Perturbation bounds for the linear least squares problem subject to linear inequality constraints

1983 ◽  
Vol 23 (4) ◽  
pp. 500-519 ◽  
Author(s):  
Per Lötstedt
Keyword(s):  
Least Squares ◽  
Linear Inequality ◽  
Inequality Constraints ◽  
Linear Least Squares ◽  
Least Squares Problem ◽  
Perturbation Bounds ◽  
Linear Inequality Constraints ◽  
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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