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Volumn 26, Issue 3, 2000, Pages 127-136

On the convergence of the block nonlinear Gauss-Seidel method under convex constraints

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; NONLINEAR PROGRAMMING;

EID: 0033904057     PISSN: 01676377     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6377(99)00074-7     Document Type: Article
Times cited : (641)

References (15)
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    • Auslender A. Asymptotic properties of the Fenchel dual functional and applications to decomposition problems. J. Optim. Theory Appl. 73(3):1992;427-449.
    • (1992) J. Optim. Theory Appl. , vol.73 , Issue.3 , pp. 427-449
    • Auslender, A.1
  • 4
    • 0004152321 scopus 로고
    • Partial proximal minimization algorithms for convex programming
    • Bertsekas D.P., Tseng P. Partial proximal minimization algorithms for convex programming. SIAM J. Optim. 4(3):1994;551-572.
    • (1994) SIAM J. Optim. , vol.4 , Issue.3 , pp. 551-572
    • Bertsekas, D.P.1    Tseng, P.2
  • 6
    • 0032665409 scopus 로고    scopus 로고
    • Globally convergent block-coordinate techniques for unconstrained optimization
    • Grippo L., Sciandrone M. Globally convergent block-coordinate techniques for unconstrained optimization. Optim. Methods Software. 10:1999;587-637.
    • (1999) Optim. Methods Software , vol.10 , pp. 587-637
    • Grippo, L.1    Sciandrone, M.2
  • 7
    • 0040226707 scopus 로고
    • A cutting plane algorithm for solving bilinear programs
    • Konno H. A cutting plane algorithm for solving bilinear programs. Math. Programming. 11:1976;14-27.
    • (1976) Math. Programming , vol.11 , pp. 14-27
    • Konno, H.1
  • 8
    • 34250388607 scopus 로고
    • Maximization of a convex quadratic function under linear constraints
    • Konno H. Maximization of a convex quadratic function under linear constraints. Math. Programming. 11:1976;117-127.
    • (1976) Math. Programming , vol.11 , pp. 117-127
    • Konno, H.1
  • 9
    • 0026678659 scopus 로고
    • On the convergence of the coordinate descent method for convex differentiable minimization
    • Luo Z.Q., Tseng P. On the convergence of the coordinate descent method for convex differentiable minimization. J. Optim. Theory Appl. 72:1992;7-35.
    • (1992) J. Optim. Theory Appl. , vol.72 , pp. 7-35
    • Luo, Z.Q.1    Tseng, P.2
  • 11
    • 0031699528 scopus 로고    scopus 로고
    • Decomposition methods for differentiable optimization problems over Cartesian product sets
    • Patriksson M. Decomposition methods for differentiable optimization problems over Cartesian product sets. Comput. Optim. Appl. 9(1):1998;5-42.
    • (1998) Comput. Optim. Appl. , vol.9 , Issue.1 , pp. 5-42
    • Patriksson, M.1
  • 12
    • 0001258795 scopus 로고
    • On search directions for minimization algorithms
    • Powell M.J.D. On search directions for minimization algorithms. Math. Programming. 4:1973;193-201.
    • (1973) Math. Programming , vol.4 , pp. 193-201
    • Powell, M.J.D.1
  • 13
    • 0026188920 scopus 로고
    • Decomposition algorithm for convex differentiable minimization
    • Tseng P. Decomposition algorithm for convex differentiable minimization. J. Optim. Theory Appl. 70:1991;109-135.
    • (1991) J. Optim. Theory Appl. , vol.70 , pp. 109-135
    • Tseng, P.1
  • 14
    • 0007134919 scopus 로고
    • A note on the cyclic coordinate ascent method
    • Zadeh N. A note on the cyclic coordinate ascent method. Management Sci. 16:1970;642-644.
    • (1970) Management Sci. , vol.16 , pp. 642-644
    • Zadeh, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.