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Books and Theses
- 1981
[b1]Louis B. Rall:
Automatic Differentiation: Techniques and Applications. Lecture Notes in Computer Science 120, Springer 1981, ISBN 3-540-10861-0
Journal Articles
- 2007
- [j6]Louis B. Rall:
Early Automatic Differentiation: The Ch'in-Horner Algorithm. Reliab. Comput. 13(3): 303-308 (2007) - 2003
- [j5]Thomas W. Reps, Louis B. Rall:
Computational Divided Differencing and Divided-Difference Arithmetics. High. Order Symb. Comput. 16(1-2): 93-149 (2003) - [j4]Louis B. Rall:
Evaluation of Functions, Gradients, and Jacobians. Reliab. Comput. 9(2): 177-182 (2003) - 1985
- [j3]Annie A. M. Cuyt, Louis B. Rall:
Computational Implementation of the Multivariate Halley Method for Solving Nonlinear Systems of Equations. ACM Trans. Math. Softw. 11(1): 20-36 (1985) - 1984
- [j2]Louis B. Rall:
Differentiation in PASCAL-SC: type GRADIENT. ACM Trans. Math. Softw. 10(2): 161-184 (1984) - 1979
- [j1]M. D. Enger, Louis B. Rall, C. E. Hildebrand:
Thionein gene expression in Cd++-variants of the CHO cell: correlation of thionein synthesis rates with translatable mRNA levels during induction, deinduction, and superinduction. Nucleic Acids Res. 7(1): 271-288 (1979)
Conference and Workshop Papers
- 2008
- [c2]H. G. W. Burchard, Louis B. Rall:
A Variant Kantororvich Theorem and High Accuracy Error Estimates in Newton's Method. CSC 2008: 135-141 - 1985
- [c1]Louis B. Rall:
Improved Interval Bounds for Ranges of Functions. Interval Mathematics 1985: 143-155
Parts in Books or Collections
- 2001
- [p2]Louis B. Rall, Thomas W. Reps:
Algorithmic Differencing. Perspectives on Enclosure Methods 2001: 133-146 - 1990
- [p1]Louis B. Rall:
Differentiation Arithmetics. Computer Arithmetic and Self-Validating Numerical Methods 1990: 73-90
Reference Works
- 2009
- [r2]Louis B. Rall, George F. Corliss:
Automatic Differentiation: Point and Interval. Encyclopedia of Optimization 2009: 165-170 - [r1]George F. Corliss, Louis B. Rall:
Bounding Derivative Ranges. Encyclopedia of Optimization 2009: 318-325
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