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Volumn 10, Issue 3, 2000, Pages 896-916

Newton's method for a class of weakly singular optimal control problems

Author keywords

2 norm technique; Newton's method; Optimal control; Singular systems

Indexed keywords


EID: 0034370334     PISSN: 10526234     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1052623497320840     Document Type: Article
Times cited : (9)

References (15)
  • 1
    • 0027610053 scopus 로고
    • The Lagrange-Newton method for nonlinear optimal control problems
    • W. ALT AND K. MALANOWSKI, The Lagrange-Newton method for nonlinear optimal control problems, Comput. Optim. Appl., 2 (1993), pp. 77-100.
    • (1993) Comput. Optim. Appl. , vol.2 , pp. 77-100
    • Alt, W.1    Malanowski, K.2
  • 3
    • 0038587058 scopus 로고    scopus 로고
    • Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem
    • E. CASAS, F. TRÖLTZSCH, AND A. UNGER, Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem, Z. Anal. Anwendungen, 15 (1996), pp. 687-707.
    • (1996) Z. Anal. Anwendungen , vol.15 , pp. 687-707
    • Casas, E.1    Tröltzsch, F.2    Unger, A.3
  • 5
    • 0027626239 scopus 로고
    • Second order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems
    • H. GOLDBERG AND F. TRÖLTZSCH, Second order sufficient optimality conditions for a class of nonlinear parabolic boundary control problems, SIAM J. Control Optim., 31 (1993), pp. 1007-1025.
    • (1993) SIAM J. Control Optim. , vol.31 , pp. 1007-1025
    • Goldberg, H.1    Tröltzsch, F.2
  • 7
    • 0018441518 scopus 로고
    • Necessary and sufficient conditions for a local minimum III. Second order conditions and augmented duality
    • A. D. IOFFE, Necessary and sufficient conditions for a local minimum III. Second order conditions and augmented duality, SIAM J. Control Optim., 17 (1979), pp. 266-288.
    • (1979) SIAM J. Control Optim. , vol.17 , pp. 266-288
    • Ioffe, A.D.1
  • 8
    • 0010014953 scopus 로고    scopus 로고
    • Estimation of the convection coefficient in elliptic systems
    • K. ITO AND K. KUNISCH, Estimation of the convection coefficient in elliptic systems, Inverse Problems, 13 (1997), pp. 995-1013.
    • (1997) Inverse Problems , vol.13 , pp. 995-1013
    • Ito, K.1    Kunisch, K.2
  • 12
    • 0000570227 scopus 로고
    • First and second order sufficient optimality conditions in mathematical programming and optimal control
    • H. MAURER, First and second order sufficient optimality conditions in mathematical programming and optimal control, Math. Programming Stud., 14 (1981), pp. 163-177.
    • (1981) Math. Programming Stud. , vol.14 , pp. 163-177
    • Maurer, H.1
  • 13
    • 0040912990 scopus 로고
    • First and second order necessary and sufficient optimality conditions for infinite-dimensional programming problems
    • H. MAURER AND J. ZOWE, First and second order necessary and sufficient optimality conditions for infinite-dimensional programming problems, Math. Programming, 25 (1987), pp. 1542-1556.
    • (1987) Math. Programming , vol.25 , pp. 1542-1556
    • Maurer, H.1    Zowe, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.