On the volume-preserving procrustes problem

Research paper by Jian-guo Huang, Jian-fei Mu, Jie-yong Zhou

Indexed on: 01 Dec '04Published on: 01 Dec '04Published in: Journal of Shanghai University (English Edition)


This paper is intended to study the volume-preserving procrustes problem arising from practical areas. The corresponding solution should satisfy a matrix equation which is solved by the singular value decomposition method. Some further results are also given to characterize the solution. Using these results, a numerical algorithm is introduced and some numerical results are provided to illustrate the effectiveness of the algorithm.