Truncated Singular Value Decomposition Inversion Based on Extended Nuclear Matrix in Dynamic Light Scattering

2018 ◽  
Vol 47 (7) ◽  
pp. 729001
Author(s):  
黄钰 HUANG Yu ◽  
申晋 SHEN Jin ◽  
徐敏 XU Min ◽  
孙成 SUN Cheng ◽  
刘伟 LIU Wei ◽  
...  
Keyword(s):  
Light Scattering ◽  
Dynamic Light Scattering ◽  
Singular Value Decomposition ◽  
Nuclear Matrix ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Value Decomposition

A Hybrid Non-Negative Inversion of Dynamic Light Scattering Based on Truncated Singular Value Decomposition

2013 ◽  
Vol 40 (6) ◽  
pp. 0608001
Author(s):  
窦震海 Dou Zhenhai ◽  
王雅静 Wang Yajing ◽  
申晋 Shen Jin ◽  
刘伟 Liu Wei ◽  
高珊珊 Gao Shanshan
Keyword(s):  
Light Scattering ◽  
Dynamic Light Scattering ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Truncated Singular Value Decomposition ◽  
Value Decomposition

An Inversion Algorithm of Dynamic Light Scattering Based on Singular Value Decomposition

2013 ◽  
Vol 42 (11) ◽  
pp. 1324-1328
Author(s):  
于向飞 YU Xiangfei ◽  
杨晖 YANG Hui ◽  
杨海马 YANG Haima ◽  
郑刚 ZHENG Gang ◽  
李军 LI Jun ◽  
...  
Keyword(s):  
Light Scattering ◽  
Dynamic Light Scattering ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Inversion Algorithm ◽  
Value Decomposition

scholarly journals A modified truncation singular value decomposition method for solving ill-posed problems

2018 ◽  
Vol 13 ◽  
pp. 174830181881360 ◽  
Author(s):  
Zhenyu Zhao ◽  
Riguang Lin ◽  
Zehong Meng ◽  
Guoqiang He ◽  
Lei You ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Decomposition Method ◽  
Singular Value ◽  
Numerical Results ◽  
New Method ◽  
Truncated Singular Value Decomposition ◽  
Singular Value Decomposition Method ◽  
Ill Posed ◽  
Value Decomposition

A modified truncated singular value decomposition method for solving ill-posed problems is presented in this paper, in which the solution has a slightly different form. Both theoretical and numerical results show that the limitations of the classical TSVD method have been overcome by the new method and very few additive computations are needed.

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