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The revisited total least squares problems with linear equality constraint

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Abstract The total least squares problem with linear equality constraint is proved to be approximated by an unconstrained total least squares problem with a large weight on the constraint. A… Click to show full abstract

Abstract The total least squares problem with linear equality constraint is proved to be approximated by an unconstrained total least squares problem with a large weight on the constraint. A criterion for choosing the weighting factor is given, and a QR-based inverse (QR-INV) iteration method is presented. Numerical results show that the QR-INV method is more efficient than the standard QR-SVD procedure and Schaffrin's inverse iteration method, especially for large and sparse matrices.

Keywords: equality constraint; linear equality; total least; least squares

Journal Title: Applied Numerical Mathematics
Year Published: 2020

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