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Publication: An efficient algorithm for the Riemannian 10j symbols

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Title An efficient algorithm for the Riemannian 10j symbols
Authors/Editors* J. Daniel Christensen and Greg Egan
Where published* Classical and Quantum Gravity
How published* Journal
Year* 2002
Volume 19
Number
Pages 1184-1193
Publisher
Keywords
Link http://jdc.math.uwo.ca/papers.html
Abstract
The 10j symbol is a spin network that appears in the partition function for the Barrett-Crane model of Riemannian quantum gravity. Elementary methods of calculating the 10j symbol require order(j^9) or more operations and order(j^2) or more space, where j is the average spin. We present an algorithm that computes the 10j symbol using order(j^5) operations and order(j^2) space, and a variant that uses order(j^6) operations and a constant amount of space. An implementation has been made available on the web.
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