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Volumn 11, Issue 1, 1998, Pages 65-79

Minimizing a sum of norms subject to linear equality constraints

Author keywords

Duality; Newton barrier method; Non smooth optimization; Sum of norms

Indexed keywords

ALGORITHMS; DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; LINEAR PROGRAMMING; OPTIMIZATION; PROBLEM SOLVING; CALCULATIONS; MATHEMATICAL TECHNIQUES; MAXIMUM PRINCIPLE; NUMERICAL ANALYSIS;

EID: 0032187481     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018322318259     Document Type: Article
Times cited : (13)

References (11)
  • 1
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    • K.D. Andersen, "An infeasible dual affine scaling method for linear programming," Committee on Algorithms Bulletin (COAL), vol. 22, pp. 20-28, 1993.
    • (1993) Committee on Algorithms Bulletin (COAL) , vol.22 , pp. 20-28
    • Andersen, K.D.1
  • 2
    • 0030304772 scopus 로고    scopus 로고
    • An efficient Newton barrier method for minimizing a sum of Euclidean norms
    • K.D. Andersen, "An efficient Newton barrier method for minimizing a sum of Euclidean norms, SIAM J. Optim, vol. 6(1), pp. 74-95, 1996.
    • (1996) SIAM J. Optim , vol.6 , Issue.1 , pp. 74-95
    • Andersen, K.D.1
  • 3
    • 0040916836 scopus 로고
    • Limit analysis with the dual affine scaling algorithm
    • K.D. Andersen and E. Christiansen, "Limit analysis with the dual affine scaling algorithm," J. Comput. Appl. Math., vol. 59, pp. 233-243, 1995.
    • (1995) J. Comput. Appl. Math. , vol.59 , pp. 233-243
    • Andersen, K.D.1    Christiansen, E.2
  • 4
    • 0001132110 scopus 로고    scopus 로고
    • Computing limit loads by minimizing a sum of norms
    • K.D. Andersen, E. Christiansen, and M.L. Overton, "Computing limit loads by minimizing a sum of norms," SIAM J. Sci. Comput., vol. 19(3), pp. 1046-1062, 1998.
    • (1998) SIAM J. Sci. Comput. , vol.19 , Issue.3 , pp. 1046-1062
    • Andersen, K.D.1    Christiansen, E.2    Overton, M.L.3
  • 5
    • 34249918162 scopus 로고
    • A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity
    • A. Ben-Tal, M. Teboulle, and W.H. Yang, "A least-squares-based method for a class of nonsmooth minimization problems with applications in plasticity," Appl. Math. Optim., vol. 24, pp. 273-288, 1991.
    • (1991) Appl. Math. Optim. , vol.24 , pp. 273-288
    • Ben-Tal, A.1    Teboulle, M.2    Yang, W.H.3
  • 6
    • 0002009953 scopus 로고    scopus 로고
    • Limit analysis of collapse states
    • P.G. Ciarlet and J.L. Lions, editors, North-Holland, Amsterdam
    • E. Christiansen, "Limit analysis of collapse states," In P.G. Ciarlet and J.L. Lions, editors, Handbook of Numerical Analysis, vol. 4, pp. 193-312. North-Holland, Amsterdam, 1996.
    • (1996) Handbook of Numerical Analysis , vol.4 , pp. 193-312
    • Christiansen, E.1
  • 7
    • 0001568795 scopus 로고
    • Constrained optimization using a nondifferentiable penalty function
    • A.R. Conn, "Constrained optimization using a nondifferentiable penalty function," SIAM J. Numer. Anal., vol. 10, pp. 760-784, 1973.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 760-784
    • Conn, A.R.1
  • 9
    • 0003150632 scopus 로고
    • A quadratically convergent method for minimizing a sum of Euclidean norms
    • M.L. Overton, "A quadratically convergent method for minimizing a sum of Euclidean norms," Math. Programming, vol. 27, pp. 34-63, 1983.
    • (1983) Math. Programming , vol.27 , pp. 34-63
    • Overton, M.L.1
  • 10
    • 0001852780 scopus 로고
    • An exact potential method for constrained maxima
    • T. Pietrzykowski, "An exact potential method for constrained maxima," SIAM J. Numer. Anal., vol. 6, pp. 299-304, 1969.
    • (1969) SIAM J. Numer. Anal. , vol.6 , pp. 299-304
    • Pietrzykowski, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.