메뉴 건너뛰기




Volumn 54, Issue 3, 2013, Pages 143-152

A modified projected conjugate gradient algorithm for unconstrained optimization problems

Author keywords

global convergence; modified conjugacy condition; projected method; PRP method

Indexed keywords


EID: 84880551560     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: 10.1017/S1446181113000084     Document Type: Article
Times cited : (8)

References (15)
  • 1
    • 79955958208 scopus 로고    scopus 로고
    • Sufficient descent directions in unconstrained optimization
    • doi:10.1007/s10589-009-9268-z
    • X.-M. An, D.-H. Li and Y. Xiao, "Sufficient descent directions in unconstrained optimization", Comput. Optim. Appl. 48 (2011) 515-532; doi:10.1007/s10589-009-9268-z.
    • (2011) Comput. Optim. Appl. , vol.48 , pp. 515-532
    • An, X.-M.1    Li, D.-H.2    Xiao, Y.3
  • 2
    • 0034831849 scopus 로고    scopus 로고
    • New conjugacy conditions and related nonlinear conjugate gradient methods
    • DOI 10.1007/s002450010019
    • Y.-H. Dai and L.-Z. Liao, "New conjugate conditions and related nonlinear conjugate gradient methods", Appl. Math. Optim. 43 (2001) 87-101; doi:10.1007/s002450010019. (Pubitemid 32874187)
    • (2001) Applied Mathematics and Optimization , vol.43 , Issue.1 , pp. 87-101
    • Dai, Y.-H.1    Liao, L.-Z.2
  • 3
    • 0000615669 scopus 로고
    • Function minimization by conjugate gradients
    • doi:10.1093/comjnl/7.2.149
    • R. Fletcher and C. M. Reeves, "Function minimization by conjugate gradients", Comput. J. 7 (1964) 149-154; doi:10.1093/comjnl/7.2.149.
    • (1964) Comput. J. , vol.7 , pp. 149-154
    • Fletcher, R.1    Reeves, C.M.2
  • 4
    • 33745276908 scopus 로고    scopus 로고
    • A survey of nonlinear conjugate gradient methods
    • W. W. Hager and H. Zhang, "A survey of nonlinear conjugate gradient methods", Pac. J. Optim. 2 (2006) 35-58.
    • (2006) Pac. J. Optim. , vol.2 , pp. 35-58
    • Hager, W.W.1    Zhang, H.2
  • 5
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • doi:10.6028/jres.049.044
    • M. R. Hestenes and E. Stiefel, "Methods of conjugate gradients for solving linear systems", J. Res. Natl. Bur. Stand. B 49 (1952) 409-432; doi:10.6028/jres.049.044.
    • (1952) J. Res. Natl. Bur. Stand. B , vol.49 , pp. 409-432
    • Hestenes, M.R.1    Stiefel, E.2
  • 6
    • 84855572541 scopus 로고    scopus 로고
    • Global convergence of a modified spectral conjugate gradient method
    • Article ID 641276; doi:10.1155/2012/641276
    • H. Jiang, S. Deng, X. Zheng and Z. Wan, "Global convergence of a modified spectral conjugate gradient method", J. Appl. Math. (2012) Article ID 641276; doi:10.1155/2012/641276.
    • (2012) J. Appl. Math.
    • Jiang, H.1    Deng, S.2    Zheng, X.3    Wan, Z.4
  • 7
    • 56649117238 scopus 로고    scopus 로고
    • Guaranteed descent conjugate gradient methods with modified secant condition
    • doi:10.3934/jimo.2008.4.739
    • S. Li and Z. Huang, "Guaranteed descent conjugate gradient methods with modified secant condition", J. Indust. Manag. Optim. 4 (2008) 739-755; doi:10.3934/jimo.2008.4.739.
    • (2008) J. Indust. Manag. Optim. , vol.4 , pp. 739-755
    • Li, S.1    Huang, Z.2
  • 8
    • 84976845336 scopus 로고
    • Testing unconstrained optimization software
    • doi:10.1145/355934.355936
    • J. J. Moré, B. S. Garbow and K. E. Hillstrome, "Testing unconstrained optimization software", ACM Trans. Math. Software 7 (1981) 17-41; doi:10.1145/355934.355936.
    • (1981) ACM Trans. Math. Software , vol.7 , pp. 17-41
    • Moré, J.J.1    Garbow, B.S.2    Hillstrome, K.E.3
  • 9
    • 0001931644 scopus 로고
    • The conjugate gradient method in extremal problems
    • doi:10.1016/0041-5553(69)90035-4
    • B. T. Polyak, "The conjugate gradient method in extremal problems", USSR Comput. Math. Math. Phys. 9 (1969) 94-112; doi:10.1016/0041-5553(69)90035-4.
    • (1969) USSR Comput. Math. Math. Phys. , vol.9 , pp. 94-112
    • Polyak, B.T.1
  • 10
    • 80155207308 scopus 로고    scopus 로고
    • A spectral PRP conjugate gradient methods for nonconvex optimization problem based on modified line search
    • doi:10.3934/dcdsb.2011.16.1157
    • Z. Wan, C. Hu and Z. Yang, "A spectral PRP conjugate gradient methods for nonconvex optimization problem based on modified line search", Discrete Contin. Dyn. Syst. Ser. B 16 (2011) 1157-1169; doi:10.3934/dcdsb.2011. 16.1157.
    • (2011) Discrete Contin. Dyn. Syst. Ser. B , vol.16 , pp. 1157-1169
    • Wan, Z.1    Hu, C.2    Yang, Z.3
  • 11
    • 84893576045 scopus 로고    scopus 로고
    • New BFGS method for unconstrained optimization problem based on modified armijo line search
    • Article ID 644284; doi:10.1080/02331934.2011.644284
    • Z. Wan, K. L. Teo, X. Shen and C. Hu, "New BFGS method for unconstrained optimization problem based on modified Armijo line search", Optimization (2012) Article ID 644284; doi:10.1080/02331934.2011.644284.
    • (2012) Optimization
    • Wan, Z.1    Teo, K.L.2    Shen, X.3    Hu, C.4
  • 12
    • 77957595051 scopus 로고    scopus 로고
    • New spectral PRP conjugate gradient method for unconstrained optimization
    • doi:10.1016/j.aml.2010.08.002
    • Z. Wan, Z. Yang and Y. Wang, "New spectral PRP conjugate gradient method for unconstrained optimization", Appl. Math. Lett. 24 (2011) 16-22; doi:10.1016/j.aml.2010.08.002.
    • (2011) Appl. Math. Lett. , vol.24 , pp. 16-22
    • Wan, Z.1    Yang, Z.2    Wang, Y.3
  • 13
    • 56649118446 scopus 로고    scopus 로고
    • Convergence property of the fletcher-reeves conjugate gradient method with errors
    • doi:10.3934/jimo.2005.1.193
    • C. Y. Wang and M. X. Li, "Convergence property of the Fletcher-Reeves conjugate gradient method with errors", J. Indust. Manag. Optim. 1 (2005) 193-200; doi:10.3934/jimo.2005.1.193.
    • (2005) J. Indust. Manag. Optim. , vol.1 , pp. 193-200
    • Wang, C.Y.1    Li, M.X.2
  • 14
    • 33749621811 scopus 로고    scopus 로고
    • A descent modified Polak-Ribiere-Polyak conjugate gradient method and its global convergence
    • DOI 10.1093/imanum/drl016
    • L. Zhang, W. Zhou and D.-H. Li, "A descent modified Polak-Ribière-Polyak conjugate gradient method and its global convergence", IMA J. Numer. Anal. 26 (2006) 629-640; doi:10.1093/imanum/ drl016. (Pubitemid 44546419)
    • (2006) IMA Journal of Numerical Analysis , vol.26 , Issue.4 , pp. 629-640
    • Zhang, L.1    Zhou, W.2    Li, D.-H.3
  • 15
    • 33749239442 scopus 로고    scopus 로고
    • Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
    • DOI 10.1007/s00211-006-0028-z
    • L. Zhang, W. Zhou and D.-H. Li, "Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search", Numer. Math. 104 (2006) 561-572; doi:10.1007/s00211-006-0028-z. (Pubitemid 44483263)
    • (2006) Numerische Mathematik , vol.104 , Issue.4 , pp. 561-572
    • Zhang, L.1    Zhou, W.2    Li, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.