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 weighted Strand’s iteration

2018 ◽  
Vol 34 (2) ◽  
pp. 183-190
Author(s):  
D. CARP ◽  
◽  
C. POPA ◽  
T. PRECLIK ◽  
U. RUDE ◽  
...  
Keyword(s):  
Iterative Method ◽  
Least Squares ◽  
Numerical Approximation ◽  
Iterative Algorithms ◽  
Linear Least Squares ◽  
Minimal Norm ◽  
Least Squares Problem ◽  
Minimal Norm Solution ◽  
Linear Least Squares Problem

In this paper we present a generalization of Strand’s iterative method for numerical approximation of the weighted minimal norm solution of a linear least squares problem. We prove convergence of the extended algorithm, and show that previous iterative algorithms proposed by L. Landweber, J. D. Riley and G. H. Golub are particular cases of it.

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