메뉴 건너뛰기




Volumn 125, Issue 1, 2005, Pages 205-221

Superlinear convergence of a Newton-type algorithm for monotone equations

Author keywords

Convex minimization; Global convergence; Monotone equations; Newton method; Superlinear convergence

Indexed keywords

APPLICATION PROGRAMS; LINEAR PROGRAMMING;

EID: 17444397729     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10957-004-1721-7     Document Type: Article
Times cited : (109)

References (16)
  • 1
    • 0003124748 scopus 로고    scopus 로고
    • A globally convergent inexact Newton method for system of monotone equations
    • Edited by M. Fukushima and L. Qi, Kluwer Academic Publishers, Dordrecht, Holland
    • SOLODOV M. V., and SVAITER, B. F., A Globally Convergent Inexact Newton Method for System of Monotone Equations, Reformulation: Nonsmooth, Piecewise Smooth, Semisrnooth, and Smoothing Methods, Edited by M. Fukushima and L. Qi, Kluwer Academic Publishers, Dordrecht, Holland, pp. 355-369, 1999.
    • (1999) Reformulation: Nonsmooth, Piecewise Smooth, Semisrnooth, and Smoothing Methods , pp. 355-369
    • Solodov, M.V.1    Svaiter, B.F.2
  • 2
    • 0003713964 scopus 로고
    • Athena Scientific, Belmont, Massachusetts
    • BERTSEKAS, D. P., Nonlinear Programming, Athena Scientific, Belmont, Massachusetts, 199 5.
    • (1995) Nonlinear Programming
    • Bertsekas, D.P.1
  • 3
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • QI, L., and SUN, J., A Nonsmooth Version of Newton's Method, Mathematical Programming, Vol. 58, pp. 353-367, 1993.
    • (1993) Mathematical Programming , vol.58 , pp. 353-367
    • Qi, L.1    Sun, J.2
  • 4
    • 0011662308 scopus 로고    scopus 로고
    • On the rate of convergence of the Levenberg-Marquardt method
    • YAMASHITA, N., and FUKUSHIMA, M., On the Rate of Convergence of the Levenberg-Marquardt Method, Computing, Vol. 15, pp. 239-249, 2001.
    • (2001) Computing , vol.15 , pp. 239-249
    • Yamashita, N.1    Fukushima, M.2
  • 5
    • 14944383664 scopus 로고    scopus 로고
    • Local behavior of an iterative framework for generalized equations with nonisolated solutions
    • FISCHER, A., Local Behavior of an Iterative Framework for Generalized Equations with Nonisolated Solutions, Mathematical Programming, Vol. 94, pp. 91-124, 2002.
    • (2002) Mathematical Programming , vol.94 , pp. 91-124
    • Fischer, A.1
  • 6
    • 0036873871 scopus 로고    scopus 로고
    • A superlinearly convergent algorithm for the monotone complementarity problem without uniqueness and nondegeneracy conditions
    • DAN, H., YAMASHITA, N., and FUKUSHIMA, M., A Superlinearly Convergent Algorithm for the Monotone Complementarity Problem without Uniqueness and Nondegeneracy Conditions, Mathematics of Operations Research, Vol. 27, pp. 743-754, 2002.
    • (2002) Mathematics of Operations Research , vol.27 , pp. 743-754
    • Dan, H.1    Yamashita, N.2    Fukushima, M.3
  • 7
    • 0034353734 scopus 로고    scopus 로고
    • The proximal point algorithm with genuine superlinear convergence for the monotone complementarity problem
    • YAMASHITA, N., and FUKUSHIMA, M., The Proximal Point Algorithm with Genuine Superlinear Convergence for the Monotone Complementarity Problem, SIAM Journal on Optimization, Vol. 11, pp. 364-379, 2001.
    • (2001) SIAM Journal on Optimization , vol.11 , pp. 364-379
    • Yamashita, N.1    Fukushima, M.2
  • 8
    • 1942436491 scopus 로고    scopus 로고
    • Levenberg-Marquardt methods for constrained nonlinear equations with strong local convergence properties
    • Department of Applied Mathematics and Physics, Kyoto University, Kyoto, Japan
    • KANZOW, C., YAMASHITA, N., and FUKUSHIMA, M., Levenberg-Marquardt Methods for Constrained Nonlinear Equations with Strong Local Convergence Properties, Technical Report 2002-007, Department of Applied Mathematics and Physics, Kyoto University, Kyoto, Japan, 2002.
    • (2002) Technical Report , vol.2002 , Issue.7
    • Kanzow, C.1    Yamashita, N.2    Fukushima, M.3
  • 10
    • 0012042293 scopus 로고    scopus 로고
    • A class of globally convergent algorithms for pseudomotone variational inequalities
    • Edited by M. C. Ferris, O. L. Mangasarian, and J. S. Pang, Kluwer Academic Publishers, Dordrecht, Holland
    • SOLODOV, M. V., A Class of Globally Convergent Algorithms for Pseudomotone Variational Inequalities, Complementarity: Applications, Algorithms, and Extensions, Edited by M. C. Ferris, O. L. Mangasarian, and J. S. Pang, Kluwer Academic Publishers, Dordrecht, Holland, pp. 297-315, 2001.
    • (2001) Complementarity: Applications, Algorithms, and Extensions , pp. 297-315
    • Solodov, M.V.1
  • 11
    • 0001052352 scopus 로고
    • Some continuity properties of polyhedral multifunctions
    • ROBINSON, S. M., Some Continuity Properties of Polyhedral Multifunctions, Mathematical Programming Study, Vol. 14, pp. 206-214, 1981.
    • (1981) Mathematical Programming Study , vol.14 , pp. 206-214
    • Robinson, S.M.1
  • 13


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.