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Volumn 9, Issue 1, 1998, Pages 65-84

Using Forward Accumulation for Automatic Differentiation of Implicitly-Defined Functions

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; ITERATIVE METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; VECTORS;

EID: 0031646716     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018382103801     Document Type: Article
Times cited : (17)

References (18)
  • 3
    • 0346817170 scopus 로고
    • The efficient calculation of gradients, Jacobians and Hessians
    • Numerical Optimisation Centre, University of Hertfordshire
    • M. Bartholomew-Biggs, S. Brown, B. Christianson, and L. Dixon, "The efficient calculation of gradients, Jacobians and Hessians," Technical Report 301, Numerical Optimisation Centre, University of Hertfordshire, 1995.
    • (1995) Technical Report 301
    • Bartholomew-Biggs, M.1    Brown, S.2    Christianson, B.3    Dixon, L.4
  • 6
    • 84968510937 scopus 로고
    • A class of methods for solving nonlinear simultaneous equations
    • C. Broyden, "A class of methods for solving nonlinear simultaneous equations," Math. Comp., vol. 19, pp. 577-593, 1965.
    • (1965) Math. Comp. , vol.19 , pp. 577-593
    • Broyden, C.1
  • 7
    • 0000187532 scopus 로고
    • Automatic Hessians by reverse accumulation
    • B. Christianson, "Automatic Hessians by reverse accumulation," IMA Journal of Numerical Analysis, vol. 12, pp. 135-150, 1992.
    • (1992) IMA Journal of Numerical Analysis , vol.12 , pp. 135-150
    • Christianson, B.1
  • 8
    • 0028698107 scopus 로고
    • Reverse accumulation and attractive fixed points
    • B. Christianson, "Reverse accumulation and attractive fixed points," Optimization Methods and Software, vol. 3, pp. 311-326, 1994.
    • (1994) Optimization Methods and Software , vol.3 , pp. 311-326
    • Christianson, B.1
  • 10
    • 0026855130 scopus 로고
    • Automatic differentiation and iterative processes
    • J. Gilbert, "Automatic differentiation and iterative processes," Optimization Methods and Software, vol. 1, pp. 13-21, 1992.
    • (1992) Optimization Methods and Software , vol.1 , pp. 13-21
    • Gilbert, J.1
  • 13
    • 0030168036 scopus 로고    scopus 로고
    • ADOL_C, a package for the automatic differentiation of algorithms written in C/C++
    • to appear; [Also appeared as Preprint MCS-P180-1190, Argonne National Laboratory, 1990]
    • A. Griewank, D. Juedes, and J. Utke, "ADOL_C, a package for the automatic differentiation of algorithms written in C/C++," ACM Trans. Math. Software, 1996 (to appear); [Also appeared as Preprint MCS-P180-1190, Argonne National Laboratory, 1990].
    • (1996) ACM Trans. Math. Software
    • Griewank, A.1    Juedes, D.2    Utke, J.3
  • 14


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.