{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,27]],"date-time":"2026-09-27T13:37:55Z","timestamp":1790516275198,"version":"4.1.0"},"reference-count":17,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[1994,3]]},"abstract":"<jats:p>The computation of large sparse Jacobian matrices is required in many important large-scale scientific problems. Three approaches to computing such matrices are considered: hand-coding, difference approximations, and automatic differentiation using the ADIFOR (automatic differentiation in Fortran) tool. The authors compare the numerical reliability and computational efficiency of these approaches on applications from the MINPACK-2 test problem collection. The conclusion is that ADIFOR is the method of choice, leading to results that are as accurate as hand-coded derivatives, while at the same time outperforming difference approximations in both accuracy and speed.<\/jats:p>","DOI":"10.1137\/0915020","type":"journal-article","created":{"date-parts":[[2005,3,1]],"date-time":"2005-03-01T03:42:10Z","timestamp":1109648530000},"page":"285-294","source":"Crossref","is-referenced-by-count":40,"title":["Computing Large Sparse Jacobian Matrices Using Automatic Differentiation"],"prefix":"10.1137","volume":"15","author":[{"given":"Brett M.","family":"Averick","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jorge J.","family":"Mor\u00e9","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Christian H.","family":"Bischof","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alan","family":"Carle","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Andreas","family":"Griewank","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,13]]},"reference":[{"key":"R1","unstructured":"B. M. Averick, R. G. Carter, J. J. Mor\u00e9, G.L. Xue,  The MINPACK-2 test problem collection,  1992, MCS-P153-0692, Argonne National Laboratory, Argonne, IL, preprint"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1155\/1992\/717832"},{"key":"R3","unstructured":"C. Bischof, G. Corliss, A. Griewank,  Computing second- and higher-order derivatives through univariate Taylor series,  1992, MCS-P296-0392, Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL, preprint"},{"key":"R4","doi-asserted-by":"crossref","unstructured":"C. Bischof, A. Griewank,  ADIFOR: A Fortran system for portable automatic differentiation,  Proc. 4th Symposium on Multidisciplinary Analysis and Optimization, AIAA Paper 92-4744, American Institute of Aeronautics and Astronautics,  1992,  433\u2013441","DOI":"10.2514\/6.1992-4744"},{"key":"R5","unstructured":"C. Bischof, P. Hovland,  Using ADIFOR to compute dense and sparse Jacobians, Tech. 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