He, Qing-Rui; Li, Sheng-Jie; Zhang, Bo-Ya; Chen, Chun-Rong A family of conjugate gradient methods with guaranteed positiveness and descent for vector optimization. (English) Zbl 07948913 Comput. Optim. Appl. 89, No. 3, 805-842 (2024). MSC: 90Cxx 90C29 90C52 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Nosrati, Mahsa; Amini, Keyvan A new structured spectral conjugate gradient method for nonlinear least squares problems. (English) Zbl 07925698 Numer. Algorithms 97, No. 2, 897-914 (2024). MSC: 65K05 90C53 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Cuixia; Wu, Shiliang A two-step matrix splitting method for the mixed linear complementarity problem. (English) Zbl 1548.65083 J. Appl. Anal. Comput. 14, No. 5, 2750-2761 (2024). MSC: 65F10 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Guefassa, Imane; Chaib, Yacine; Bechouat, Tahar Another hybrid conjugate gradient method as a convex combination of WYL and CD methods. (English) Zbl 07922092 Monte Carlo Methods Appl. 30, No. 3, 225-234 (2024). MSC: 90C30 65K05 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
Meansri, Khaoula; Benrabia, Noureddine; Ghiat, Mourad; Guebbai, Hamza; Hafaidia, Imane The best spectral correction of DMDY conjugate gradient method. (English) Zbl 1549.90083 Ann. Acad. Rom. Sci., Math. Appl. 16, No. 1, 24-42 (2024). MSC: 90C06 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Zhibin; Zhu, Xiaowen; Tan, Zhen An accelerated conjugate gradient method with adaptive two-parameter with applications in image restoration. (English) Zbl 1549.90155 Comput. Appl. Math. 43, No. 3, Paper No. 116, 20 p. (2024). MSC: 90C30 90C06 90C26 90C53 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Qingjie; Zhang, Hongrun; Zhou, Zhijuan; Chen, Yu A class of improved conjugate gradient methods for nonconvex unconstrained optimization. (English) Zbl 07729597 Numer. Linear Algebra Appl. 30, No. 4, e2482, 18 p. (2023). MSC: 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Yuan, Gonglin; Chen, Xiaoxuan; Zhou, Yingjie; Pham, Hongtruong Globally convergent conjugate gradient algorithms without the Lipschitz condition for nonconvex optimization. (English) Zbl 1524.90264 J. Ind. Manag. Optim. 19, No. 10, 7167-7179 (2023). MSC: 90C26 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Amini, Keyvan; Faramarzi, Parvaneh An adaptive modified three-term conjugate gradient method with global convergence. (English) Zbl 1527.65046 Appl. Numer. Math. 190, 187-199 (2023). MSC: 65K10 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang Modified globally convergent Polak-Ribière-Polyak conjugate gradient methods with self-correcting property for large-scale unconstrained optimization. (English) Zbl 07707385 Numer. Algorithms 93, No. 2, 765-783 (2023). MSC: 65-XX 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Cui-Xia; Wu, Shi-Liang Modulus-based matrix splitting methods for complex linear complementarity problem. (English) Zbl 1512.65051 J. Comput. Appl. Math. 427, Article ID 115139, 17 p. (2023). MSC: 65F10 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yu; Kuang, Kai; Yan, Xueling A modified PRP-type conjugate gradient algorithm with complexity analysis and its application to image restoration problems. (English) Zbl 1519.90183 J. Comput. Appl. Math. 427, Article ID 115105, 17 p. (2023). MSC: 90C26 90C33 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiaoliang; Yuan, Gonglin; Pang, Liping A class of new three-term descent conjugate gradient algorithms for large-scale unconstrained optimization and applications to image restoration problems. (English) Zbl 07694955 Numer. Algorithms 93, No. 3, 949-970 (2023). MSC: 65-XX 90C26 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yuting Globally convergent Dai-Liao conjugate gradient method using quasi-Newton update for unconstrained optimization. (English) Zbl 1516.65044 Commun. Math. Sci. 21, No. 1, 281-297 (2022). MSC: 65K05 90C06 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Khoshsimaye-Bargard, Maryam; Ashrafi, Ali A descent family of three-term conjugate gradient methods with global convergence for general functions. (English) Zbl 1506.90247 Pac. J. Optim. 18, No. 3, 529-543 (2022). MSC: 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Hong-wei; Xiong, Yun-yang; Hu, Hui; Yan, Jia-cong; Hu, Qian-qian The convergence rate and necessary-and-sufficient condition for the consistency of isogeometric collocation method. (English) Zbl 1513.65484 Appl. Math., Ser. B (Engl. Ed.) 37, No. 2, 272-289 (2022). MSC: 65N35 65N12 41A25 65D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Najm, Huda Y.; Ahmed, Huda I. A new investigation of the conjugate gradient method for solving unconstrained optimization problems. (English) Zbl 1513.65199 Int. J. Math. Comput. Sci. 17, No. 3, 1241-1250 (2022). MSC: 65K10 × Cite Format Result Cite Review PDF Full Text: Link
Aminifard, Zohre; Babaie-Kafaki, Saman Dai-Liao extensions of a descent hybrid nonlinear conjugate gradient method with application in signal processing. (English) Zbl 1484.65132 Numer. Algorithms 89, No. 3, 1369-1387 (2022). MSC: 65K10 90C53 49M37 94A08 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Qingjie; Zhang, Hongrun; Chen, Yu Global convergence of a descent PRP type conjugate gradient method for nonconvex optimization. (English) Zbl 1484.65122 Appl. Numer. Math. 173, 38-50 (2022). MSC: 65K05 90C30 90C52 90C06 90C26 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiao-Liang; Dai, Zhi-Feng; Ghanbari, Reza; Li, Xiang-Li An adaptive three-term conjugate gradient method with sufficient descent condition and conjugacy condition. (English) Zbl 1488.49058 J. Oper. Res. Soc. China 9, No. 2, 411-425 (2021). MSC: 49M37 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Hang, Nguyen T. V.; Sarabi, M. Ebrahim Local convergence analysis of augmented Lagrangian methods for piecewise linear-quadratic composite optimization problems. (English) Zbl 1479.90198 SIAM J. Optim. 31, No. 4, 2665-2694 (2021). MSC: 90C31 65K99 49J52 49J53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Jian; Li, Xinliang A sufficient and necessary condition of the existence of WENO-like linear combination for finite difference schemes. (English) Zbl 1473.65109 Commun. Comput. Phys. 29, No. 2, 534-570 (2021). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wang, Xiang; Zhang, Yuqing On the construction and analysis of finite volume element schemes with optimal \(L^2\) convergence rate. (English) Zbl 1488.65204 Numer. Math., Theory Methods Appl. 14, No. 1, 47-70 (2021). MSC: 65L60 65L10 65L20 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Keke; Liu, Hongwei; Liu, Zexian A new adaptive subspace minimization three-term conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1474.90455 J. Comput. Math. 39, No. 2, 159-177 (2021). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Vanhille, Christian A note on the convergence of the irrational Halley’s iterative algorithm for solving nonlinear equations. (English) Zbl 1480.65118 Int. J. Comput. Math. 97, No. 9, 1840-1848 (2020). MSC: 65H05 65H04 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Wenhao; Chen, Zhongwen Superlinear convergence of an SQP-type method for nonlinear semidefinite programming. (English) Zbl 1488.90135 Int. J. Numer. Anal. Model. 17, No. 4, 592-612 (2020). MSC: 90C22 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: Link
Aminifard, Zohre; Babaie-Kafaki, Saman Modified spectral conjugate gradient methods based on the quasi-Newton aspects. (English) Zbl 1457.90171 Pac. J. Optim. 16, No. 4, 581-594 (2020). MSC: 90C53 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: Link
Faramarzi, Parvaneh; Amini, Keyvan A modified conjugate gradient method based on a modified secant equation. (English) Zbl 1474.90438 J. Math. Model. 8, No. 1, 1-20 (2020). MSC: 90C30 90C06 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang A modified nonlinear Polak-Ribière-Polyak conjugate gradient method with sufficient descent property. (English) Zbl 1451.90152 Calcolo 57, No. 3, Paper No. 30, 14 p. (2020). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Anurag; Kaur, Bhavneet An improvement of third order WENO scheme for convergence rate at critical points with new non-linear weights. (English) Zbl 1453.65224 Differ. Equ. Dyn. Syst. 28, No. 3, 539-557 (2020). MSC: 65M06 65L06 65M12 35B33 × Cite Format Result Cite Review PDF Full Text: DOI
Sellami, Badreddine; Chiheb Eddine Sellami, Mohamed Global convergence of a modified Fletcher-Reeves conjugate gradient method with Wolfe line search. (English) Zbl 1464.65058 Asian-Eur. J. Math. 13, No. 4, Article ID 2050081, 10 p. (2020). MSC: 65K05 90C25 90C26 90C27 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Ilie, Mousa; Biazar, Jafar; Ayati, Zainab Neumann method for solving conformable fractional Volterra integral equations. (English) Zbl 1449.45003 Comput. Methods Differ. Equ. 8, No. 1, 54-68 (2020). MSC: 45D05 65R20 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Börgens, Eike; Kanzow, Christian; Steck, Daniel Local and global analysis of multiplier methods for constrained optimization in Banach spaces. (English) Zbl 1431.90176 SIAM J. Control Optim. 57, No. 6, 3694-3722 (2019). MSC: 90C48 90C30 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Faramarzi, Parvaneh; Amini, Keyvan A modified spectral conjugate gradient method with global convergence. (English) Zbl 1422.90053 J. Optim. Theory Appl. 182, No. 2, 667-690 (2019). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Nakayama, Shummin; Narushima, Yasushi; Yabe, Hiroshi Memoryless quasi-Newton methods based on spectral-scaling Broyden family for unconstrained optimization. (English) Zbl 1438.90331 J. Ind. Manag. Optim. 15, No. 4, 1773-1793 (2019). MSC: 90C30 90C06 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Aminifard, Zohre; Babaie-Kafaki, Saman A modified descent Polak-Ribiére-Polyak conjugate gradient method with global convergence property for nonconvex functions. (English) Zbl 1415.90147 Calcolo 56, No. 2, Paper No. 16, 11 p. (2019). MSC: 90C53 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Amini, Keyvan; Faramarzi, Parvaneh; Pirfalah, Nasrin A modified Hestenes-Stiefel conjugate gradient method with an optimal property. (English) Zbl 1461.65114 Optim. Methods Softw. 34, No. 4, 770-782 (2019). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiao-Liang; Liu, Ze-Xian; Liu, Hong-Wei; Li, Xiang-Li An efficient adaptive three-term extension of the Hestenes-Stiefel conjugate gradient method. (English) Zbl 1411.65081 Optim. Methods Softw. 34, No. 3, 546-559 (2019). MSC: 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Zhongbo; Li, Hongyang; Wang, Jing; Tian, Yantao Two modified spectral conjugate gradient methods and their global convergence for unconstrained optimization. (English) Zbl 1499.65230 Int. J. Comput. Math. 95, No. 10, 2082-2099 (2018). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Tsegay, Giday Woldu; Zhang, Haibin; Zhang, Xin; Zhang, Fang A sufficient descent conjugate gradient method for nonlinear unconstrained optimization problems. (Chinese. English summary) Zbl 1438.90339 Oper. Res. Trans. 22, No. 3, 59-68 (2018). MSC: 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Nakayama, Shummin A hybrid method of three-term conjugate gradient method and memoryless quasi-Newton method for unconstrained optimization. (English) Zbl 1422.90055 SUT J. Math. 54, No. 1, 79-98 (2018). MSC: 90C30 90C06 × Cite Format Result Cite Review PDF
Dong, Xiaoliang; Li, Weijun Global convergence of a new Wei-Yao-Liu type conjugate gradient method. (Chinese. English summary) Zbl 1424.65080 J. Henan Norm. Univ., Nat. Sci. 46, No. 4, 107-112 (2018). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Koorapetse, Mompati S.; Kaelo, P. Globally convergent three-term conjugate gradient projection methods for solving nonlinear monotone equations. (English) Zbl 1412.90142 Arab. J. Math. 7, No. 4, 289-301 (2018). MSC: 90C30 90C56 65K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, XiaoLiang; Han, Deren; Dai, Zhifeng; Li, Lixiang; Zhu, Jianguang An accelerated three-term conjugate gradient method with sufficient descent condition and conjugacy condition. (English) Zbl 1402.90176 J. Optim. Theory Appl. 179, No. 3, 944-961 (2018). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Yanyun; Xiao, Yunhai; Li, Jianwei A class of conjugate gradient methods for convex constrained monotone equations. (English) Zbl 1383.90037 Optimization 66, No. 12, 2309-2328 (2017). MSC: 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Kobayashi, Hiroshi; Narushima, Yasushi; Yabe, Hiroshi Descent three-term conjugate gradient methods based on secant conditions for unconstrained optimization. (English) Zbl 1375.90283 Optim. Methods Softw. 32, No. 6, 1313-1329 (2017). MSC: 90C30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang; He, Yubo; Kong, Xiangyu; Li, Weijun A new conjugate gradient method with strongly global convergence and sufficient descent condition. (English) Zbl 1389.90301 J. Math., Wuhan Univ. 37, No. 2, 231-238 (2017). MSC: 90C30 65K10 × Cite Format Result Cite Review PDF
Dong, Xiao-Liang; Han, De-Ren; Ghanbari, Reza; Li, Xiang-Li; Dai, Zhi-Feng Some new three-term Hestenes-Stiefel conjugate gradient methods with affine combination. (English) Zbl 1375.90281 Optimization 66, No. 5, 759-776 (2017). MSC: 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiao-Liang; Liu, Hong-Wei; Li, Xiang-Li; He, Yu-Bo; Liu, Ze-Xian A modified nonmonotone hestenes-Stiefel type conjugate gradient methods for large-scale unconstrained problems. (English) Zbl 1362.90341 Numer. Funct. Anal. Optim. 38, No. 1, 39-50 (2017). MSC: 90C30 90C06 90C52 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Yuanyuan; Liu, Changhe Dai-Kou type conjugate gradient methods with a line search only using gradient. (English) Zbl 1362.65062 J. Inequal. Appl. 2017, Paper No. 66, 17 p. (2017). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiao Liang; Li, Wei Jun; He, Yu Bo Some modified Yabe-Takano conjugate gradient methods with sufficient descent condition. (English) Zbl 1358.49027 RAIRO, Oper. Res. 51, No. 1, 67-77 (2017). MSC: 49M37 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, XiaoLiang; Liu, Hongwei; He, Yubo; Babaie-Kafaki, Saman; Ghanbari, Reza A new three-term conjugate gradient method with descent direction for unconstrained optimization. (English) Zbl 1488.49059 Math. Model. Anal. 21, No. 3, 399-411 (2016). MSC: 49M37 65K05 90C53 × Cite Format Result Cite Review PDF Full Text: DOI
Ghani, Nur Hamizah Abdul; Rivaie, Mohd.; Mamat, Mustafa A modified form of conjugate gradient method for unconstrained optimization problems. (English) Zbl 1468.90145 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 020076, 8 p. (2016). MSC: 90C52 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xlaoliang; He, Yubo A modified THREECG conjugate gradient method with sufficient descent condition and adaptive conjugacy condition. (Chinese. English summary) Zbl 1363.90191 Acta Math. Appl. Sin. 39, No. 1, 58-70 (2016). MSC: 90C26 65K05 × Cite Format Result Cite Review PDF
Ahmad Ali, Ahmad; Deckelnick, Klaus; Hinze, Michael Global minima for semilinear optimal control problems. (English) Zbl 1354.49048 Comput. Optim. Appl. 65, No. 1, 261-288 (2016). MSC: 49K20 49J20 49M25 49M05 49M29 35J61 65M12 65M60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dong, XiaoLiang Comment on “A new three-term conjugate gradient method for unconstrained problem”. (English) Zbl 1346.90765 Numer. Algorithms 72, No. 1, 173-179 (2016). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiao Liang; Liu, Hong Wei; He, Yu Bo New version of the three-term conjugate gradient method based on spectral scaling conjugacy condition that generates descent search direction. (English) Zbl 1410.90195 Appl. Math. Comput. 269, 606-617 (2015). MSC: 90C30 65K10 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang; Yang, Ximei; Huang, Yuanyuan Global convergence of a new conjugate gradient method with Armijo search. (Chinese. English summary) Zbl 1349.90778 J. Henan Norm. Univ., Nat. Sci. 43, No. 6, 25-29 (2015). MSC: 90C31 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xuesha Global convergence of a hybrid conjugate gradient method. (English) Zbl 1349.90771 Chin. Q. J. Math. 30, No. 3, 408-415 (2015). MSC: 90C30 65K05 90C31 × Cite Format Result Cite Review PDF Full Text: DOI
Saman, Babaiekafaki A modified three-term conjugate gradient method with sufficient descent property. (English) Zbl 1349.90786 Appl. Math., Ser. B (Engl. Ed.) 30, No. 3, 263-272 (2015). MSC: 90C31 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Qunying Further study of complete convergence for weighted sums of PNQD random variables. (English) Zbl 1332.62083 J. Inequal. Appl. 2015, Paper No. 289, 7 p. (2015). MSC: 62F12 × Cite Format Result Cite Review PDF Full Text: DOI
Babaie-Kafaki, Saman; Ghanbari, Reza An extended three-term conjugate gradient method with sufficient descent property. (English) Zbl 1340.65118 Miskolc Math. Notes 16, No. 1, 45-55 (2015). MSC: 65K05 90C53 90C30 × Cite Format Result Cite Review PDF
Dong, Xiao Liang; Liu, Hongwei; Xu, Yin Ling; Yang, Xi Mei Some nonlinear conjugate gradient methods with sufficient descent condition and global convergence. (English) Zbl 1332.90344 Optim. Lett. 9, No. 7, 1421-1432 (2015). MSC: 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, XiaoLiang; Liu, Hongwei; He, Yubo A self-adjusting conjugate gradient method with sufficient descent condition and conjugacy condition. (English) Zbl 1322.90094 J. Optim. Theory Appl. 165, No. 1, 225-241 (2015). MSC: 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiao Liang; Liu, Hong Wei; He, Yu Bo; Yang, Xi Mei A modified Hestenes-Stiefel conjugate gradient method with sufficient descent condition and conjugacy condition. (English) Zbl 1309.65074 J. Comput. Appl. Math. 281, 239-249 (2015). MSC: 65K10 90C53 65F10 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Hai; Lin, Suihua A modified Wei-Yao-Liu conjugate gradient method for unconstrained optimization. (English) Zbl 1410.90245 Appl. Math. Comput. 231, 179-186 (2014). MSC: 90C52 90C26 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Xuesha Global convergence of a modified conjugate gradient method. (English) Zbl 1372.90086 J. Inequal. Appl. 2014, Paper No. 248, 12 p. (2014). MSC: 90C26 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Narushima, Yasushi; Yabe, Hiroshi A survey of sufficient descent conjugate gradient methods for unconstrained optimization. (English) Zbl 1329.90142 SUT J. Math. 50, No. 2, 167-203 (2014). MSC: 90C30 90C06 65K05 × Cite Format Result Cite Review PDF
Babaie-Kafaki, Saman On the sufficient descent condition of the Hager-Zhang conjugate gradient methods. (English) Zbl 1307.65084 4OR 12, No. 3, 285-292 (2014). Reviewer: Hans Benker (Merseburg) MSC: 65K05 90C30 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Babaie-Kafaki, Saman; Ghanbari, Reza Two modified three-term conjugate gradient methods with sufficient descent property. (English) Zbl 1309.90097 Optim. Lett. 8, No. 8, 2285-2297 (2014). MSC: 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Dan, Bin; Zhang, Yang New conjugate gradient-like methods for unconstrained optimization. (English) Zbl 1308.65090 Optim. Methods Softw. 29, No. 6, 1302-1316 (2014). Reviewer: Guoqiang Wang (Shanghai) MSC: 65K05 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Senlin; Srivastava, Hari M.; Batir, Necdet A certain class of completely monotonic sequences. (English) Zbl 1392.26017 Adv. Difference Equ. 2013, Paper No. 294, 9 p. (2013). MSC: 26A48 26A45 39A60 40A05 × Cite Format Result Cite Review PDF Full Text: DOI
Gu, Keqin Complete quadratic Lyapunov-Krasovskii functional: limitations, computational efficiency, and convergence. (English) Zbl 1308.34094 Sun, Jian-Qiao (ed.) et al., Advances in analysis and control of time-delayed dynamical systems. Selected papers of the international workshop on recent advances in analysis and control of time-delayed dynamical systems, Tianjin, China, July 2–4, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4522-02-1/hbk; 978-981-4525-51-0/ebook). 1-19 (2013). MSC: 34K20 34K06 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang; Gao, Yuelin; He, Yubo A hybrid HS-PRP conjugate gradient method with Armijo line search. (Chinese. English summary) Zbl 1299.65117 Chin. J. Eng. Math. 30, No. 3, 370-376 (2013). MSC: 65K05 90C30 90C52 90C06 × Cite Format Result Cite Review PDF Full Text: DOI
Babaie-Kafaki, Saman A modified scaled memoryless BFGS preconditioned conjugate gradient method for unconstrained optimization. (English) Zbl 1292.65061 4OR 11, No. 4, 361-374 (2013). MSC: 65K05 90C53 49M37 × Cite Format Result Cite Review PDF Full Text: DOI
Babaie-Kafaki, Saman Erratum to: scaled memoryless BFGS preconditioned conjugate gradient algorithm for unconstrained optimization. (English) Zbl 1271.90080 Optim. Methods Softw. 28, No. 1, 217-219 (2013). MSC: 90C30 90C52 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Junfeng Convergence analysis of the modified nonlinear inexact Uzawa algorithm for saddle point problem. (English) Zbl 1254.65045 Int. J. Contemp. Math. Sci. 7, No. 21-24, 1067-1075 (2012). MSC: 65F10 65F50 65N22 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, D.; Solodov, M. V. Local convergence of exact and inexact augmented Lagrangian methods under the second-order sufficient optimality condition. (English) Zbl 1259.90132 SIAM J. Optim. 22, No. 2, 384-407 (2012). Reviewer: Stephan Dempe (Freiberg) MSC: 90C30 90C55 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Garcés, Rodrigo; Gómez, Walter; Jarre, Florian A sensitivity result for quadratic semidefinite programs with an application to a sequential quadratic semidefinite programming algorithm. (English) Zbl 1254.90153 Comput. Appl. Math. 31, No. 1, 205-218 (2012). MSC: 90C22 90C30 90C31 90C55 × Cite Format Result Cite Review PDF Full Text: Link
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 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang; Gao, Yuelin; He, Yubo Global convergence of an improved DY conjugate gradient method with Armijo line search. (Chinese. English summary) Zbl 1265.90268 J. Numer. Methods Comput. Appl. 32, No. 4, 253-258 (2011). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF
Garcés, Rodrigo; Gómez, Walter; Jarre, Florian A self-concordance property for nonconvex semidefinite programming. (English) Zbl 1232.49019 Math. Methods Oper. Res. 74, No. 1, 77-92 (2011). MSC: 49K10 90C22 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Lu, Sha; Wei, Zengxin; Mo, Liliu Some global convergence properties of the Wei-Yao-Liu conjugate gradient method with inexact line search. (English) Zbl 1217.65108 Appl. Math. Comput. 217, No. 17, 7132-7137 (2011). MSC: 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Zengxin; Huang, Haidong; Tao, Yanrong A modified Hestenes-Stiefel conjugate gradient method and its convergence. (English) Zbl 1240.90414 J. Math. Res. Expo. 30, No. 2, 297-308 (2010). MSC: 90C30 65K05 × Cite Format Result Cite Review PDF Full Text: DOI
Dong, Xiaoliang; Li, Chenliang; He, Yubo Global convergence of a modified DY conjugate gradient method. (Chinese. English summary) Zbl 1240.65184 J. Numer. Methods Comput. Appl. 31, No. 1, 1-7 (2010). MSC: 65K05 90C30 × Cite Format Result Cite Review PDF
Wang, Xing Tao; Li, Yuan Min Necessary and sufficient conditions for the existence of a positive definite solution of a nonlinear matrix equation. (English) Zbl 1203.15012 Int. J. Comput. Math. 87, No. 11, 2542-2551 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 65F30 × Cite Format Result Cite Review PDF Full Text: DOI
Ding, Jian; Lubetzky, Eyal; Peres, Yuval Total variation cutoff in birth-and-death chains. (English) Zbl 1190.60005 Probab. Theory Relat. Fields 146, No. 1-2, 61-85 (2010). Reviewer: Michael Voit (Dortmund) MSC: 60B10 60J27 60J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wang, Fei; Huang, Xinmin; Liu, Hua The properties of bianalytic functions with zero arc at a pole. (English) Zbl 1212.30144 J. Math. Res. Expo. 29, No. 4, 623-628 (2009). MSC: 30G30 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Mingjin; Zhao, Xilai On convergence of \(q\)-series involving \(_{r+1}\varphi_r\) basic hypergeometric series. (English) Zbl 1176.33007 J. Inequal. Appl. 2009, Article ID 170526, 9 p. (2009). MSC: 33C20 33C05 26D15 × Cite Format Result Cite Review PDF Full Text: DOI
Suzuki, Tomonari Reich’s problem concerning Halpern’s convergence. (English) Zbl 1173.47052 Arch. Math. 92, No. 6, 602-613 (2009). Reviewer: Vasile Berinde (Baia Mare) MSC: 47J25 47H09 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Dansheng; Zhou, Songping The sufficient and necessary conditions for trigonometric series belonging to \(Ba\) spaces. (Chinese. English summary) Zbl 1199.42029 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 6, 1038-1045 (2008). MSC: 42A20 × Cite Format Result Cite Review PDF
Shengwei, Yao; Wei, Zengxin; Huang, Hai A note about WYL’s conjugate gradient method and its applications. (English) Zbl 1193.90213 Appl. Math. Comput. 191, No. 2, 381-388 (2007). MSC: 90C52 65F10 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Hai; Wei, Zengxin; Shengwei, Yao The proof of the sufficient descent condition of the Wei-Yao-Liu conjugate gradient method under the strong Wolfe-Powell line search. (English) Zbl 1131.65049 Appl. Math. Comput. 189, No. 2, 1241-1245 (2007). Reviewer: Efstratios Rappos (Athens) MSC: 65K05 90C52 90C30 × Cite Format Result Cite Review PDF Full Text: DOI
Chulkov, S. P. On the convergence of formal solutions of a system of partial differential equations. (English. Russian original) Zbl 1114.35038 Funct. Anal. Appl. 39, No. 3, 215-224 (2005); translation from Funkts. Anal. Prilozh. 39, No. 3, 64-75 (2005). MSC: 35C10 35G20 × Cite Format Result Cite Review PDF Full Text: DOI