http://scholars.ntou.edu.tw/handle/123456789/16517
Title: | A new point of view for the polar decomposition using singular value decomposition | Authors: | Jeng-Tzong Chen C. F. Lee S. Y. Lin |
Keywords: | continuum mechanics;matrix computation;singular value decompsition | Issue Date: | 2002 | Publisher: | Academic Publications | Journal Volume: | 2 | Journal Issue: | 3 | Start page/Pages: | 257-264 | Source: | International Journal of Computational and Numerical Analysis and Applications | Abstract: | In this paper, the singular calue decomposition and polar decomposition in continuum mechanics are compared with and the relation is constructed. The matrix analysis is studied and the geometric imterpretation is explained. The dual bases can be extracted from the right ande left vectors of singular value decomposition. An illustrative example of the simple shear case is shown to see the validity of the proposed formulation. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/16517 | ISSN: | 1311-6789 |
Appears in Collections: | 河海工程學系 |
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