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Volumn 71, Issue 239, 2002, Pages 1105-1135

Convergence rate analysis of an asynchronous space decomposition method for convex minimization

Author keywords

Asynchronous computation; Convergence rate; Convex minimization; Domain decomposition; Multigrid; Obstacle problem; Space decomposition

Indexed keywords


EID: 0036018013     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-01-01344-8     Document Type: Article
Times cited : (36)

References (60)
  • 1
  • 2
    • 84966225538 scopus 로고
    • Analysis of a multilevel iterative method for nonlinear finite element equations
    • MR 83j:65105
    • (1982) Math. Comp. , vol.39 , pp. 453-465
    • Bank, R.1
  • 6
    • 0026046761 scopus 로고
    • Some aspects of parallel and distributed iterative algorithms - A survey
    • MR 91m:65137
    • (1991) Automatica , vol.27 , pp. 3-21
  • 11
    • 84966233568 scopus 로고
    • Multilevel adaptive solutions to boundary value problems
    • MR 55:4714
    • (1977) Math. Comp. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 27
    • 0024767873 scopus 로고
    • Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Basic ideas
    • MR 90m:65250
    • (1989) Parallel Comput. , vol.12 , Issue.2 , pp. 131-144
    • Hart, L.1    McCormick, S.2
  • 29
    • 0000345936 scopus 로고
    • Two-sided approximations for unilateral variational inequalities by multigrid methods
    • MR 88m:49004
    • (1987) Optimization , vol.16 , pp. 867-881
    • Hoppe, R.H.W.1
  • 31
    • 0038873931 scopus 로고    scopus 로고
    • Monotone multigrid iterations for elliptic variational inequalities, II
    • MR 96k:65081
    • (1996) Numer. Math. , vol.72 , pp. 481-499
    • Kornhuber, R.1
  • 35
    • 21344480786 scopus 로고
    • Error bounds and convergence analysis of feasible descent methods: A general approach
    • MR 95a:90138
    • (1993) Ann. Oper. Res. , vol.46 , pp. 157-178
  • 36
    • 0021374981 scopus 로고
    • A multilevel iterative method for symmetric, positive definite linear complementary problems
    • MR 85b:90082
    • (1984) Appl. Math. Optim. , vol.11 , pp. 77-95
    • Mandel, J.1
  • 37
    • 0024772034 scopus 로고
    • Asynchronous multilevel adaptive methods for solving partial differential equations on multiprocessors: Performance results
    • MR 90m:65251
    • (1989) Parallel Comput. , vol.12 , Issue.2 , pp. 145-156
    • McCormick, S.1    Quinlan, D.2
  • 49
    • 0009358572 scopus 로고
    • Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition, Domain decomposition methods in scientific and engineering computing
    • Proc. of the 7th international conference on domain decomposition, Penn. State University, 1993, eds. American Mathematical Society, MR 95k:65121
    • (1994) Contemp. Math. , vol.180 , pp. 355-360
    • Keyes, D.1    Xu, J.2
  • 50
    • 0001317862 scopus 로고
    • Parallel function decomposition and space decomposition methods: Part II, Space decomposition
    • (1995) Beijing Mathematics , vol.1 , Issue.PART 2 , pp. 135-152
  • 51
    • 0035170311 scopus 로고    scopus 로고
    • Convergence rate analysis of domain decomposition methods for obstacle problems
    • (2000) East-West J. Numer. Math. , vol.9 , pp. 233-253
  • 53
    • 0009935105 scopus 로고    scopus 로고
    • Global and uniform convergence of subspaee correction methods for some convex optimization problems
    • posted on May 11, PII S00255718(01)01311-4 (to appear in print)
    • (2001) Math. Comp.
    • Tai, X.-C.1    Xu, J.-C.2
  • 55
    • 0009929532 scopus 로고
    • On the rate of convergence of a partially asynchronous gradient projection algorithm
    • MR 92k:90096
    • (1991) SIAM J. Optim. , vol.1 , pp. 603-619
    • Tseng, P.1
  • 57
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • MR 93k:65029
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.-C.1
  • 58
    • 0000314168 scopus 로고
    • A novel two-grid method for semilinear elliptic equations
    • MR 94m:65178
    • (1994) SIAM J. Sci. Comp. , vol.15 , pp. 231-237
  • 59
    • 0001547745 scopus 로고    scopus 로고
    • Two-grid discretization techniques for linear and nonlinear PDEs
    • MR 97i:65169
    • (1996) SIAM J. Numer. Anal. , vol.27 , pp. 1759-1777
  • 60
    • 0000367109 scopus 로고    scopus 로고
    • On monotone and geometric convergence of Schwarz methods for two-sided obstacle problems
    • MR 99d:65199
    • (1998) SIAM J. Numer. Anal , vol.35 , pp. 600-616
    • Zeng, J.1    Zhou, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.