Condition numbers of the multidimensional total least squares problems having more than one solution

2019 ◽  
Vol 84 (3) ◽  
pp. 887-908
Author(s):  
Lingsheng Meng ◽  
Bing Zheng ◽  
Yimin Wei
Keyword(s):  
Least Squares ◽  
Total Least Squares ◽  
Condition Numbers ◽  
Least Squares Problems

Perturbation analysis and condition numbers of scaled total least squares problems

2009 ◽  
Vol 51 (3) ◽  
pp. 381-399 ◽  
Author(s):  
Liangmin Zhou ◽  
Lijing Lin ◽  
Yimin Wei ◽  
Sanzheng Qiao
Keyword(s):  
Least Squares ◽  
Perturbation Analysis ◽  
Total Least Squares ◽  
Condition Numbers ◽  
Least Squares Problems

SYSTOLIC ALGORITHMS FOR RECURSIVE TOTAL LEAST SQUARES PARAMETER ESTIMATION AND MIXED RLS/RTLS PROBLEMS

1993 ◽  
Vol 04 (01) ◽  
pp. 55-68 ◽  
Author(s):  
MARC MOONEN
Keyword(s):  
Parameter Estimation ◽  
Least Squares ◽  
Total Least Squares ◽  
Parallel Architectures ◽  
Least Squares Estimation ◽  
Recursive Least Squares ◽  
Recursive Algorithms ◽  
Least Squares Problems ◽  
Linearly Constrained ◽  
Systolic Algorithms

Total least squares parameter estimation is an alternative to least squares estimation though much less used in practice, partly due to the absence of efficient recursive algorithms or parallel architectures. Here it is shown how previously developed systolic algorithms/architectures for recursive least squares estimation can be used for recursive total least squares problems. Unconstrained as well as linearly constrained and "mixed RLS/RTLS" problems are considered.

A contribution to perturbation analysis for total least squares problems

2017 ◽  
Vol 75 (2) ◽  
pp. 381-395 ◽  
Author(s):  
Pengpeng Xie ◽  
Hua Xiang ◽  
Yimin Wei
Keyword(s):  
Least Squares ◽  
Perturbation Analysis ◽  
Total Least Squares ◽  
Least Squares Problems

The revisited total least squares problems with linear equality constraint

2020 ◽  
Vol 152 ◽  
pp. 275-284
Author(s):  
Qiaohua Liu ◽  
Shufang Jin ◽  
Lei Yao ◽  
Dongmei Shen
Keyword(s):  
Least Squares ◽  
Total Least Squares ◽  
Equality Constraint ◽  
Least Squares Problems ◽  
Linear Equality ◽  
Linear Equality Constraint
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