An algorithm to compute the polar decomposition of a 3 × 3 matrix

Author:

Higham Nicholas J.,Noferini Vanni

Funder

European Research Council

Engineering and Physical Research Council

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference32 articles.

1. Bar-Itzhack, I.Y.: New method for extracting the quaternion from a rotation matrix. J. Guidance 23(6), 1085–1087 (2000). doi: 10.2514/2.4654

2. Bezanson, J., Karpinski, S., Shah, V.B., Edelman, A.: Julia: A fast dynamic language for technical computing (2012). 1209.5145

3. Bouby, C., Fortuné, D., Pietraszkiewicz, W., Vallée, C.: Direct determination of the rotation in the polar decomposition of the deformation gradient by maximizing a Rayleigh quotient. Z. Angew. Math. Mech. 85(3), 155–162 (2005)

4. Cayley, A.: On certain results relating to quaternions. Philos. Mag. 26(171), 141–145 (1845)

5. Coxeter, H.S.M: Quaternions and reflections. Amer. Math. Monthly 53(3), 136–146 (1946)

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