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Volumn 36, Issue 3, 2007, Pages 811-822

Condition numbers and Ritz type methods in unconstrained optimization

Author keywords

Condition number in optimization; Finite elements; Ritz method

Indexed keywords


EID: 35348954934     PISSN: 03248569     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (12)

References (13)
  • 1
    • 33646993357 scopus 로고
    • Orders of convergence in finite element methods
    • J.R. Whiteman, ed, Academic Press, London
    • CIARLET, P.G. (1973) Orders of convergence in finite element methods. In: J.R. Whiteman, ed., The Mathematics of Finite Elements and Applications. Academic Press, London, 113-129.
    • (1973) The Mathematics of Finite Elements and Applications , pp. 113-129
    • CIARLET, P.G.1
  • 3
    • 0001345156 scopus 로고
    • On the condition numbers and the distance to the nearest ill-posed problem
    • DEMMEL, J.W. (1987) On the condition numbers and the distance to the nearest ill-posed problem. Numer. Math. 51, 251-289.
    • (1987) Numer. Math , vol.51 , pp. 251-289
    • DEMMEL, J.W.1
  • 5
    • 18744392546 scopus 로고    scopus 로고
    • Error estimates for approximate optimization by the extended Ritz method
    • KURKOVA, V. and SANGUINETI, M. (2005) Error estimates for approximate optimization by the extended Ritz method. SIAM J. Optim. 15, 461-487.
    • (2005) SIAM J. Optim , vol.15 , pp. 461-487
    • KURKOVA, V.1    SANGUINETI, M.2
  • 6
    • 0001124394 scopus 로고
    • The finite element method for non-linear problems
    • MELKES, F. (1970) The finite element method for non-linear problems. Aplikace Matematiky 15, 177-189.
    • (1970) Aplikace Matematiky , vol.15 , pp. 177-189
    • MELKES, F.1
  • 7
    • 0003323056 scopus 로고
    • Convex Functions, Monotone Operators and Differentiability
    • Springer, Berlin
    • PHELPS, R.R. (1989) Convex Functions, Monotone Operators and Differentiability. Lecture Notes in Math. 1364, Springer, Berlin.
    • (1989) Lecture Notes in Math , vol.1364
    • PHELPS, R.R.1
  • 10
    • 0037005045 scopus 로고    scopus 로고
    • On the distance theorem in quadratic optimization
    • ZOLEZZI, T. (2002) On the distance theorem in quadratic optimization. J. Convex Anal. 9, 993-700.
    • (2002) J. Convex Anal , vol.9 , pp. 993-700
    • ZOLEZZI, T.1
  • 11
    • 2442587839 scopus 로고    scopus 로고
    • Condition number theorems in optimization
    • ZOLEZZI, T. (2003) Condition number theorems in optimization. SIAM J. Optim. 14, 507-516.
    • (2003) SIAM J. Optim , vol.14 , pp. 507-516
    • ZOLEZZI, T.1
  • 12
    • 35348990560 scopus 로고    scopus 로고
    • Stability under perturbations of some condition numbers in optimization
    • To appear in
    • ZOLEZZI, T. (2007) Stability under perturbations of some condition numbers in optimization. To appear in Math. Programming B.
    • (2007) Math. Programming B
    • ZOLEZZI, T.1
  • 13
    • 0036115636 scopus 로고    scopus 로고
    • Approximating networks and extended Ritz method for the solution of functional optimization problems
    • ZOPPOLI, R., SANGUINETI, M. AND PARISINI, T. (2002) Approximating networks and extended Ritz method for the solution of functional optimization problems. J. Optim. Theory Appl. 112, 403-440.
    • (2002) J. Optim. Theory Appl , vol.112 , pp. 403-440
    • ZOPPOLI, R.1    SANGUINETI, M.2    PARISINI, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.