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[1] Mu Jianfei, Huang Jianguo,. Some studies on finding the nearest volume-preserving matrix [J]. Journal of Southeast University (English Edition), 2005, 21 (1): 119-122. [doi:10.3969/j.issn.1003-7985.2005.01.026]
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
21
Issue:
2005 1
Page:
119-122
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2005-03-30

Info

Title:
Some studies on finding the nearest volume-preserving matrix
Author(s):
Mu Jianfei Huang Jianguo
Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China
Keywords:
volume-preserving matrix matrix nearness problem singular value decomposition
PACS:
O241.1
DOI:
10.3969/j.issn.1003-7985.2005.01.026
Abstract:
Finding the nearest volume-preserving matrix for a given matrix is studied.A matrix equation is first obtained, which is a necessary condition for the solution to the problem.Then the equation is solved by the singular value decomposition method.Some additional results are also provided to further characterize the solution.Using these results, a numerical algorithm is introduced and a numerical test is given to illustrate the effectiveness of the algorithm.

References:

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Memo

Memo:
Biography: Mu Jianfei(1961—), male, associate professor, jfmu@sjtu.edu.cn.
Last Update: 2005-03-20