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Volumn 7, Issue 1, 1997, Pages 34-46

The affine scaling algorithm fails for stepsize 0.999

Author keywords

Affine scaling algorithm; Convergence; Degeneracy

Indexed keywords


EID: 0031538852     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/s1052623493258404     Document Type: Article
Times cited : (13)

References (11)
  • 2
    • 0000754239 scopus 로고
    • Iterative solutions of problems of linear and quadratic programming
    • [Dk]
    • [Dk] I. I. DIKIN, Iterative solutions of problems of linear and quadratic programming, Soviet Math. Dokl., 8 (1967), pp. 674-675.
    • (1967) Soviet Math. Dokl. , vol.8 , pp. 674-675
    • Dikin, I.I.1
  • 3
    • 0001935197 scopus 로고
    • On the convergence of on iterative process
    • [Dk1]. In Russian. Suggested by the referee
    • [Dk1] I. I. DIKIN, On the convergence of on iterative process, Upravlyaemye Sistemy, 12 (1974), pp. 54-60. (In Russian.) (Suggested by the referee.)
    • (1974) Upravlyaemye Sistemy , vol.12 , pp. 54-60
    • Dikin, I.I.1
  • 4
    • 0007552289 scopus 로고
    • The Convergence of Dual Variables
    • [Dk2], Siberian Energy Institute, Russia
    • [Dk2] I. I. DIKIN, The Convergence of Dual Variables, Tech. report, Siberian Energy Institute, Russia, 1991.
    • (1991) Tech. Report
    • Dikin, I.I.1
  • 5
    • 0000044573 scopus 로고
    • Stable manifolds and hyperbolic sets
    • [HP], Global Analysis, Berkeley, CA, July Amer. Math. Soc., 1970
    • [HP] M. HIRSCH AND C. PUGH, Stable manifolds and hyperbolic sets, in Global Analysis, Proc. Symp. in Pure Math. Vol. XIV, Berkeley, CA, July 1968, Amer. Math. Soc., 1970.
    • (1968) Proc. Symp. in Pure Math. , vol.14
    • Hirsch, M.1    Pugh, C.2
  • 7
    • 21344498241 scopus 로고
    • A simplified global convergence proof of the affine scaling algorithm
    • [MTW]
    • [MTW] R. D. C. MONTEIRO, T. TSUCHIYA, Y. WANG, A simplified global convergence proof of the affine scaling algorithm, Ann. Oper. Res., 47 (1993), pp. 443-482.
    • (1993) Ann. Oper. Res. , vol.47 , pp. 443-482
    • Monteiro, R.D.C.1    Tsuchiya, T.2    Wang, Y.3
  • 8
    • 21344452980 scopus 로고    scopus 로고
    • A simple proof of the primal affine scaling method
    • [S], to appear
    • [S] R. SAIGAL, A simple proof of the primal affine scaling method, Ann. Oper. Res., to appear.
    • Ann. Oper. Res.
    • Saigal, R.1
  • 10
    • 0001665505 scopus 로고
    • Global convergence of a long-step affine scaling algorithm for degenerate linear programming problems
    • [TM]
    • [TM] T. TSUCHIYA AND M. MURAMATSU, Global convergence of a long-step affine scaling algorithm for degenerate linear programming problems. SIAM J. Optim., 5 (1995). pp. 525-551.
    • (1995) SIAM J. Optim. , vol.5 , pp. 525-551
    • Tsuchiya, T.1    Muramatsu, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.