Computing the spectral decomposition of symmetric matrices and the singular value decomposition of nonsymmetric matrices with guaranteed accuracy

2007 ◽  
Vol 43 (2) ◽  
pp. 159-169 ◽  
Author(s):  
A. M. Matsekh ◽  
E. P. Shurina
Keyword(s):  
Singular Value Decomposition ◽  
Spectral Decomposition ◽  
Singular Value ◽  
Symmetric Matrices ◽  
Guaranteed Accuracy ◽  
Value Decomposition ◽  
Nonsymmetric Matrices

scholarly journals НАСЛЕДОВАНИЕ СИНГУЛЯРНЫХ ВЕКТОРОВ ПРИ ПОПОЛНЕНИИ МАТРИЦЫ СТОЛБЦОМ

2021 ◽  
Vol 6 (12(81)) ◽  
pp. 36-40
Author(s):  
В. Кутрунов ◽  
Т. Латфуллин
Keyword(s):  
Singular Value Decomposition ◽  
Singular Value ◽  
Symmetric Matrices ◽  
Singular Vectors ◽  
The Matrix ◽  
Singular Value Decompositions ◽  
Singular Numbers ◽  
The Right ◽  
Value Decomposition

Let the matrix A1 be obtained from the matrix A by adding a column to it on the right. The possibility of inheritance of singular numbers and the corresponding singular vectors when passing from matrix A to matrix A1 is investigated. The singular value decompositions of the matrix A are based on the scalar and vector properties of the square symmetric matrices ATA and AAT. The article deals with the singular value decomposition of the matrix A, which has more rows than columns, and the decomposition is based on the analysis of the ATA matrix.

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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