Solution of the Discrete Ill-Posed Problem on the Basis of Singular Value Decomposition and Random Projection

2017 ◽  
pp. 434-449
Author(s):  
Elena G. Revunova
Keyword(s):  
Singular Value Decomposition ◽  
Random Projection ◽  
Singular Value ◽  
Ill Posed ◽  
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.

scholarly journals On the application of singular value decomposition and Tikhonov regularization to ill-posed problems in hyperbolic passive location

2013 ◽  
Vol 57 (7-8) ◽  
pp. 1999-2008 ◽  
Author(s):  
Ivan A. Mantilla-Gaviria ◽  
Mauro Leonardi ◽  
Juan V. Balbastre-Tejedor ◽  
Elías de los Reyes
Keyword(s):  
Singular Value Decomposition ◽  
Tikhonov Regularization ◽  
Singular Value ◽  
Passive Location ◽  
Ill Posed ◽  
Value Decomposition

Inverse Identification of Heat Boundary Conditions for 2-D Anisotropic Coating Structures

2011 ◽  
Vol 130-134 ◽  
pp. 1825-1828
Author(s):  
Huan Lin Zhou ◽  
Hu Sha Han ◽  
Chang Zheng Cheng ◽  
Zhong Rong Niu
Keyword(s):  
Boundary Element Method ◽  
Singular Value Decomposition ◽  
Boundary Conditions ◽  
Boundary Element ◽  
Singular Integrals ◽  
Singular Value ◽  
Thin Body ◽  
Ill Posed ◽  
Value Decomposition ◽  
Element Method

The singular value decomposition is employed to identify heat boundary conditions for 2-D anisotropic coating structures. The boundary element method is applied to analyzing the model. The nearly singular integrals in the boundary element method for thin body problems are dealt with by the analytical integral formulas. The ill-posed system is treated by the truncated singular value decomposition technique. Numerical example demonstrates the effectiveness and accuracy of the present algorithm.

Sign in / Sign up

Export Citation Format

Share Document