Singular value decomposition for skew-Takagi factorization with quantum applications

2021 ◽  
pp. 1-8
Author(s):  
A. E. Teretenkov
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Takagi Factorization ◽  
Value Decomposition

scholarly journals A tale of three diagonalizations

2021 ◽  
pp. 2130003
Author(s):  
Howard E. Haber
Keyword(s):  
Quantum Theory ◽  
Singular Value Decomposition ◽  
General Formula ◽  
Similarity Transformation ◽  
Singular Value ◽  
Normal Matrix ◽  
Unitary Similarity ◽  
Unitary Similarity Transformation ◽  
Takagi Factorization ◽  
Value Decomposition

In addition to the diagonalization of a normal matrix by a unitary similarity transformation, there are two other types of diagonalization procedures that sometimes arise in quantum theory applications — the singular value decomposition and the Autonne–Takagi factorization. In this pedagogical review, each of these diagonalization procedures is performed for the most general [Formula: see text] matrices for which the corresponding diagonalization is possible, and explicit analytical results are provided in each of the three cases.

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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