scholarly journals Convergence of the gradient method for ill-posed problems

2017 ◽  
Vol 11 (4) ◽  
pp. 703-720 ◽  
Author(s):  
Stefan Kindermann ◽  
Keyword(s):  
Gradient Method ◽  
Ill Posed

Theory Study for Moving Force Identification

2012 ◽  
Vol 476-478 ◽  
pp. 2292-2295
Author(s):  
Zhen Chen
Keyword(s):  
Conjugate Gradient Method ◽  
Conjugate Gradient ◽  
Gradient Method ◽  
Noise Immunity ◽  
Identification Accuracy ◽  
Force Identification ◽  
Moving Force ◽  
Study Results ◽  
Ill Posed ◽  
Pre Treatment

Three identification methods, the time domain method (TDM)、the conjugate gradient method (CGM)and the pre-treatment conjugate gradient method (PCGM) are employed for moving force identification. Related research shows that the PCGM have higher identification accuracy and robust noise immunity as well as producing an acceptable solution to ill-posed cases to some extent when they are used to identify the moving force. However, the pre-treatment matrix is very important to the PCGM because it affects the identification accuracy and robust noise immunity as well as ill-posed cases to some extent. The theory study results are practical significant to selection properly pre-treatment matrix.

Tensorial conditional gradient method for solving multidimensional ill-posed problems

2022 ◽  
Vol 173 ◽  
pp. 222-238
Author(s):  
O. Benchettou ◽  
A.H. Bentbib ◽  
A. Bouhamidi ◽  
K. Kreit
Keyword(s):  
Gradient Method ◽  
Conditional Gradient Method ◽  
Ill Posed
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