The Total Least Squares Problem with Multiple Right-Hand Sides

@inproceedings{Hnetynkov2010TheTL,
  title={The Total Least Squares Problem with Multiple Right-Hand Sides},
  author={Iveta Hnetynkov{\'a} and Martin Plesinger and Diana Maria Sima and Zdenek Strakos and Sabine Van Huffel},
  year={2010}
}
The total least squares (TLS) techniques, also called orthogonal regression and errors-in-variables modeling, see [15, 16], have been developed independently in several areas. For a given linear (orthogonally invariant) approximation problem AX ≈ B, where A ∈ Rm×n, B ∈ Rm×d, X ∈ Rn×d, the TLS formulation aims at a solution of a modified problem (A + E)X = B + G such that min ‖[G,E]‖F . The algebraic TLS formulation has been investigated for decades, see the early works [5], [4, Section 6], [13… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 16 references

The Total Least Squares Problem: Computational Aspects and Analysis, SIAM Publications

S. Van Huffel, J. Vandewalle
1991
View 4 Excerpts
Highly Influenced

The Total Least Squares Problem and Reduction of Data in AX ≈ B, Ph.D. thesis, Institute of Computer Science, AS CR, Prague, and Faculty of Mechatronics

M. Plešinger
Technical University of Liberec, Czech Republic, • 2008
View 2 Excerpts

A Band-Lanczos Generalization of Bidiagonal Decomposition, Presentation

Å. Björck
Conference in Honor of G. Dahlquist, Stockholm, • 2006
View 1 Excerpt

A band-Lanczos algorithm for least squares and total least squares problems, In: Book of abstracts of 4th Total Least Squares and Errors-in-Variables Modeling Workshop

Å. Björck
2006
View 1 Excerpt

A bandLanczos algorithm for least squares and total least squares problems

Å. Björck
2006

Bidiagonal Decomposition and Least Squares, Presentation

Å. Björck
2005
View 1 Excerpt

Core Problems in Linear Algebraic Systems

SIAM J. Matrix Analysis Applications • 2005
View 3 Excerpts

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