[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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Some studies on finding the nearest volume-preserving matrix(
)
)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
- 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.