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Abstract: The total least squares (TLS) method has proven to be effective in many applications which involve a subproblem requiring the solution of a system of linear equations with a numerically rank-deficient coefficient matrix. The TLS method typically requires a singular value decomposition, but practical considerations call for more efficient, yet reliable, methods. We discuss how efficient and reliable complete orthogonal decompositions can be used in TLS problems. (Update)
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BibTeX entry: (Update)
R.D. Fierro, L. Vanhamme, and S. Van Huffel. Total least squares algorithms based on rank-revealing complete orthogonal decompositions. In S. Van Huffel, editor, Recent advances in Total Least Squares techniques and Errors-in-Variables Modeling. Siam, 1997. http://citeseer.ist.psu.edu/fierro96total.html More
@misc{ fierro97total,
author = "R. Fierro and L. Vanhamme and S. Van Huffel",
title = "Total least squares algorithms based on rank-revealing complete orthogonal
decompositions",
text = "R.D. Fierro, L. Vanhamme, and S. Van Huffel. Total least squares algorithms
based on rank-revealing complete orthogonal decompositions. In S. Van Huffel,
editor, Recent advances in Total Least Squares techniques and Errors-in-Variables
Modeling. Siam, 1997.",
year = "1997",
url = "citeseer.ist.psu.edu/fierro96total.html" }
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