Fast algorithms for computing defects and their derivatives in the Regge calculus

Details Fast algorithms for computing defects and their derivatives in the Regge calculus Fast algorithms for computing defects and their derivatives in the Regge calculus

2010-11-08

arxiv.org/abs/1011.1885v1

Class.Quant.Grav.28:185005,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, 10 figures

Scientific paper

10.1088/0264-9381/28/18/185005

Any practical attempt to solve the Regge equations, these being a large system of non-linear algebraic equations, will almost certainly employ a Newton-Raphson like scheme. In such cases it is essential that efficient algorithms be used when computing the defect angles and their derivatives with respect to the leg-lengths. The purpose of this paper is to present details of such an algorithm.

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