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Autor:
Louis B. Rall
Publikováno v:
Reliable Computing. 13:303-308
A method for numerical solution of polynomial equations appeared in the 1247 a.d. book The Nine Sections of Mathematics, by Ch’in Kiu-shao. This procedure was rediscovered independently by W. G. Horner [1773–1827] at the beginning of the 19th cen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ecd38cac18ec976b1d0d62947d38da8
https://doi.org/10.1007/s11155-006-9028-z
https://doi.org/10.1007/s11155-006-9028-z
Autor:
Thomas Reps, Louis B. Rall
Publikováno v:
Higher-Order and Symbolic Computation. 16:93-149
Tools for computational differentiation transform a program that computes a numerical function F(x) into a related program that computes F′(x) (the derivative of F). This paper describes how techniques similar to those used in computational-differe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cec293091cb5c6eef2d2277770045620
https://doi.org/10.1023/a:1023024221391
https://doi.org/10.1023/a:1023024221391
Autor:
Louis B. Rall
Publikováno v:
Reliable Computing. 9:177-182
Ramon E. Moore originated two fertile fields of computational mathematics, interval analysis and automatic differentiation. The first is concerned with the rigorous validation of approximately computed results, and the second with evaluation of deriv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a18968dde01b312c56344f6d4865ccfa
https://doi.org/10.1023/a:1023098519693
https://doi.org/10.1023/a:1023098519693
Publikováno v:
Der Unfallchirurg. 104:167-175
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1a851a770a6a8a3743a30c63eae37dd1
https://doi.org/10.1007/s001130050708
https://doi.org/10.1007/s001130050708
Autor:
L. B. Rall, Ulrich Kulisch
Publikováno v:
Mathematics and Computers in Simulation. 35:435-450
Floating-point arithmetic is the fast way to perform scientific and engineering calculations. Today, individual floating-point operations are maximally accurate as a rule. However, after only two or just a few operations, the result can be completely
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8e5a0223bc7e5f8770fa8c98308029e2
https://doi.org/10.1016/0378-4754(93)90042-s
https://doi.org/10.1016/0378-4754(93)90042-s
Publikováno v:
Molecular and Cellular Biology. 11:4448-4454
The increase in glucose transport that occurs when chicken embryo fibroblasts (CEFs) are transformed by src is associated with an increase in the amount of type 1 glucose transporter protein, and we have previously shown that this effect is due to a
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38bc267d0c2f69ad662ba121cebce673
https://doi.org/10.1128/mcb.11.9.4448
https://doi.org/10.1128/mcb.11.9.4448
Autor:
Thomas W. Reps, Louis B. Rall
Publikováno v:
Automatic Program Development ISBN: 9781402065842
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fe99d572a9f2dddc98b0eab201585c6
https://doi.org/10.1007/978-1-4020-6585-9_13
https://doi.org/10.1007/978-1-4020-6585-9_13
Autor:
Louis B. Rall
Publikováno v:
Automatic Differentiation: Applications, Theory, and Implementations ISBN: 9783540284031
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c0f00b9323b56961961fdfd391f13464
https://doi.org/10.1007/3-540-28438-9_1
https://doi.org/10.1007/3-540-28438-9_1
Akademický článek
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