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Volumn 10, Issue 1, 1998, Pages 33-48

Computing a sparse Jacobian matrix by rows and columns

Author keywords

AD; Forward and reverse mode; Nonlinear optimization; Numerical differences; Sparsity

Indexed keywords

DIFFERENTIATION (CALCULUS); ERROR ANALYSIS; GRAPH THEORY; OPTIMIZATION;

EID: 0032292043     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: 10.1080/10556789808805700     Document Type: Article
Times cited : (28)

References (12)
  • 1
    • 84952419741 scopus 로고
    • On the estimation of sparse Jacobian matrices
    • Curtis, A. R., Powell, M. J. D. and Reid, J. K. (1974). On the estimation of sparse Jacobian matrices, J. Inst. Math. Appl., 13, 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
  • 2
    • 0000421410 scopus 로고
    • Estimation of sparse Jacobian matrices and graph coloring problems
    • Coleman, T. F. and Moré, J. J. (1983). Estimation of sparse Jacobian matrices and graph coloring problems, SIAM J. Numer. Anal., 20, 187-209.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 187-209
    • Coleman, T.F.1    Moré, J.J.2
  • 3
    • 0347099904 scopus 로고
    • Personal communication
    • Griewank, A. (1995). Personal communication.
    • (1995)
    • Griewank, A.1
  • 6
    • 0000495643 scopus 로고
    • On the estimation of sparse Hessian matrices
    • Powell, M. J. D. and Toint, Ph. L. (1979). On the estimation of sparse Hessian matrices, SIAM J. Numer. Anal., 16, 1060-1074.
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 1060-1074
    • Powell, M.J.D.1    Toint, Ph.L.2
  • 7
    • 0021408208 scopus 로고
    • Estimation of sparse Hessian matrices and graph coloring problems
    • Coleman, T. F. and Moré, J. J. (1984). Estimation of sparse Hessian matrices and graph coloring problems, Math. Programming, 28, 243-270.
    • (1984) Math. Programming , vol.28 , pp. 243-270
    • Coleman, T.F.1    Moré, J.J.2
  • 8
    • 0003230635 scopus 로고
    • Automatic differentiation: Techniques and Applications
    • Springer-Verlag, Berlin
    • Rail, L. B. (1981). Automatic differentiation: Techniques and Applications, vol. 120 of Lecture Notes in Computer Science, Springer-Verlag, Berlin.
    • (1981) Lecture Notes in Computer Science , vol.120
    • Rail, L.B.1
  • 9
    • 0020765471 scopus 로고
    • Optimal approximation of sparse Hessians and its equivalence to a graph coloring problem
    • McCormick, S. T. (1983). Optimal approximation of sparse Hessians and its equivalence to a graph coloring problem, Math. Programming, 26, 153-171.
    • (1983) Math. Programming , vol.26 , pp. 153-171
    • McCormick, S.T.1
  • 12
    • 0039064754 scopus 로고
    • The Efficient Computation of Sparse Jacobian Matrices using Automatic Differentiation
    • Cornell Theory Center, Cornell University, November
    • Coleman, T. F. and Verma, A., The Efficient Computation of Sparse Jacobian Matrices using Automatic Differentiation, Tech. Report CTC95TR225, Cornell Theory Center, Cornell University, November 1995.
    • (1995) Tech. Report CTC95TR225
    • Coleman, T.F.1    Verma, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.