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CORR
2010
Springer
102views Education» more  CORR 2010»
13 years 1 months ago
A contribution to the conditioning of the total least squares problem
We derive closed formulas for the condition number of a linear function of the total least squares solution. Given an over determined linear systems Ax = b, we show that this condi...
Marc Baboulin, Serge Gratton
LSSC
2005
Springer
13 years 10 months ago
On Weighted Structured Total Least Squares
In this contribution we extend our previous results on the structured total least squares problem to the case of weighted cost functions. It is shown that the computational complex...
Ivan Markovsky, Sabine Van Huffel
SIAMMAX
2010
116views more  SIAMMAX 2010»
12 years 11 months ago
Structured Total Maximum Likelihood: An Alternative to Structured Total Least Squares
Abstract. Linear inverse problems with uncertain measurement matrices appear in many different applications. One of the standard techniques for solving such problems is the total l...
Amir Beck, Yonina C. Eldar
APPML
2007
106views more  APPML 2007»
13 years 4 months ago
Tikhonov regularization for weighted total least squares problems
In this paper, we study and analyze the regularized weighted total least squares (RWTLS) formulation. Our regularization of the weighted total least squares problem is based on th...
Yimin Wei, Naimin Zhang, Michael K. Ng, Wei Xu
CSC
2008
13 years 6 months ago
An Algorithm for Solving Scaled Total Least Squares Problems
Abstract - In this paper, we present a rankrevealing two-sided orthogonal decomposition method for solving the STLS problem. An error analysis of the algorithm is given. Our numeri...
Sanzheng Qiao, Wei Xu, Yimin Wei