 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, J. Optim. Theory Appl. 178, No. 1, 191--218 (2018; Zbl 1398.49025) Full Text: DOI OpenURL
Wu, Xiang; Zhang, Kanjian; Cheng, Ming Optimal control of bioprocess systems using hybrid numerical optimization algorithms. (English) Zbl 1397.49046 Optimization 67, No. 8, 1287-1306 (2018). MSC: 49M37 90C15 49M25 PDF BibTeX XML Cite \textit{X. Wu} et al., Optimization 67, No. 8, 1287--1306 (2018; Zbl 1397.49046) Full Text: DOI OpenURL
Andrei, Neculai An adaptive scaled BFGS method for unconstrained optimization. (English) Zbl 1383.65059 Numer. Algorithms 77, No. 2, 413-432 (2018). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Algorithms 77, No. 2, 413--432 (2018; Zbl 1383.65059) Full Text: DOI OpenURL
Yao, Shengwei; Ning, Liangshuo An adaptive three-term conjugate gradient method based on self-scaling memoryless BFGS matrix. (English) Zbl 1382.90116 J. Comput. Appl. Math. 332, 72-85 (2018). MSC: 90C53 90C30 49M37 65F15 PDF BibTeX XML Cite \textit{S. Yao} and \textit{L. Ning}, J. Comput. Appl. Math. 332, 72--85 (2018; Zbl 1382.90116) Full Text: DOI OpenURL
Andrei, Neculai A double parameter scaled BFGS method for unconstrained optimization. (English) Zbl 1422.65084 J. Comput. Appl. Math. 332, 26-44 (2018). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, J. Comput. Appl. Math. 332, 26--44 (2018; Zbl 1422.65084) Full Text: DOI OpenURL
Munters, W.; Meyers, J. An optimal control framework for dynamic induction control of wind farms and their interaction with the atmospheric boundary layer. (English) Zbl 1404.76141 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2091, Article ID 20160100, 19 p. (2017). MSC: 76F65 76N25 PDF BibTeX XML Cite \textit{W. Munters} and \textit{J. Meyers}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 375, No. 2091, Article ID 20160100, 19 p. (2017; Zbl 1404.76141) Full Text: DOI OpenURL
Allen, Rebecca; Nilsen, Halvor Møll; Andersen, Odd; Lie, Knut-Andreas On obtaining optimal well rates and placement for CO\(_2\) storage. (English) Zbl 1405.90151 Comput. Geosci. 21, No. 5-6, 1403-1422 (2017). MSC: 90C90 86A60 PDF BibTeX XML Cite \textit{R. Allen} et al., Comput. Geosci. 21, No. 5--6, 1403--1422 (2017; Zbl 1405.90151) Full Text: DOI OpenURL
Yang, Zhimin; Chai, Yi; Chen, Tao; Qu, Jianfeng Smoothed \(\ell_1\)-regularization-based line search for sparse signal recovery. (English) Zbl 1387.94049 Soft Comput. 21, No. 16, 4813-4828 (2017). MSC: 94A12 PDF BibTeX XML Cite \textit{Z. Yang} et al., Soft Comput. 21, No. 16, 4813--4828 (2017; Zbl 1387.94049) Full Text: DOI OpenURL
Andrei, Neculai Accelerated adaptive Perry conjugate gradient algorithms based on the self-scaling memoryless BFGS update. (English) Zbl 1365.65158 J. Comput. Appl. Math. 325, 149-164 (2017). MSC: 65K05 90C06 PDF BibTeX XML Cite \textit{N. Andrei}, J. Comput. Appl. Math. 325, 149--164 (2017; Zbl 1365.65158) Full Text: DOI OpenURL
Andrei, Neculai Eigenvalues versus singular values study in conjugate gradient algorithms for large-scale unconstrained optimization. (English) Zbl 1368.49057 Optim. Methods Softw. 32, No. 3, 534-551 (2017). MSC: 49R05 90C06 49M15 65K15 PDF BibTeX XML Cite \textit{N. Andrei}, Optim. Methods Softw. 32, No. 3, 534--551 (2017; Zbl 1368.49057) Full Text: DOI OpenURL
Jian, Jinbao; Chen, Qian; Jiang, Xianzhen; Zeng, Youfang; Yin, Jianghua A new spectral conjugate gradient method for large-scale unconstrained optimization. (English) Zbl 1365.90201 Optim. Methods Softw. 32, No. 3, 503-515 (2017). MSC: 90C25 90C30 PDF BibTeX XML Cite \textit{J. Jian} et al., Optim. Methods Softw. 32, No. 3, 503--515 (2017; Zbl 1365.90201) Full Text: DOI OpenURL
Shoid, Syazni; Rivaie, Mohd.; Mamat, Mustafa A modification of classical conjugate gradient method using strong Wolfe line search. (English) Zbl 1468.90149 Chen, Chuei Yee (ed.) et al., Innovations through mathematical and statistical research. Proceedings of the 2nd international conference on mathematical sciences and statistics, ICMSS2016, Kuala Lumpur, Malaysia, January 26–28, 2016. Melville, NY: American Institute of Physics (AIP). AIP Conf. Proc. 1739, Article ID 020071, 8 p. (2016). MSC: 90C52 PDF BibTeX XML Cite \textit{S. Shoid} et al., AIP Conf. Proc. 1739, Article ID 020071, 8 p. (2016; Zbl 1468.90149) Full Text: DOI OpenURL
Andrei, Neculai A new adaptive conjugate gradient algorithm for large-scale unconstrained optimization. (English) Zbl 1354.90072 Goldengorin, Boris (ed.), Optimization and applications in control and data sciences. In honor of Boris T. Polyak’s 80th birthday. Selected papers based on the presentations at the international conference, Moscow, Russia, May, 13–15, 2015. Cham: Springer (ISBN 978-3-319-42054-7/hbk; 978-3-319-42056-1/ebook). Springer Optimization and Its Applications 115, 1-16 (2016). MSC: 90C06 PDF BibTeX XML Cite \textit{N. Andrei}, Springer Optim. Appl. 115, 1--16 (2016; Zbl 1354.90072) Full Text: DOI OpenURL
Sellami, Badreddine; Chaib, Yacine New conjugate gradient method for unconstrained optimization. (English) Zbl 1357.65076 RAIRO, Oper. Res. 50, No. 4-5, 1013-1026 (2016). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C25 90C26 90C27 90C30 90C06 PDF BibTeX XML Cite \textit{B. Sellami} and \textit{Y. Chaib}, RAIRO, Oper. Res. 50, No. 4--5, 1013--1026 (2016; Zbl 1357.65076) Full Text: DOI OpenURL
Yashtini, Maryam On the global convergence rate of the gradient descent method for functions with Hölder continuous gradients. (English) Zbl 1353.90151 Optim. Lett. 10, No. 6, 1361-1370 (2016). MSC: 90C30 90C52 PDF BibTeX XML Cite \textit{M. Yashtini}, Optim. Lett. 10, No. 6, 1361--1370 (2016; Zbl 1353.90151) Full Text: DOI OpenURL
Hager, William W.; Zhang, Hongchao Projection onto a polyhedron that exploits sparsity. (English) Zbl 1346.90653 SIAM J. Optim. 26, No. 3, 1773-1798 (2016). MSC: 90C20 90C06 90C25 65Y20 PDF BibTeX XML Cite \textit{W. W. Hager} and \textit{H. Zhang}, SIAM J. Optim. 26, No. 3, 1773--1798 (2016; Zbl 1346.90653) Full Text: DOI OpenURL
Iiduka, Hideaki Line search fixed point algorithms based on nonlinear conjugate gradient directions: application to constrained smooth convex optimization. (English) Zbl 1342.47087 Fixed Point Theory Appl. 2016, Paper No. 77, 32 p. (2016). MSC: 47N10 65K05 90C25 PDF BibTeX XML Cite \textit{H. Iiduka}, Fixed Point Theory Appl. 2016, Paper No. 77, 32 p. (2016; Zbl 1342.47087) Full Text: DOI arXiv OpenURL
Du, Xuewu; Zhang, Peng; Ma, Wenya Some modified conjugate gradient methods for unconstrained optimization. (English) Zbl 1335.90095 J. Comput. Appl. Math. 305, 92-114 (2016). MSC: 90C30 90C25 65K05 PDF BibTeX XML Cite \textit{X. Du} et al., J. Comput. Appl. Math. 305, 92--114 (2016; Zbl 1335.90095) Full Text: DOI OpenURL
Salleh, Zabidin; Alhawarat, Ahmad An efficient modification of the Hestenes-Stiefel nonlinear conjugate gradient method with restart property. (English) Zbl 1337.65048 J. Inequal. Appl. 2016, Paper No. 110, 14 p. (2016). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{Z. Salleh} and \textit{A. Alhawarat}, J. Inequal. Appl. 2016, Paper No. 110, 14 p. (2016; Zbl 1337.65048) Full Text: DOI OpenURL
Stich, S. U.; Müller, C. L.; Gärtner, B. Variable metric random pursuit. (English) Zbl 1342.90137 Math. Program. 156, No. 1-2 (A), 549-579 (2016). MSC: 90C25 90C56 90C53 68Q25 PDF BibTeX XML Cite \textit{S. U. Stich} et al., Math. Program. 156, No. 1--2 (A), 549--579 (2016; Zbl 1342.90137) Full Text: DOI arXiv OpenURL
Wu, XiaoPing; Liu, LiYing; Xie, FengJie; Li, YongFei A new conjugate gradient algorithm with sufficient descent property for unconstrained optimization. (English) Zbl 1394.90559 Math. Probl. Eng. 2015, Article ID 352524, 8 p. (2015). MSC: 90C53 90C26 PDF BibTeX XML Cite \textit{X. Wu} et al., Math. Probl. Eng. 2015, Article ID 352524, 8 p. (2015; Zbl 1394.90559) Full Text: DOI OpenURL
Alhawarat, Ahmad; Mamat, Mustafa; Rivaie, Mohd; Salleh, Zabidin An efficient hybrid conjugate gradient method with the strong Wolfe-Powell line search. (English) Zbl 1394.90556 Math. Probl. Eng. 2015, Article ID 103517, 7 p. (2015). MSC: 90C52 90C53 PDF BibTeX XML Cite \textit{A. Alhawarat} et al., Math. Probl. Eng. 2015, Article ID 103517, 7 p. (2015; Zbl 1394.90556) Full Text: DOI OpenURL
Li, Min; Qu, Aiping A sufficient descent Liu-Storey conjugate gradient method and its global convergence. (English) Zbl 1337.90084 Optimization 64, No. 9, 1919-1934 (2015). MSC: 90C53 65K05 PDF BibTeX XML Cite \textit{M. Li} and \textit{A. Qu}, Optimization 64, No. 9, 1919--1934 (2015; Zbl 1337.90084) Full Text: DOI OpenURL
Yang, Yaguang A globally and quadratically convergent algorithm with efficient implementation for unconstrained optimization. (English) Zbl 1401.90177 Comput. Appl. Math. 34, No. 3, 1219-1236 (2015). MSC: 90C26 65K05 PDF BibTeX XML Cite \textit{Y. Yang}, Comput. Appl. Math. 34, No. 3, 1219--1236 (2015; Zbl 1401.90177) Full Text: DOI arXiv OpenURL
Kostić, Vladimir R.; Miȩdlar, Agnieszka; Stolwijk, Jeroen J. On matrix nearness problems: distance to delocalization. (English) Zbl 1328.65090 SIAM J. Matrix Anal. Appl. 36, No. 2, 435-460 (2015). MSC: 65F15 15A18 15A22 PDF BibTeX XML Cite \textit{V. R. Kostić} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 435--460 (2015; Zbl 1328.65090) Full Text: DOI Link OpenURL
Andrei, Neculai A new three-term conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1321.65092 Numer. Algorithms 68, No. 2, 305-321 (2015). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C20 90C25 90C06 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Algorithms 68, No. 2, 305--321 (2015; Zbl 1321.65092) Full Text: DOI OpenURL
Ibrahim, Mohd Asrul Hery; Mamat, Mustafa; Leong, Wah June The hybrid BFGS-CG method in solving unconstrained optimization problems. (English) Zbl 1470.90159 Abstr. Appl. Anal. 2014, Article ID 507102, 6 p. (2014). MSC: 90C53 90C30 PDF BibTeX XML Cite \textit{M. A. H. Ibrahim} et al., Abstr. Appl. Anal. 2014, Article ID 507102, 6 p. (2014; Zbl 1470.90159) Full Text: DOI OpenURL
Liu, Dongyi; Zhang, Liping; Xu, Genqi Spectral method and its application to the conjugate gradient method. (English) Zbl 1336.65043 Appl. Math. Comput. 240, 339-347 (2014). MSC: 65F10 65K05 90C52 PDF BibTeX XML Cite \textit{D. Liu} et al., Appl. Math. Comput. 240, 339--347 (2014; Zbl 1336.65043) Full Text: DOI OpenURL
Li, Min; Qu, Aiping Some sufficient descent conjugate gradient methods and their global convergence. (English) Zbl 1307.90171 Comput. Appl. Math. 33, No. 2, 333-347 (2014). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{M. Li} and \textit{A. Qu}, Comput. Appl. Math. 33, No. 2, 333--347 (2014; Zbl 1307.90171) Full Text: DOI OpenURL
Wu, Xiang; Zhang, Kanjian; Sun, Changyin Constrained optimal control of switched systems based on modified BFGS algorithm and filled function method. (English) Zbl 1304.49060 Int. J. Comput. Math. 91, No. 8, 1713-1729 (2014). MSC: 49M30 49J15 49K15 93C30 93C15 PDF BibTeX XML Cite \textit{X. Wu} et al., Int. J. Comput. Math. 91, No. 8, 1713--1729 (2014; Zbl 1304.49060) Full Text: DOI OpenURL
Abramson, Mark A.; Frimannslund, Lennart; Steihaug, Trond A subclass of generating set search with convergence to second-order stationary points. (English) Zbl 1298.90101 Optim. Methods Softw. 29, No. 5, 900-918 (2014). MSC: 90C30 90C56 65K05 PDF BibTeX XML Cite \textit{M. A. Abramson} et al., Optim. Methods Softw. 29, No. 5, 900--918 (2014; Zbl 1298.90101) Full Text: DOI OpenURL
Andrei, Neculai An accelerated subspace minimization three-term conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1301.65041 Numer. Algorithms 65, No. 4, 859-874 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C06 90C30 90C25 PDF BibTeX XML Cite \textit{N. Andrei}, Numer. Algorithms 65, No. 4, 859--874 (2014; Zbl 1301.65041) Full Text: DOI OpenURL
Babaie-Kafaki, Saman; Ghanbari, Reza Two hybrid nonlinear conjugate gradient methods based on a modified secant equation. (English) Zbl 1297.65065 Optimization 63, No. 7, 1027-1042 (2014). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C53 90C06 90C25 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki} and \textit{R. Ghanbari}, Optimization 63, No. 7, 1027--1042 (2014; Zbl 1297.65065) Full Text: DOI OpenURL
Stachurski, Andrzej Oblique projections, Broyden restricted class and limited-memory quasi-Newton methods. (English) Zbl 1288.90129 Optimization 63, No. 1, 129-144 (2014). MSC: 90C53 47A64 90C30 90C20 47A05 47A07 PDF BibTeX XML Cite \textit{A. Stachurski}, Optimization 63, No. 1, 129--144 (2014; Zbl 1288.90129) Full Text: DOI OpenURL
Babaie-Kafaki, Saman; Ghanbari, Reza A descent family of Dai-Liao conjugate gradient methods. (English) Zbl 1285.90063 Optim. Methods Softw. 29, No. 3, 583-591 (2014). MSC: 90C30 90C52 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki} and \textit{R. Ghanbari}, Optim. Methods Softw. 29, No. 3, 583--591 (2014; Zbl 1285.90063) Full Text: DOI OpenURL
Babaie-Kafaki, Saman Two modified scaled nonlinear conjugate gradient methods. (English) Zbl 1278.65086 J. Comput. Appl. Math. 261, 172-182 (2014). MSC: 65K05 90C53 49M37 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki}, J. Comput. Appl. Math. 261, 172--182 (2014; Zbl 1278.65086) Full Text: DOI OpenURL
Leong, Wah June; Goh, Bean San Convergence and stability of line search methods for unconstrained optimization. (English) Zbl 1303.65047 Acta Appl. Math. 127, No. 1, 155-167 (2013). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{W. J. Leong} and \textit{B. S. Goh}, Acta Appl. Math. 127, No. 1, 155--167 (2013; Zbl 1303.65047) Full Text: DOI Link OpenURL
Andrei, Neculai On three-term conjugate gradient algorithms for unconstrained optimization. (English) Zbl 1274.90372 Appl. Math. Comput. 219, No. 11, 6316-6327 (2013). MSC: 90C30 65K10 PDF BibTeX XML Cite \textit{N. Andrei}, Appl. Math. Comput. 219, No. 11, 6316--6327 (2013; Zbl 1274.90372) Full Text: DOI OpenURL
Babaie-Kafaki, Saman On the sufficient descent property of the Shanno’s conjugate gradient method. (English) Zbl 1269.90106 Optim. Lett. 7, No. 4, 831-837 (2013). MSC: 90C30 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki}, Optim. Lett. 7, No. 4, 831--837 (2013; Zbl 1269.90106) Full Text: DOI OpenURL
Babaie-Kafaki, Saman A quadratic hybridization of Polak-Ribière-Polyak and Fletcher-Reeves conjugate gradient methods. (English) Zbl 1256.90050 J. Optim. Theory Appl. 154, No. 3, 916-932 (2012). MSC: 90C52 90C30 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki}, J. Optim. Theory Appl. 154, No. 3, 916--932 (2012; Zbl 1256.90050) Full Text: DOI OpenURL
Andrei, Neculai An accelerated conjugate gradient algorithm with guaranteed descent and conjugacy conditions for unconstrained optimization. (English) Zbl 1253.49017 Optim. Methods Softw. 27, No. 4-5, 583-604 (2012). MSC: 49M20 65K05 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, Optim. Methods Softw. 27, No. 4--5, 583--604 (2012; Zbl 1253.49017) Full Text: DOI OpenURL
Babaie-Kafaki, Saman A note on the global convergence theorem of the scaled conjugate gradient algorithms proposed by Andrei. (English) Zbl 1269.90105 Comput. Optim. Appl. 52, No. 2, 409-414 (2012). MSC: 90C30 PDF BibTeX XML Cite \textit{S. Babaie-Kafaki}, Comput. Optim. Appl. 52, No. 2, 409--414 (2012; Zbl 1269.90105) Full Text: DOI OpenURL
Zhang, Yang; Wang, Kairong A new general form of conjugate gradient methods with guaranteed descent and strong global convergence properties. (English) Zbl 1245.65069 Numer. Algorithms 60, No. 1, 135-152 (2012). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{K. Wang}, Numer. Algorithms 60, No. 1, 135--152 (2012; Zbl 1245.65069) Full Text: DOI OpenURL
Epitropakis, Michael G.; Vrahatis, Michael N. Studying the basin of convergence of methods for computing periodic orbits. (English) Zbl 1248.28010 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2079-2106 (2011). MSC: 28A80 26A18 37C25 37F99 PDF BibTeX XML Cite \textit{M. G. Epitropakis} and \textit{M. N. Vrahatis}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 8, 2079--2106 (2011; Zbl 1248.28010) Full Text: DOI OpenURL
Li, Min; Feng, Heying A sufficient descent LS conjugate gradient method for unconstrained optimization problems. (English) Zbl 1343.65071 Appl. Math. Comput. 218, No. 5, 1577-1586 (2011). MSC: 65K05 PDF BibTeX XML Cite \textit{M. Li} and \textit{H. Feng}, Appl. Math. Comput. 218, No. 5, 1577--1586 (2011; Zbl 1343.65071) Full Text: DOI OpenURL
Shi, Zhenjun; Wang, Shengquan Modified nonmonotone Armijo line search for descent method. (English) Zbl 1228.65092 Numer. Algorithms 57, No. 1, 1-25 (2011). Reviewer: Andrea Walther (Paderborn) MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{Z. Shi} and \textit{S. Wang}, Numer. Algorithms 57, No. 1, 1--25 (2011; Zbl 1228.65092) Full Text: DOI OpenURL
Andrei, Neculai New accelerated conjugate gradient algorithms as a modification of Dai-Yuan’s computational scheme for unconstrained optimization. (English) Zbl 1407.65060 J. Comput. Appl. Math. 234, No. 12, 3397-3410 (2010). MSC: 65K05 90C30 90C52 PDF BibTeX XML Cite \textit{N. Andrei}, J. Comput. Appl. Math. 234, No. 12, 3397--3410 (2010; Zbl 1407.65060) Full Text: DOI OpenURL
Andrei, Neculai Accelerated scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1189.90151 Eur. J. Oper. Res. 204, No. 3, 410-420 (2010). MSC: 90C30 90C52 PDF BibTeX XML Cite \textit{N. Andrei}, Eur. J. Oper. Res. 204, No. 3, 410--420 (2010; Zbl 1189.90151) Full Text: DOI OpenURL
Cheng, Wanyou; Zhang, Zongguo A truncated descent HS conjugate gradient method and its global convergence. (English) Zbl 1181.90288 Math. Probl. Eng. 2009, Article ID 875097, 13 p. (2009). MSC: 90C52 90C30 65K10 PDF BibTeX XML Cite \textit{W. Cheng} and \textit{Z. Zhang}, Math. Probl. Eng. 2009, Article ID 875097, 13 p. (2009; Zbl 1181.90288) Full Text: DOI EuDML OpenURL
Andrei, Neculai Accelerated conjugate gradient algorithm with finite difference Hessian/vector product approximation for unconstrained optimization. (English) Zbl 1170.65046 J. Comput. Appl. Math. 230, No. 2, 570-582 (2009). Reviewer: Bülent Karasözen (Ankara) MSC: 65K05 90C06 90C30 PDF BibTeX XML Cite \textit{N. Andrei}, J. Comput. Appl. Math. 230, No. 2, 570--582 (2009; Zbl 1170.65046) Full Text: DOI OpenURL
Iiduka, H. Hybrid conjugate gradient method for a convex optimization problem over the fixed-point set of a nonexpansive mapping. (English) Zbl 1176.90459 J. Optim. Theory Appl. 140, No. 3, 463-475 (2009). Reviewer: Igor V. Konnov (Kazan) MSC: 90C25 47H09 90C52 PDF BibTeX XML Cite \textit{H. Iiduka}, J. Optim. Theory Appl. 140, No. 3, 463--475 (2009; Zbl 1176.90459) Full Text: DOI OpenURL
Galligani, Emanuele On solving a special class of weakly nonlinear finite-difference systems. (English) Zbl 1177.65165 Int. J. Comput. Math. 86, No. 3, 503-522 (2009). Reviewer: János Karátson (Budapest) MSC: 65N06 65H10 35J65 PDF BibTeX XML Cite \textit{E. Galligani}, Int. J. Comput. Math. 86, No. 3, 503--522 (2009; Zbl 1177.65165) Full Text: DOI OpenURL
Labat, C.; Idier, J. Convergence of conjugate gradient methods with a closed-form stepsize formula. (English) Zbl 1197.90338 J. Optim. Theory Appl. 136, No. 1, 43-60 (2008). MSC: 90C52 90C30 PDF BibTeX XML Cite \textit{C. Labat} and \textit{J. Idier}, J. Optim. Theory Appl. 136, No. 1, 43--60 (2008; Zbl 1197.90338) Full Text: DOI OpenURL
Andrei, Neculai A scaled nonlinear conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1338.90457 Optimization 57, No. 4, 549-570 (2008). MSC: 90C52 65K10 90C26 PDF BibTeX XML Cite \textit{N. Andrei}, Optimization 57, No. 4, 549--570 (2008; Zbl 1338.90457) Full Text: DOI OpenURL
Hager, William W.; Zhang, Hongchao Self-adaptive inexact proximal point methods. (English) Zbl 1147.90414 Comput. Optim. Appl. 39, No. 2, 161-181 (2008). MSC: 90C55 PDF BibTeX XML Cite \textit{W. W. Hager} and \textit{H. Zhang}, Comput. Optim. Appl. 39, No. 2, 161--181 (2008; Zbl 1147.90414) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{N. Andrei}, Comput. Optim. Appl. 38, No. 3, 401--416 (2007; Zbl 1168.90608) Full Text: DOI OpenURL
Andrei, Neculai Scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1270.90068 Optim. Methods Softw. 22, No. 4, 561-571 (2007); erratum ibid. 28, No. 1, 217-219 (2013). MSC: 90C30 90C52 PDF BibTeX XML Cite \textit{N. Andrei}, Optim. Methods Softw. 22, No. 4, 561--571 (2007; Zbl 1270.90068) Full Text: DOI OpenURL
Andrei, Neculai A scaled BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1116.90114 Appl. Math. Lett. 20, No. 6, 645-650 (2007). MSC: 90C52 90C30 65K05 PDF BibTeX XML Cite \textit{N. Andrei}, Appl. Math. Lett. 20, No. 6, 645--650 (2007; Zbl 1116.90114) Full Text: DOI OpenURL
Li, Guoyin; Tang, Chunming; Wei, Zengxin New conjugacy condition and related new conjugate gradient methods for unconstrained optimization. (English) Zbl 1116.65069 J. Comput. Appl. Math. 202, No. 2, 523-539 (2007). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C26 90C30 90C53 PDF BibTeX XML Cite \textit{G. Li} et al., J. Comput. Appl. Math. 202, No. 2, 523--539 (2007; Zbl 1116.65069) Full Text: DOI OpenURL
Solow, Daniel; Li, Hantao A constrained optimization approach to solving certain systems of convex equations. (English) Zbl 1102.90042 Eur. J. Oper. Res. 176, No. 3, 1334-1347 (2007). MSC: 90C25 PDF BibTeX XML Cite \textit{D. Solow} and \textit{H. Li}, Eur. J. Oper. Res. 176, No. 3, 1334--1347 (2007; Zbl 1102.90042) Full Text: DOI OpenURL
Magoulas, George D.; Vrahatis, Michael N. Adaptive algorithms for neural network supervised learning: a deterministic optimization approach. (English) Zbl 1156.92004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 7, 1929-1950 (2006). MSC: 92B20 68T05 90C90 90C30 PDF BibTeX XML Cite \textit{G. D. Magoulas} and \textit{M. N. Vrahatis}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 7, 1929--1950 (2006; Zbl 1156.92004) Full Text: DOI OpenURL