Baydin, Atılım Güneş; Pearlmutter, Barak A.; Radul, Alexey Andreyevich; Siskind, Jeffrey Mark Automatic differentiation in machine learning: a survey. (English) Zbl 06982909 J. Mach. Learn. Res. 18(2017-2018), Paper No. 153, 43 p. (2018). MSC: 65D25 PDFBibTeX XMLCite \textit{A. G. Baydin} et al., J. Mach. Learn. Res. 18, Paper No. 153, 43 p. (2018; Zbl 06982909) Full Text: arXiv Link
Griewank, Andreas Who invented the reverse mode of differentiation? (English) Zbl 1293.65035 Doc. Math. Extra Vol., Optimization Stories, 389-400 (2012). MSC: 65D25 65-03 01A60 PDFBibTeX XMLCite \textit{A. Griewank}, Doc. Math. Extra Vol., 389--400 (2012; Zbl 1293.65035) Full Text: EMIS
Christianson, Bruce A Leibniz notation for automatic differentiation. (English) Zbl 1251.65024 Forth, Shaun (ed.) et al., Recent advances in algorithmic differentiation. Selected papers based on the presentations at the 6th international conference on automatic differentiation (AD2012), Fort Collins, CO, USA, July 23–27, 2012. Berlin: Springer (ISBN 978-3-642-30022-6/hbk; 978-3-642-30023-3/ebook). Lecture Notes in Computational Science and Engineering 87, 1-9 (2012). MSC: 65D25 26A24 PDFBibTeX XMLCite \textit{B. Christianson}, Lect. Notes Comput. Sci. Eng. 87, 1--9 (2012; Zbl 1251.65024) Full Text: DOI Link
Ono, H.; Yoshida, T. Two-stage explicit Runge-Kutta type methods using derivatives. (English) Zbl 1061.65066 Japan J. Ind. Appl. Math. 21, No. 3, 361-374 (2004). MSC: 65L06 65L05 34A34 65L70 65D25 PDFBibTeX XMLCite \textit{H. Ono} and \textit{T. Yoshida}, Japan J. Ind. Appl. Math. 21, No. 3, 361--374 (2004; Zbl 1061.65066) Full Text: DOI
Martins, Joaquim R. R. A.; Sturdza, Peter; Alonso, Juan J. The complex-step derivative approximation. (English) Zbl 1072.65027 ACM Trans. Math. Softw. 29, No. 3, 245-262 (2003). MSC: 65D25 PDFBibTeX XMLCite \textit{J. R. R. A. Martins} et al., ACM Trans. Math. Softw. 29, No. 3, 245--262 (2003; Zbl 1072.65027) Full Text: DOI HAL Backlinks: MO
Iri, Masao Roles of automatic differentiation in nonlinear analysis and high-quality computation. (English) Zbl 0894.90135 Nonlinear Anal., Theory Methods Appl. 30, No. 7, 4317-4328 (1997). MSC: 90C30 65Y20 65K05 65D25 PDFBibTeX XMLCite \textit{M. Iri}, Nonlinear Anal., Theory Methods Appl. 30, No. 7, 4317--4328 (1997; Zbl 0894.90135) Full Text: DOI
Hovland, P.; Bischof, C.; Spiegelman, D.; Casella, M. Efficient derivative codes through automatic differentiation and interface contraction: An application in biostatistics. (English) Zbl 0891.65016 SIAM J. Sci. Comput. 18, No. 4, 1056-1066 (1997). Reviewer: J.Illán González (Vigo) MSC: 65D25 65Y20 PDFBibTeX XMLCite \textit{P. Hovland} et al., SIAM J. Sci. Comput. 18, No. 4, 1056--1066 (1997; Zbl 0891.65016) Full Text: DOI
Kubota, Koichi PADRE2 – Fortran precompiler for automatic differentiation and estimates of rounding errors. (English) Zbl 0868.65008 Berz, Martin (ed.) et al., Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Philadelphia, PA: SIAM. 367-374 (1996). Reviewer: A.Bultheel (Leuven) MSC: 65D25 65Y15 68N20 65K05 PDFBibTeX XMLCite \textit{K. Kubota}, in: Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12--14, 1996. Philadelphia, PA: SIAM. 367--374 (1996; Zbl 0868.65008)
Berz, Martin (ed.); Bischof, Christian (ed.); Corliss, George (ed.); Griewank, Andreas (ed.) Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. (English) Zbl 0857.00033 Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics. xvi, 421 p. (1996). MSC: 00B25 65-06 PDFBibTeX XMLCite \textit{M. Berz} (ed.) et al., Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12--14, 1996. Philadelphia, PA: SIAM (1996; Zbl 0857.00033)
Griewank, Andreas; Juedes, David; Utke, Jean Algorithm 755: ADOL-C: A package for the automatic differentiation of algorithms written in C/C++. (English) Zbl 0884.65015 ACM Trans. Math. Softw. 22, No. 2, 131-167 (1996). MSC: 65D25 26-04 65Y15 PDFBibTeX XMLCite \textit{A. Griewank} et al., ACM Trans. Math. Softw. 22, No. 2, 131--167 (1996; Zbl 0884.65015) Full Text: DOI Link
Juedes, David W. A taxonomy of automatic differentiation tools. (English) Zbl 0782.65029 Automatic differentiation of algorithms, Proc. 1st SIAM Workshop, Beckenridge/CO (USA) 1991, 315-329 (1991). MSC: 65D25 PDFBibTeX XMLCite \textit{D. W. Juedes}, in: Automatic differentiation of algorithms. Theory, implementation, and application. Proceedings of the first SIAM workshop, held in Beckenridge, CO, USA, January 6-8, 1991. Philadelphia, PA: SIAM. 315--329 (1991; Zbl 0782.65029)
Kubota, Koichi PADRE2, a Fortran precompiler yielding error estimates and second derivatives. (English) Zbl 0782.68030 Automatic differentiation of algorithms, Proc. 1st SIAM Workshop, Beckenridge/ CO (USA) 1991, 251-262 (1991). MSC: 68N20 65D25 PDFBibTeX XMLCite \textit{K. Kubota}, in: Automatic differentiation of algorithms. Theory, implementation, and application. Proceedings of the first SIAM workshop, held in Beckenridge, CO, USA, January 6-8, 1991. Philadelphia, PA: SIAM. 251--262 (1991; Zbl 0782.68030)