A GENERALIZED DEFINITION OF INTERACTIONS AND SINGULAR VALUE DECOMPOSITION OF MULTIWAY ARRAYS

1976 ◽  
Vol 4 (1) ◽  
pp. 32-43 ◽  
Author(s):  
Tadashi YOSHIZAWA
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Definition Of ◽  
Value Decomposition

scholarly journals Kernel Function Definition Completion for Time–Domain State–Space Representations of Radiation Forces: Application to the Hankel Singular Value Decomposition

2021 ◽  
Vol 9 (7) ◽  
pp. 768
Author(s):  
Romain Lecuyer-Le Bris ◽  
Marc Le Boulluec ◽  
Jean-Frédéric Charpentier ◽  
Mohamed Benbouzid
Keyword(s):  
Singular Value Decomposition ◽  
State Space ◽  
Kernel Function ◽  
State Space Model ◽  
Hankel Matrix ◽  
Singular Value ◽  
Radiation Forces ◽  
Function Definition ◽  
Definition Of ◽  
Value Decomposition

This paper focuses on the formulation of state–space representations of radiation forces for marine structures using Hankel Singular Value Decomposition (HSVD), a method used to obtain a state–space realization from a Hankel matrix, with the classical definition of the kernel function and its new definition given in this paper. The first part shows the influence of a term commonly neglected and the resulting improvement by taking this term into account. The second part will focus on the feedthrough matrix to understand why some models have none and why some others, such as HSVD, have one. An exact definition of the kernel function will be given underlying its discontinuity and its causality. This study also shows the interest of extrapolating hydrodynamic coefficients before approaching radiation forces by a state–space model.

scholarly journals Truth and Myths about 2D Tensegrity Trusses

2019 ◽  
Vol 9 (1) ◽  
pp. 179 ◽  
Author(s):  
Paulina Obara ◽  
Joanna Kłosowska ◽  
Wojciech Gilewski
Keyword(s):  
Spectral Analysis ◽  
Singular Value Decomposition ◽  
Mathematical Models ◽  
Stiffness Matrix ◽  
Singular Value ◽  
Precise Definition ◽  
Engineering Structures ◽  
Tensegrity Systems ◽  
Definition Of ◽  
Value Decomposition

The concept of tensegrity is understood in many ways. This term is often improperly used for structures that have some, but not necessarily the key, tensegrity properties. The concept of tensegrity systems is misused in reference to both mathematical models and completed engineering structures. The aim of the study is to indicate which of the plane (2D) trusses presented in the literature are erroneously classified as tensegrities. Singular value decomposition of the compatibility matrix and spectral analysis of the stiffness matrix with the effect of self-equilibrated forces is used for the analysis. A new precise definition of tensegrity trusses is proposed and implemented.

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
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