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Volumn 42, Issue 2, 2009, Pages 213-229

Kantorovich's majorants principle for Newton's method

Author keywords

Kantorovich's theorem; Newton's method

Indexed keywords

FUNCTIONS; MATHEMATICAL OPERATORS; PROBABILITY DENSITY FUNCTION;

EID: 58849149829     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-007-9082-4     Document Type: Article
Times cited : (69)

References (10)
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    • (1997) Numer. Funct. Anal. Optim. , vol.18 , pp. 1-17
    • Appel, J.1    De Pascale, E.2    Lysenko, J.V.3    Zabrejko, P.P.4
  • 2
    • 58849138094 scopus 로고    scopus 로고
    • A unifying local convergence result for Newton's method in Riemannian manifolds
    • INRIA
    • Alvarez, F., Botle, J., Munier, J.: A unifying local convergence result for Newton's method in Riemannian manifolds. Rapport de recherche, N. 5381, INRIA (2004)
    • (2004) Rapport de Recherché , vol.5381
    • Alvarez, F.1    Botle, J.2    Munier, J.3
  • 3
    • 0036225214 scopus 로고    scopus 로고
    • Kantorovich's theorem on Newton's method in Riemannian manifolds
    • O.P. Ferreira B.F. Svaiter 2002 Kantorovich's theorem on Newton's method in Riemannian manifolds J. Complex. 18 304 329
    • (2002) J. Complex. , vol.18 , pp. 304-329
    • Ferreira, O.P.1    Svaiter, B.F.2
  • 4
    • 0037473670 scopus 로고    scopus 로고
    • Newton method under weak Lipschitz continuous derivative in Banach spaces
    • Z. Huang 2003 Newton method under weak Lipschitz continuous derivative in Banach spaces Appl. Math. Comput. 140 115 126
    • (2003) Appl. Math. Comput. , vol.140 , pp. 115-126
    • Huang, Z.1
  • 6
    • 0003254248 scopus 로고
    • Interior-point polynomial algorithms in convex programming
    • SIAM Philadelphia
    • Nesterov, Y., Nemirovskii, A.: Interior-Point Polynomial Algorithms in Convex Programming. SIAM Studies in Applied Mathematics, vol. 13. SIAM, Philadelphia (1994)
    • (1994) SIAM Studies in Applied Mathematics , vol.13
    • Nesterov, Y.1    Nemirovskii, A.2
  • 8
    • 12344276689 scopus 로고    scopus 로고
    • The Kantorovich theorem and interior point methods
    • 1
    • F.A. Potra 2005 The Kantorovich theorem and interior point methods Math. Program. 102 1 47 70
    • (2005) Math. Program. , vol.102 , pp. 47-70
    • Potra, F.A.1
  • 10
    • 0038932662 scopus 로고    scopus 로고
    • Convergence of Newton's method and inverse function theorem in Banach space
    • 225
    • X. Wang 1999 Convergence of Newton's method and inverse function theorem in Banach space Math. Comput. 68 225 169 186
    • (1999) Math. Comput. , vol.68 , pp. 169-186
    • Wang, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.