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Volumn 102, Issue 2-3, 1999, Pages 185-201

Convergence rates for inexact Newton-like methods at singular points and applications

Author keywords

47H17; 49D15; 65J15; Banach space; Convergence rates; Fr chet derivative; Inexact Newton like methods; Singular linear operator; Singular root

Indexed keywords


EID: 0001076644     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10015-2     Document Type: Article
Times cited : (7)

References (8)
  • 3
    • 0009345919 scopus 로고
    • On the convergence of inexact Newton-like methods
    • Argyros I.K. On the convergence of inexact Newton-like methods. Publ. Math. Debrecen. 43(1/2):1993;79-85.
    • (1993) Publ. Math. Debrecen , vol.43 , Issue.1-2 , pp. 79-85
    • Argyros, I.K.1
  • 4
    • 0008854050 scopus 로고
    • A unified approach for constructing fast two-step Newton-like methods
    • Argyros I.K. A unified approach for constructing fast two-step Newton-like methods. Monatshefte für Mathematik. 119:1995;1-22.
    • (1995) Monatshefte für Mathematik , vol.119 , pp. 1-22
    • Argyros, I.K.1
  • 5
    • 0039205183 scopus 로고
    • A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions
    • Argyros I.K. A convergence theorem for Newton-like methods under generalized Chen-Yamamoto-type assumptions. Appl. Math. Comput. 61(1):1994;25-37.
    • (1994) Appl. Math. Comput. , vol.61 , Issue.1 , pp. 25-37
    • Argyros, I.K.1
  • 6
    • 0001261109 scopus 로고
    • Convergence rates for Newton's method at singular points
    • Decker D.W., Keller H.B., Kelley C.T. Convergence rates for Newton's method at singular points. SIAM J. Numer. Anal. 20(2):1983;296-314.
    • (1983) SIAM J. Numer. Anal. , vol.20 , Issue.2 , pp. 296-314
    • Decker, D.W.1    Keller, H.B.2    Kelley, C.T.3
  • 7
    • 0001281959 scopus 로고
    • On Newton's method for singular problems
    • Reddien G.W. On Newton's method for singular problems. SIAM J. Numer. Anal. 15:1978;993-996.
    • (1978) SIAM J. Numer. Anal. , vol.15 , pp. 993-996
    • Reddien, G.W.1
  • 8
    • 0039117183 scopus 로고
    • A special matrix equation and its applications in microelectronics
    • Szidarovszky F., Palusinski O. A special matrix equation and its applications in microelectronics. Appl. Math. Comput. 64:1994;115-119.
    • (1994) Appl. Math. Comput. , vol.64 , pp. 115-119
    • Szidarovszky, F.1    Palusinski, O.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.