scholarly journals Condition numbers of the minimum norm least squares solution for the least squares problem involving Kronecker products

2021 ◽  
Vol 6 (9) ◽  
pp. 9366-9377
Author(s):  
Lingsheng Meng ◽  
◽  
Limin Li
Keyword(s):  
Least Squares ◽  
Condition Numbers ◽  
Minimum Norm ◽  
Kronecker Products ◽  
Least Squares Problem ◽  
Least Squares Solution

On Condition Numbers for the Weighted Moore-Penrose Inverse and the Weighted Least Squares Problem involving Kronecker Products

2014 ◽  
Vol 4 (1) ◽  
pp. 1-20
Author(s):  
T. T. Chen ◽  
W. Li
Keyword(s):  
Least Squares ◽  
Condition Number ◽  
Matrix Function ◽  
Kronecker Product ◽  
Weighted Least Squares ◽  
Condition Numbers ◽  
Kronecker Products ◽  
General Matrix ◽  
Least Squares Problem ◽  
Explicit Expressions

AbstractWe establish some explicit expressions for norm-wise, mixed and componentwise condition numbers for the weighted Moore-Penrose inverse of a matrix A ⊗ B and more general matrix function compositions involving Kronecker products. The condition number for the weighted least squares problem (WLS) involving a Kronecker product is also discussed.

scholarly journals On condition numbers for Moore-Penrose inverse and linear least squares problem involving Kronecker products

2012 ◽  
Vol 20 (1) ◽  
pp. 44-59 ◽  
Author(s):  
Huaian Diao ◽  
Weiguo Wang ◽  
Yimin Wei ◽  
Sanzheng Qiao
Keyword(s):  
Least Squares ◽  
Condition Numbers ◽  
Kronecker Products ◽  
Linear Least Squares ◽  
Least Squares Problem ◽  
Linear Least Squares Problem

scholarly journals On the partial condition numbers for the indefinite least squares problem

2018 ◽  
Vol 123 ◽  
pp. 200-220 ◽  
Author(s):  
Hanyu Li ◽  
Shaoxin Wang
Keyword(s):  
Least Squares ◽  
Condition Numbers ◽  
Least Squares Problem ◽  
Partial Condition

Least-Squares Solution with the Minimum-Norm for the Matrix Equation A T XB+B T X T A = D and Its Applications

2007 ◽  
Vol 23 (2) ◽  
pp. 269-280 ◽  
Author(s):  
An-ping Liao ◽  
Yuan Lei ◽  
Xi-yan Hu
Keyword(s):  
Least Squares ◽  
Matrix Equation ◽  
Minimum Norm ◽  
Least Squares Solution ◽  
The Matrix

scholarly journals On mixed and componentwise condition numbers for indefinite least squares problem

2014 ◽  
Vol 448 ◽  
pp. 104-129 ◽  
Author(s):  
Hanyu Li ◽  
Shaoxin Wang ◽  
Hu Yang
Keyword(s):  
Least Squares ◽  
Condition Numbers ◽  
Least Squares Problem
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