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Volumn 19, Issue 4, 1998, Pages 1210-1233

The efficient computation of sparse jacobian matrices using automatic differentiation

Author keywords

ADOL C; Automatic differentiation; Bicoloring; Computational differentiation; Graph coloring; Nonlinear least squares; Nonlinear systems of equations; NP complete problems; Partition problem; Sparse finite differencing; Sparse jacobian matrices

Indexed keywords


EID: 0005440938     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827595295349     Document Type: Article
Times cited : (48)

References (15)
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    • (1986) SIAM J. Alg. Discrete Methods , vol.7 , pp. 221-235
    • Bischof, C.H.1    Bouaricha, A.2    Khademi, P.M.3    Moré, J.J.4
  • 3
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    • The cyclic coloring problem and estimation of sparse Hessian matrices
    • T. F. COLEMAN AND J.-Y. CAI, The cyclic coloring problem and estimation of sparse Hessian matrices, SIAM J. Alg. Discrete Methods, 7 (1986), pp. 221-235.
    • (1986) SIAM J. Alg. Discrete Methods , vol.7 , pp. 221-235
    • Coleman, T.F.1    Cai, J.-Y.2
  • 6
    • 0000421410 scopus 로고
    • Estimation of sparse Jacobian matrices and graph coloring problems
    • T. F. COLEMAN AND J. J. MORE, Estimation of sparse Jacobian matrices and graph coloring problems, SIAM J. Numer. Anal., 20 (1983), pp. 187-209.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 187-209
    • Coleman, T.F.1    More, J.J.2
  • 7
    • 0021408208 scopus 로고
    • Estimation of sparse Hessian matrices and graph coloring problems
    • T. F. COLEMAN AND J. J. MORE, Estimation of sparse Hessian matrices and graph coloring problems, Math. Programming, 28 (1984), pp. 243-270.
    • (1984) Math. Programming , vol.28 , pp. 243-270
    • Coleman, T.F.1    More, J.J.2
  • 8
    • 84952419741 scopus 로고
    • On the estimation of sparse Jacobian matrices
    • A. R. CURTIS, M. J. D. POWELL, AND J. K. REID, On the estimation of sparse Jacobian matrices, J. Inst. Math. Appl., 13 (1974), pp. 117-119.
    • (1974) J. Inst. Math. Appl. , vol.13 , pp. 117-119
    • Curtis, A.R.1    Powell, M.J.D.2    Reid, J.K.3
  • 11
    • 0001911625 scopus 로고
    • Some bounds on complexity of gradients, Jacobians and Hessians
    • P. M. Pardalos, ed., World Scientific Publishing Co., River Edge, NJ
    • A. GRIEWANK, Some bounds on complexity of gradients, Jacobians and Hessians, in Complexity in Numerical Optimization, P. M. Pardalos, ed., World Scientific Publishing Co., River Edge, NJ, 1993.
    • (1993) Complexity in Numerical Optimization
    • Griewank, A.1
  • 12
    • 0030168036 scopus 로고    scopus 로고
    • ADOL-C: A package for automatic differentiation of algorithms written in C/C++
    • A. GRIEWANK, D. JUEDES, AND J. UTKE, ADOL-C: A package for automatic differentiation of algorithms written in C/C++, ACM Trans. Math. Software, 22 (1996), pp. 131-167.
    • (1996) ACM Trans. Math. Software , vol.22 , pp. 131-167
    • Griewank, A.1    Juedes, D.2    Utke, J.3
  • 13
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    • Direct calculation of Newton steps without accumulating Jacobians
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    • Griewank, A.1
  • 15
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    • On the estimation of sparse Hessian matrices
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    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1060-1074
    • Powell, M.J.D.1    Toint, Ph.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.