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by Eugene V. Zima
In Proceedings of the 2001 international symposium on symbolic and algebraic computation
http://scg1.uwaterloo.ca/papers/zima_issac2001.ps
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Abstract:
Backward and mixed chains of recurrences are introduced. A complete set of chains of recurrences manipulation tools is described. Applications of these tools, related to the safety and numeric stability of chained computations are given. 1.
Citations
|
479
|
Accuracy and stability of numerical algorithms
– Higham
- 1996
|
|
372
|
Concrete Mathematics
– Graham, Knuth, et al.
- 1994
|
|
89
|
Probability Theory
– Jeffrey
- 1961
|
|
31
|
Chains of recurrences - a method to expedite the evaluation of closed-form functions
– BACHMANN, WANG, et al.
- 1994
|
|
23
|
Simplification and optimization transformations of chains of recurrences
– Zima
- 1995
|
|
16
|
Chains of recurrences
– BACHMANN
- 1996
|
|
16
|
Automatic construction of systems of recurrence relations
– ZIMA
- 1984
|
|
12
|
Multidimensional chains of recurrences
– Kislenkov, Mitrofanov, et al.
- 1998
|
|
12
|
Maple V Programming Guide
– Monagan, Geddes, et al.
- 1996
|
|
10
|
Symbolic evaluation of chains of recurrences for loop optimization
– Engelen
- 2000
|
|
9
|
From Honest to Intelligent Plotting
– Avitzur, Bachmann, et al.
- 1995
|
|
6
|
The art of computer programming. V.2. Seminumerical Algorithms. Second edition
– Knuth
- 1981
|
|
4
|
Mapping Techniques for Parallel Evaluation of Chains of Recurrences
– Casavant, Vadivelu, et al.
- 1996
|
|
2
|
System of Recurrence Relations and Loops Optimization
– Zima
- 1985
|