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Volumn 86, Issue 4, 2009, Pages 606-615

L-broyden methods: A generalization of the l-bfgs method to the limited-memory broyden family

Author keywords

L BFGS; Limited memory; Quasi Newton methods; Unconstrained optimisation

Indexed keywords

BROYDEN-FLETCHER-GOLDFARB-SHANNO; DAVIDON-FLETCHER-POWELL; L-BFGS; LIMITED MEMORY; MULTIPLICATIVE UPDATES; NUMERICAL RESULTS; OPTIMISATIONS; QUASI-NEWTON METHODS;

EID: 68249093308     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160701656749     Document Type: Article
Times cited : (7)

References (16)
  • 1
    • 0039545486 scopus 로고
    • Test functions for unconstrained minimization
    • Tech. Rep. 1989CS-3, Department of Mathematics, Statistics and Computer Science, Dalhousie University, Halifax, Canada
    • A. Buckley, Test functions for unconstrained minimization, Tech. Rep. 1989CS-3, Department of Mathematics, Statistics and Computer Science, Dalhousie University, Halifax, Canada, 1989.
    • (1989)
    • Buckley, A.1
  • 2
    • 0020830122 scopus 로고
    • QN-like variable storage conjugate gradients
    • A. Buckley and A. LeNir, QN-like variable storage conjugate gradients, Math. Program 27 (1983), pp. 155-175.
    • (1983) Math. Program , vol.27 , pp. 155-175
    • Buckley, A.1    LeNir, A.2
  • 3
    • 0022075331 scopus 로고
    • ALGORITHM 630: BBVSCG - a variable storage algorithm for function minimization
    • A. Buckley and A. LeNir, ALGORITHM 630: BBVSCG - a variable storage algorithm for function minimization, ACM Trans. Math. Softw. 11 (1985), pp. 103-119.
    • (1985) ACM Trans. Math. Softw , vol.11 , pp. 103-119
    • Buckley, A.1    LeNir, A.2
  • 5
    • 0028319529 scopus 로고
    • Representation of quasi-Newton matrices and their use in limited memory methods
    • R.H. Byrd, J. Nocedal, and R.B. Schnabel, Representation of quasi-Newton matrices and their use in limited memory methods, Math. Program 63 (1994), pp. 129-156.
    • (1994) Math. Program , vol.63 , pp. 129-156
    • Byrd, R.H.1    Nocedal, J.2    Schnabel, R.B.3
  • 6
    • 33845521414 scopus 로고
    • Convergence of quasi-Newton matrices generated by the symmetric rank one update
    • A.R. Conn, N.I.M. Gould, and Ph.L. Toint, Convergence of quasi-Newton matrices generated by the symmetric rank one update, Math. Program 46 (1990), pp. 177-195.
    • (1990) Math. Program , vol.46 , pp. 177-195
    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3
  • 7
    • 0032333546 scopus 로고    scopus 로고
    • BFGS with update skipping and varying memory
    • T.G. Kolda, D.P. O'Leary, and L. Nazareth, BFGS with update skipping and varying memory, SIAM J. Optim. 6 (1998), pp. 1060-1083.
    • (1998) SIAM J. Optim , vol.6 , pp. 1060-1083
    • Kolda, T.G.1    O'Leary, D.P.2    Nazareth, L.3
  • 8
    • 33646887390 scopus 로고
    • On the limited memory BFGS method for large scale optimization
    • D.C. Liu and J. Nocedal, On the limited memory BFGS method for large scale optimization, Math. Program 45 (1989), pp. 503-528.
    • (1989) Math. Program , vol.45 , pp. 503-528
    • Liu, D.C.1    Nocedal, J.2
  • 9
    • 84966262179 scopus 로고
    • Updating quasi-Newton matrices with limited storage
    • J. Nocedal, Updating quasi-Newton matrices with limited storage, Math. Comput. 35 (1980), pp. 773-782.
    • (1980) Math. Comput , vol.35 , pp. 773-782
    • Nocedal, J.1
  • 10
    • 0016917827 scopus 로고
    • Optimal conditioning of self-scaling variable metric algorithms
    • S.S. Oren and E. Spedicato, Optimal conditioning of self-scaling variable metric algorithms, Math. Program 10 (1976), pp. 70-90.
    • (1976) Math. Program , vol.10 , pp. 70-90
    • Oren, S.S.1    Spedicato, E.2
  • 11
    • 0033239111 scopus 로고    scopus 로고
    • A new approach to the symmetric rank one updating algorithm
    • M.R. Osborne and L.P. Sun, A new approach to the symmetric rank one updating algorithm, IMA J. Numer. Anal. 19 (1999), pp. 497-507.
    • (1999) IMA J. Numer. Anal , vol.19 , pp. 497-507
    • Osborne, M.R.1    Sun, L.P.2
  • 12
    • 33846446220 scopus 로고
    • Restart procedures for the conjugate gradient method
    • M.J.D. Powell, Restart procedures for the conjugate gradient method, Math. Program 12 (1977), pp. 241-254.
    • (1977) Math. Program , vol.12 , pp. 241-254
    • Powell, M.J.D.1
  • 13
    • 0018000824 scopus 로고
    • Numerical comparison of several variable metric algorithms
    • D.F. Shanno and K.-H. Phua, Numerical comparison of several variable metric algorithms, J. Optim. Theory Appl. 25 (1978), pp. 507-518.
    • (1978) J. Optim. Theory Appl , vol.25 , pp. 507-518
    • Shanno, D.F.1    Phua, K.-H.2
  • 14
    • 0001184391 scopus 로고
    • Matrix conditioning and nonlinear optimization
    • D.F. Shanno and K.-H. Phua, Matrix conditioning and nonlinear optimization, Math. Program 14 (1978), pp. 149-160.
    • (1978) Math. Program , vol.14 , pp. 149-160
    • Shanno, D.F.1    Phua, K.-H.2
  • 15
    • 0942266559 scopus 로고    scopus 로고
    • L.P. Sun, Updating the self-scaling symmetric rank one algorithm with limited memory for large-scale unconstrained optimization, Comput. Optim. Appl. 27 (2004), pp. 23-29.
    • L.P. Sun, Updating the self-scaling symmetric rank one algorithm with limited memory for large-scale unconstrained optimization, Comput. Optim. Appl. 27 (2004), pp. 23-29.
  • 16
    • 26444611382 scopus 로고    scopus 로고
    • New variable metric methods for unconstrained minimisation covering the large-scale case
    • Tech. Rep. V876, Institute of Computer Science, Prague, Czech Republic
    • J.Vlcek and L. Luksan, New variable metric methods for unconstrained minimisation covering the large-scale case, Tech. Rep. V876, Institute of Computer Science, Prague, Czech Republic, 2002.
    • (2002)
    • Vlcek, J.1    Luksan, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.