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Volumn 3, Issue 3, 1996, Pages 239-249

Globalization of Newton's method for solving non-linear equations

Author keywords

Detour potentials; Global convergence; Homotopy methods; Lagrangian globalization; Lagrangians; Non linear equations; Non linear programming

Indexed keywords


EID: 21344473146     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1506(199605/06)3:3<239::AID-NLA81>3.0.CO;2-U     Document Type: Article
Times cited : (12)

References (14)
  • 4
    • 0018517626 scopus 로고
    • A new class of augmented Lagrangians in non-linear programming
    • G. Di Pillo and L. Grippo. A new class of augmented Lagrangians in non-linear programming, SIAM Journal on Control and Optimization, 17, 618-628, 1979.
    • (1979) SIAM Journal on Control and Optimization , vol.17 , pp. 618-628
    • Di Pillo, G.1    Grippo, L.2
  • 5
    • 0014604308 scopus 로고
    • Multiplier and gradient methods
    • M. R. Hestenes. Multiplier and gradient methods. J.O.T.A., 4, 303-320, 1969.
    • (1969) J.O.T.A. , vol.4 , pp. 303-320
    • Hestenes, M.R.1
  • 6
    • 0003080367 scopus 로고
    • Global homotopies and Newton methods
    • C. de Boor and G. H. Golub, editors. Academic Press, N.Y.
    • H. B. Keller. Global homotopies and Newton methods. In C. de Boor and G. H. Golub, editors. Recent Advances in Numerical Analysis. Academic Press, N.Y., 1978, pages 73-94.
    • (1978) Recent Advances in Numerical Analysis , pp. 73-94
    • Keller, H.B.1
  • 7
    • 0016533841 scopus 로고
    • Unconstrained Lagrangians in non-linear programming
    • O. L. Mangasarian. Unconstrained Lagrangians in non-linear programming. SIAM Journal on Control, 13, 772-791, 1975.
    • (1975) SIAM Journal on Control , vol.13 , pp. 772-791
    • Mangasarian, O.L.1
  • 9
    • 0002380692 scopus 로고
    • A method for non-linear constraints in minimization problems
    • R. Fletcher, editor. Academic Press, New York
    • M. J. D. Powell. A method for non-linear constraints in minimization problems. In R. Fletcher, editor. Optimization. Academic Press, New York, 1969, pages 224-248.
    • (1969) Optimization , pp. 224-248
    • Powell, M.J.D.1
  • 10
    • 85033034258 scopus 로고
    • Lagrangian globalization: Solving non-linear equations via constrained optimization
    • Numerical Analysis Reports DAMTP 1993/NA18, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK, 1993 S. Smale, Chair, 17 July-11 August, Park City, Utah
    • J. L. Nazareth. Lagrangian globalization: solving non-linear equations via constrained optimization. Numerical Analysis Reports DAMTP 1993/NA18, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK, 1993. To appear in the Proceedings of the AMS Summer Conference Mathematics of Numerical Analysis: Real Number Algorithms S. Smale, Chair, 17 July-11 August, 1995, Park City, Utah.
    • (1995) Proceedings of the AMS Summer Conference Mathematics of Numerical Analysis: Real Number Algorithms
    • Nazareth, J.L.1
  • 12
    • 0016950796 scopus 로고
    • Augmented Lagrangians and applications of the proximal point algorithm in convex programming
    • R. T. Rockafellar. Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Mathematics of Operations Research, 1, 97-116, 1976.
    • (1976) Mathematics of Operations Research , vol.1 , pp. 97-116
    • Rockafellar, R.T.1
  • 13
    • 49549130863 scopus 로고
    • A convergent process of price adjustment and global Newton methods
    • S. Smale. A convergent process of price adjustment and global Newton methods. Journal of Mathematical Economics, 3,1-14,1976.
    • (1976) Journal of Mathematical Economics , vol.3 , pp. 1-14
    • Smale, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.