P. Lemmerling et al., ON THE EQUIVALENCE OF CONSTRAINED TOTAL LEAST-SQUARES AND STRUCTURED TOTAL LEAST-SQUARES, IEEE transactions on signal processing, 44(11), 1996, pp. 2908-2911
Several extensions of the total least squares (TLS) method that are ab
le to calculate a structured rank deficient approximation of a data ma
trix have been developed recently. The main result of this corresponde
nce is the demonstration of the equivalence of two of these approaches
, namely, the constrained total least squares (CLS) approach and the s
tructured total least squares (STLS) approach. We also present a numer
ical comparison of both methods.