메뉴 건너뛰기




Volumn 100, Issue 3, 2004, Pages 485-515

Abnormal equality-constrained optimization problems: Sensitivity theory

Author keywords

Abnormal point; Equality constrained problem; Parametric optimization; Regularity; Second order sufficient conditions; Sensitivity analysis

Indexed keywords

ESTIMATION; FUNCTIONS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; OPTIMIZATION; PERTURBATION TECHNIQUES; SENSITIVITY ANALYSIS;

EID: 21044457245     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10107-003-0494-3     Document Type: Article
Times cited : (12)

References (16)
  • 1
    • 0034341396 scopus 로고    scopus 로고
    • Implicit function theorem as a realization of the Lagrange principle
    • Arutyunov, A.V.: Implicit function theorem as a realization of the Lagrange principle. Abnormal points Sbornik: Math. 191, 1-24 (2000)
    • (2000) Abnormal Points Sbornik: Math. , vol.191 , pp. 1-24
    • Arutyunov, A.V.1
  • 2
    • 21044439930 scopus 로고
    • Properties of quadratic maps in a Banach space
    • Arutyunov, A.V.: Properties of quadratic maps in a Banach space. Math. Notes 50, 993-999 (1991)
    • (1991) Math. Notes , vol.50 , pp. 993-999
    • Arutyunov, A.V.1
  • 4
    • 33746537443 scopus 로고    scopus 로고
    • Sensitivity theory for abnormal equality-constrained optimization problems
    • Arutyunov, A.V., Izmailov, A.F.: Sensitivity theory for abnormal equality-constrained optimization problems. Comput. Math. Math. Physics 43, 186-202 (2003)
    • (2003) Comput. Math. Math. Physics , vol.43 , pp. 186-202
    • Arutyunov, A.V.1    Izmailov, A.F.2
  • 5
    • 31144466939 scopus 로고    scopus 로고
    • Sensitivity analysis for abnormal cone-constrained optimization problems
    • To appear
    • Arutyunov, A.V., Izmailov, A.F.: Sensitivity analysis for abnormal cone-constrained optimization problems. Comput. Math. Math. Physics. To appear
    • Comput. Math. Math. Physics.
    • Arutyunov, A.V.1    Izmailov, A.F.2
  • 6
    • 0001341952 scopus 로고
    • Theorems on estimates in the neighborhood of a singular point of a mapping
    • Avakov, E.R.: Theorems on estimates in the neighborhood of a singular point of a mapping. Math. Notes 47, 425-432 (1990)
    • (1990) Math. Notes , vol.47 , pp. 425-432
    • Avakov, E.R.1
  • 7
    • 0032096712 scopus 로고    scopus 로고
    • Optimization problems with perturbations: A guided tour
    • Bonnans, J.F., Shapiro, A.: Optimization problems with perturbations: a guided tour. SIAM Rev. 40, 228-264 (1998)
    • (1998) SIAM Rev. , vol.40 , pp. 228-264
    • Bonnans, J.F.1    Shapiro, A.2
  • 9
    • 21044459457 scopus 로고    scopus 로고
    • Theorems on the representation of the nonlinear mapping families and implicit function theorems
    • Izmailov, A.F.: Theorems on the representation of the nonlinear mapping families and implicit function theorems. Math. Notes 67, 45-54 (2000)
    • (2000) Math. Notes , vol.67 , pp. 45-54
    • Izmailov, A.F.1
  • 10
    • 0005342454 scopus 로고    scopus 로고
    • Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications
    • Izmailov, A.F., Solodov, M.V.: Error bounds for 2-regular mappings with Lipschitzian derivatives and their applications. Math. Program. 89, 413-435 (2001)
    • (2001) Math. Program. , vol.89 , pp. 413-435
    • Izmailov, A.F.1    Solodov, M.V.2
  • 11
    • 0036671134 scopus 로고    scopus 로고
    • The theory of 2-regularity for mappings with Lipschitzian derivatives and its applications to optimality conditions
    • Izmailov, A.F., Solodov, M.V.: The theory of 2-regularity for mappings with Lipschitzian derivatives and its applications to optimality conditions. Mathematics of Operations Research 27, 614-635 (2002)
    • (2002) Mathematics of Operations Research , vol.27 , pp. 614-635
    • Izmailov, A.F.1    Solodov, M.V.2
  • 13
  • 14
    • 0019138551 scopus 로고
    • Differential stability in infinite-dimensional nonlinear programming
    • Lempio, F., Maurer, H.: Differential stability in infinite-dimensional nonlinear programming. Appl. Math. Optim. 6, 139-152 (1980)
    • (1980) Appl. Math. Optim. , vol.6 , pp. 139-152
    • Lempio, F.1    Maurer, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.