메뉴 건너뛰기




Volumn 64 LNCSE, Issue , 2008, Pages 35-44

Collected matrix derivative results for forward and reverse mode algorithmic differentiation

Author keywords

Forward mode; Numerical linear algebra; Reverse mode

Indexed keywords

ADJOINT; ALGORITHMIC DIFFERENTIATION; AUTOMATIC DIFFERENTIATION; FORWARD MODE; INTERNATIONAL CONFERENCES; MATRIX PRODUCTS; MULTI-VARIATE ANALYSIS; NUMERICAL LINEAR ALGEBRA; REVERSE MODE;

EID: 78651550503     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-68942-3_4     Document Type: Conference Paper
Times cited : (109)

References (18)
  • 2
    • 0040443838 scopus 로고    scopus 로고
    • ADMIT-1: Automatic differentiation and MATLAB interface toolbox
    • Coleman, T., Verma, A.: ADMIT-1: Automatic differentiation and MATLAB interface toolbox. ACM Transactions on Mathematical Software 26(1), 150-175 (2000)
    • (2000) ACM Transactions on Mathematical Software , vol.26 , Issue.1 , pp. 150-175
    • Coleman, T.1    Verma, A.2
  • 3
    • 0000115992 scopus 로고
    • Some applications of matrix derivatives in multivariate analysis
    • Dwyer, P.: Some applications of matrix derivatives in multivariate analysis. Journal of the American Statistical Association 62(318), 607-625 (1967)
    • (1967) Journal of the American Statistical Association , vol.62 , Issue.318 , pp. 607-625
    • Dwyer, P.1
  • 5
    • 33746038542 scopus 로고    scopus 로고
    • An efficient overloaded implementation of forward mode automatic differentiation in MATLAB
    • Forth, S.: An efficient overloaded implementation of forward mode automatic differentiation in MATLAB. ACM Transactions on Mathematical Software 32(2), 195-222 (2006)
    • (2006) ACM Transactions on Mathematical Software , vol.32 , Issue.2 , pp. 195-222
    • Forth, S.1
  • 6
    • 78651590679 scopus 로고    scopus 로고
    • An extended collection of matrix derivative results for forward and reverse mode algorithmic differentiation
    • Tech. Rep. NA08/01, Oxford University Computing Laboratory
    • Giles, M.: An extended collection of matrix derivative results for forward and reverse mode algorithmic differentiation. Tech. Rep. NA08/01, Oxford University Computing Laboratory (2008)
    • (2008)
    • Giles, M.1
  • 9
    • 27144549311 scopus 로고    scopus 로고
    • The scaling and squaring method for the matrix exponential revisited
    • Higham, N.: The scaling and squaring method for the matrix exponential revisited. SIAM Journal on Matrix Analysis and Applications 26(4), 1179-1193 (2005)
    • (2005) SIAM Journal on Matrix Analysis and Applications , vol.26 , Issue.4 , pp. 1179-1193
    • Higham, N.1
  • 10
    • 43949158530 scopus 로고
    • Matrix inversion algorithms by means of automatic differentiation
    • Kubota, K.: Matrix inversion algorithms by means of automatic differentiation. Applied Mathematics Letters 7(4), 19-22 (1994)
    • (1994) Applied Mathematics Letters , vol.7 , Issue.4 , pp. 19-22
    • Kubota, K.1
  • 16
    • 0032014469 scopus 로고    scopus 로고
    • Using complex variables to estimate derivatives of real functions
    • Squire, W., Trapp, G.: Using complex variables to estimate derivatives of real functions. SIAM Review 10(1), 110-112 (1998)
    • (1998) SIAM Review , vol.10 , Issue.1 , pp. 110-112
    • Squire, W.1    Trapp, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.