scholarly journals The singular value decomposition to approximate spectra of dynamical systems. Theoretical aspects

2006 ◽  
Vol 230 (2) ◽  
pp. 502-531 ◽  
Author(s):  
L. Dieci ◽  
C. Elia
Keyword(s):  
Dynamical Systems ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Value Decomposition

Singular Value Decomposition for Constrained Dynamical Systems

1985 ◽  
Vol 52 (4) ◽  
pp. 943-948 ◽  
Author(s):  
R. P. Singh ◽  
P. W. Likins
Keyword(s):  
Dynamical Systems ◽  
Singular Value Decomposition ◽  
Gaussian Elimination ◽  
Equations Of Motion ◽  
Full Rank ◽  
Individual Case ◽  
Singular Value ◽  
Dynamical Equations ◽  
Constrained Dynamical Systems ◽  
Value Decomposition

The method of singular value decomposition is shown to have useful application to the problem of reducing the equations of motion for a class of constrained dynamical systems to their minimum dimension. This method is shown to be superior to classical Gaussian elimination for several reasons: (i) The resulting equations of motion are assured to be of full rank. (ii) The process is more amenable to automation, as may be appropriate in the development of a computer program for application to a generic class of systems. (iii) The analyst is spared the responsibility for the selection of specific coordinates to be eliminated by substitution in each individual case, a selection that has no physical justification but presents abundant risk of mathematical contradiction. This approach is shown to be very efficient when the governing dynamical equations are derived via Kane’s method.

Improving TF-IDF with Singular Value Decomposition (SVD) for Feature Extraction on Twitter

2017 ◽  
Author(s):  
Ammar Ismael Kadhim ◽  
Yu-N Cheah ◽  
Inaam Abbas Hieder ◽  
Rawaa Ahmed Ali
Keyword(s):  
Feature Extraction ◽  
Singular Value Decomposition ◽  
Singular Value ◽  
Value Decomposition

Multi-scale singular value decomposition polarization image fusion defogging algorithm and experiment

2020 ◽  
Vol 13 (6) ◽  
pp. 1-10
Author(s):  
ZHOU Wen-zhou ◽  
◽  
FAN Chen ◽  
HU Xiao-ping ◽  
HE Xiao-feng ◽  
...  
Keyword(s):  
Singular Value Decomposition ◽  
Image Fusion ◽  
Singular Value ◽  
Multi Scale ◽  
Polarization Image ◽  
Value Decomposition
Sign in / Sign up

Export Citation Format

Share Document